Answers
Answer:
Step-by-step explanation:
The first thing you have to do is look at the mother curve. That curve is y = 1/x
It becomes undefined at x = 0 (I will show both curves below).
That is not what has been given. The graph you have been given becomes undefined at x = - 1 , so the equation of the curve (so far) y = 1/(x + 1)
Now we have to worry about the y intercept. When x = 0, y = 4. That can be accomplished in two ways
A. y = 4/(x + 1) or
B. y = 2/(x + 1) + 2 or
C. y = 1/(x + 1) + 3
All three of these will give a value of y = 4 when x = 0. But you have 1 problem left. What happens as x goes to say 5.
The value of A will give y = 4/(5 + 1)=4/6 = 2/3. Which does not work.
The value of C will give y = 1/(5 + 1) + 3 which gives 3 1/5 which also does not work.
Only B works. y = 2/(5+1) + 2 = 2/6 + 2 = 2 1/3 which is a little above the horizontal asymptote.
Red: y = 1/x
Blue: y = 2/(x + 1) + 2
The value at the end is never going to change. y will always be just a bit
Related Questions
What is the equation of the following line? Be sure to scroll down to see all the answers
Answers
Answer:
y = 6x
Step-by-step explanation:
Find slope
Formula
y2 - y1/x2 - x10 - (-3) = 3
0 - (-1/2) = 1/2
Simplify
3/(1/2) = 6
y = 6x
y-intercept
The line crosses the origin, so the y-intercept is 0.
Answer
y = 6x
How do you write numbers in scientific notation? 0.0021
Answers
Answer: I know you prob don't need this answer anymore but this is for the people who look it up and need it.
Step-by-step explanation:
It's 2.1*10^-3
[tex]2.1 \times 10^{-3[/tex] is the scientific notation of the given number.
To write in scientific notation,
Write the non-zero digits as a decimal number between 1 and 10. In this case, we have 2.1.Count the number of decimal places you moved the decimal point to get the original number. In this case, the decimal point was moved 3 places to the right to get from 0.0021 to 2.1.Write the number in the form of [tex]a \times 10^b[/tex], where a is the decimal number from step 3, and b is the number of decimal places you moved the decimal point in step 4. In this case, the number 0.0021 can be written as [tex]2.1 \times 10^{-3[/tex].So, in scientific notation, 0.0021 is written as [tex]2.1 \times 10^{-3[/tex].
Learn more about Mathematical operations here:
https://brainly.com/question/20628271
#SPJ6
What is the simplified form of the expression?
Answers
Answer:
7c^2d-7c+4d-10
Step-by-step explanation:
Start off with the term that has c^2 in it. 5c^2d + 2C = 7c^2d, then since you have multiple choice, the d value differs between the two answer choices that have 7c^2d so you can do +3d +d to get +4d to get the fourth answer choice.
To check your work, you can add/subtract each term to see if you get 7c^2d-7c+4d-10
A class trip to a beach has been planned for your senior trip. The resort only allows swimming when the temperature is between 75 degrees and 110 degrees. There is room for 50 people on your trip. Write the constraints to represent this real-world problem, where x is the temperature and y is the number of people on your trip
A
[tex]0 < x \leqslant 50 \: and \: 75 < y < 110[/tex]
B
[tex]x > 75 \: and \: y < 110[/tex]
C
[tex]75 < x < 110 \: and \: 0 < y \leqslant 50[/tex]
D
[tex]x < 110 \: and \: y > 75[/tex]
Answers
Answer:
[tex]\large\boxed{C.\ 75<x<110\ and\ 0<y\leq50}[/tex]
Step-by-step explanation:
x - the temperature
y - the number of people
the temperature is between 75 degrees and 110 degrees:
75 < x < 110
the room for 50 people:
0 < y ≤ 50
Answer:
C
Step-by-step explanation:
We know x is more than 75
75<x
and there is room for 50 people and we have to use y
0<y<110
_^
The only possible answer is C hope this helps :)
Find m DEF
A. 30
B. 60
C. 90
D.120
Answers
The little red lines on each side of the triangle mean that the sides are all equal.
A triangle that has all 3 sides the same is an equilateral triangle.
Because all the sides are identical all 3 inside angles are also identical.
180 / 3 = 60 degrees
The outside angle which is DEF would equal 180 - the inside angle.
DEF = 180 - 60 = 120.
The answer is D.
Answer:
120°
Step-by-step explanation:
It is an equilateral triangle, so all its sides and internal angles measure the same.
The sum of the internal angles of a triangle must be 180°, so each internal angle measures 60°.
The DEF angle is an external angle of that triangle, we can use the next property:
An external angle of a triangle is the sum of the internal angles opposed to it.
The two opposite angles to DEF are DCE and CDE:
DEF = DCE + CDE = 60 ° + 60 ° = 120°
Another way to find this same result is to notice that DEF + DEC total 180° since they form a straight line, and we know that DEC measures 60°
So:
DEF + DEC = 180 °
DEF = 180 ° - DEC
DEF = 180 ° -60 °
DEF = 120 °
The first two terms in a geometric series are 20, 22. To two decimal places, the sum of the first k terms of the series is 271.59. Find k.
Answers
Answer:
k=9
Step-by-step explanation:
First find r=22/20=1.1
The sum of the first k terms formula is a1•(1-r^k)/(1-r)
a1=20 and the sum is 271.59
Now plug in these values in the formula and find k.
271.59=20(1-1.1^k)/(1-1.1)
When you simplify this equation, you will get k=ln(2.358)/ln(1.1)
k=9
Suppose BCA is congruent to EDA. Using only the information provided in this problem, can you use the
SSS Postulate or the SAS Postulate to prove triangle ABC is congruent to triangle AED?
Answers
Answer:
A. By SAS only
Step-by-step explanation:
Side Side Side postulate (SSS) states that if three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.
Side Angle Side postulate (SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
In triangles ABC and AED:
sides ACand AD are congruent (from the diagram);angles BCA and EDA are congruent (given);sides BC and ED are congruent (from the diagram).So, SAS postulate can be applied.
SSS postulate cannot be applied, because it is not given that sides AB and AE are conruent.
Answer:
ΔABC and ΔAED are congruent to each other by SAS rule.
Step-by-step explanation:
We are given a figure in the question.
The figure shows that:
AC = AD, BC = ED, ∠BAC = ∠EAD
We are also given that triangle BCA is congruent to triangle EDA.
Now, we need to prove that triangle ABC is congruent to triangle AED.
We will use SAS criterion of congruence.
In ΔABC and ΔAED,
AC = AD, ∠BAC = ∠EAD, , BC = ED( all given in the figure)
Hence, the two triangles are congruent to each other by SAS rule.
What was Weston’s error?
In Step 2, the second fraction should have been out of a multiple of 40.
In Step 2, the multiplication relationship shown should have been division.
In Step 4, the decimal should not have been moved.
In Step 4, the decimal should have been moved two places instead of one.
Answers
Check the picture below.
Answer:
[tex]\frac{2.5}{100}=0.025\:or\:2.5\%[/tex]
Step-by-step explanation:
In step 4.
Weston made a mistake when he divided 2.5 by 100. He wrote it as he had multiplied 2.5 by 10 instead of moving the point back two decimals places to the left.
In the Step 4:
[tex]\frac{2.5}{100}= 0.025\:or\:2.5\:\%[/tex]
This can be verified by dividing 1 over 40, that'll give us 0.025
Find the lateral area of each prism. Round to the nearest tenth if necessary.
The dimension labeled 11 is the height of the prism.
Question 4 options:
334 units2
264 units2
299 units2
312 units2
Answers
Answer:
264 unit^2.
Step-by-step explanation:
The lateral area is the sum of the 2 sides of area 5*11 and the 2 sides of area 7^11.
That would be 2 * 5 * 11 + 2*7*11
= 264 unit^2.
For this case we have that by definition, the lateral area of a prism is given by:
[tex]LA = 2ac + 2bc[/tex]
Where:
a: It is the height
b: It is the width
c: It's the long
According to the figure we have:
[tex]a = 5 \ units\\b = 7 \ units\\c = 11 \ units[/tex]
Substituting:
[tex]LA = 2 * 5 * 11 + 2 * 7 * 11\\LA = 110 + 154\\LA = 264[/tex]
Finally, the lateral area of the prism is [tex]264 \ units ^ 2[/tex]
ANswer:
Option B
the chef at a school cafeteria asked students whether they like peas. for the students surveyed, are liking peas and being male independent or dependent events? justify your answer
A.) Dependent;
P(likes peas) =39%
P(male/likes peas) =54%
since these probabilities are not equal, the events are dependent.
B.) Dependent;
P(likes peas) =39%
P(likes peas/male) = 42%
since these probabilities are not equal, the events are dependent.
C.) Independent;
P(likes peas) =39%
P(likes peas/male) =42%
since these probabilities are not equal, the events are independent.
D.) Independent;
P(likes peas) =39%
P(male/likes peas) =54%
since these probabilities are not equal, these events are independent.
Answers
Answer:
Option B
Step-by-step explanation:
Given:
total No. of students liking peas= 78
total no. of male students= 100
total number of students= 200
no. of male students liking peas= 42
Now we need to find are liking peas and being male independent or dependent events
P(likes peas)= 78/00
=0.39
=39%
P(likes peas/male) = 42/100
= 42%
as the two probabilities are not equal the two events are dependent.
Hence option B is correct: Dependent;
since these probabilities are not equal, the events are dependent!
Answer:
B
Step-by-step explanation:
In the Dependent case the following relation must be satisfied:
p(a|b) = p(a∩b)/p(b)
Or, in terms of this problem:
p(like peas|male) = p(like peas∩male)/p(male)
The probabilities of this events are:
p(like peas|male) = 42/100 = 42%
p(like peas∩male) = 42/200 = 21%
p(male) = 100/200 = 50%
Therefore, the events are dependent
In the Independent case the following relation must be satisfied:
p(a|b) = p(a)
or
p(like peas|male) = p(like peas)
p(like peas) = 78/200 = 39%
The equation is not satisfied.
to the nearest hundreth, what is the area of a circle with a radius of 5 units?
Answers
it's d, since the area of a circle is radius squared times pi
3.14×5^2= 78.4
Human body temperatures are normally distributed with a mean of 98.20°F and a standard deviation of 0.62°F. If 19 people are randomly selected, find the probability that their mean body temperature will be less than 98.50°F.
0.0833
0.4826
0.3343
0.9826
Answers
Final Answer:
The probability that the mean body temperature of a sample of 19 people will be less than 98.50°F is approximately 0.9826.
Explanation:
To find the probability that the mean body temperature of a sample of 19 people will be less than 98.50°F, we can use the Central Limit Theorem, which states that the sampling distribution of the sample mean will be normally distributed if the sample size is sufficiently large. In this case, we can assume a sample size of 19 is large enough.
Given:
- Population mean (μ) = 98.20°F
- Population standard deviation (σ) = 0.62°F
- Sample size (n) = 19
- Target sample mean (X) = 98.50°F
We need to do the following steps:
1. Calculate the standard error of the mean (SEM), which is the standard deviation of the sampling distribution of the sample mean.
SEM = σ / √n
2. Calculate the Z-score for the sample mean of 98.50°F. The Z-score represents how many standard errors the value is away from the population mean.
Z = (X - μ) / SEM
3. Use the Z-score to find the area to the left of it on the standard normal distribution, which represents the probability that the sample mean is less than 98.50°F.
Let's calculate each step:
1. Calculate SEM:
SEM = σ / √n
= 0.62 / √19
≈ 0.62 / 4.3589
≈ 0.1422
2. Calculate Z-score:
Z = (X - μ) / SEM
= (98.50 - 98.20) / 0.1422
≈ 0.30 / 0.1422
≈ 2.1095
3. Lastly, to find the probability that the sample mean is less than 98.50°F, we look up the Z-score in the standard normal distribution table (Z-table), use statistical software, or a calculator that provides the cumulative distribution function (CDF) for the normal distribution.
A Z-score of 2.1095 corresponds to a probability of about 0.9826 (using Z-table or a calculator).
Therefore, the probability that the mean body temperature of a sample of 19 people will be less than 98.50°F is approximately 0.9826.
Among the options given, the closest to 0.9826 is 0.9826 itself. Hence, that is the correct answer.
Select the correct answer from the drop-down menu.
The graph shows a proportional relationship between the distance a car travels and the fuel it consumes.
Answers
Answer:
2.5 gallons
Step-by-step explanation:
We need to go 100 miles
Write the proportion
Picking a point on the graph (40 miles, 1 gallon)
100 miles 40 miles
-------------- = -------------
x gallons 1 gallon
Using cross products
100 * 1 = 40 *x
Divide each side by 40
100/40 = 40x/4
2.5 =x
We need 2.5 gallons to go 100 miles
Answer: Based on the graph, the car requires 2.5 gallons of fuel to travel 100 miles.
Look at the picture below for help. The blue dot represents were the two points meet. We are trying to figure out how many gallons are for the 100 miles, 100 miles would be on the side that says distance (miles). That is were you start. Find point 100 on the distance (miles) side and just draw a straight line, stopping when you hit the black line on the graph. Once done, draw another line going straight down from the black line, and you get your answer of 2.5
Answer: 2.5
Hope it helps!
Which of the following is not a way to represent the solution of the inequality 7 − 9x − (x + 12) less than or equal to 25?
A) x greater than or equal to −3
B) x less than or equal to −3
C) −3 less than or equal to x
D) A number line with a closed circle on negative 3 and shading to the right
Answers
Answer:
A) x greater than or equal to −3
Step-by-step explanation:
We have the following inequality:
7 − 9x − (x + 12) ≤ 25
Solving the inequation, we have:
7 − 9x − x - 12 ≤ 25
-10x ≤ 30
-x ≤ 3
x≥-3
Therefore the result is option A) x greater than or equal to −3
Answer:
B.
Step-by-step explanation:
7-9x - (x+12) ≤ 25
7 - 9x - x - 12 ≤ 25
-10x - 5 ≤ 25
-10x ≤ 25 +5
x ≥ 30/-10
x ≥ -3.
So, the incorrect answer is B.
The graph of which equation has a slope of 4?
(1) y = 4x -3 (3) y = -4x + 3
(2) y = 3x - 4 (4) y=-3x + 4
Please help :( I don’t get it
Answers
Answer:
(1)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
We are looking for an equation of the form
y = 4x ± c ( since slope m = 4)
The only equation which fits the description is
y = 4x - 3 → (1)
Rosalie takes the bus everyday to school. The ride is 8 minutes long. If she goes to school for 176 days, how many minutes does she spend on the school bus?
Answers
Answer:
1408 min.
Step-by-step explanation:
8 × 176 = 1408.
Answer:
1408
Step-by-step explanation:
3. Name the plane shown in the figure.
A. Plane GDH
B. Plane FCF
C. Pane EGF
D. Pane ACS
Answers
the name of the plane is C. plane EGF
The data set below has 7 values. Find the mean absolute deviation for the data set. If necessary, round your answer to the nearest hundredth. 12, 17, 16, 9, 18, 10, 9
Answers
Final answer:
To find the mean absolute deviation (MAD) for the data set, calculate the mean, subtract it from each data value to find deviations, take the absolute values, and then find their mean. The MAD for the data set 12, 17, 16, 9, 18, 10, 9 is approximately 3.43.
Explanation:
To find the mean absolute deviation (MAD) for a given data set, we follow these steps:
Calculate the mean (average) of the data set.
Subtract the mean from each data value to find the deviations.
Take the absolute value of each deviation.
Find the average of these absolute values to determine the MAD.
The data set provided is: 12, 17, 16, 9, 18, 10, 9. First, let's calculate the mean:
(12 + 17 + 16 + 9 + 18 + 10 + 9) / 7 = 91 / 7 = 13
Next, we'll find the absolute deviations from the mean:
|12 - 13| = 1
|17 - 13| = 4
|16 - 13| = 3
|9 - 13| = 4
|18 - 13| = 5
|10 - 13| = 3
|9 - 13| = 4
Lastly, we calculate the mean of these absolute values:
(1 + 4 + 3 + 4 + 5 + 3 + 4) / 7 = 24 / 7 ≈ 3.43
The mean absolute deviation of the data set is approximately 3.43.
Final answer:
The mean absolute deviation of the data set is calculated by finding the mean, determining the absolute deviation of each value from the mean, and then taking the mean of those deviations. For this set, the mean absolute deviation is 3.43.
Explanation:
To find the mean absolute deviation, we follow these steps:
Calculate the mean (average) of the data set.
Find the absolute deviation of each data point from the mean (absolute value of the difference).
Find the mean (average) of these absolute deviations.
First, we calculate the mean of the data set: (12 + 17 + 16 + 9 + 18 + 10 + 9) ÷ 7 = 91 ÷ 7 = 13.
Next, we find the absolute deviation of each data point from the mean:
|12 - 13| = 1
|17 - 13| = 4
|16 - 13| = 3
|9 - 13| = 4
|18 - 13| = 5
|10 - 13| = 3
|9 - 13| = 4
Add these absolute deviations: 1 + 4 + 3 + 4 + 5 + 3 + 4 = 24.
Finally, we find the mean of these absolute deviations: 24 ÷ 7 = 3.43 (rounded to the nearest hundredth).
The mean absolute deviation for the data set is 3.43.
The height of a particular triangle equals its base length. A new triangle is formed by dividing the hype by 2 and its area is 36 in^2 less than the area of the triangle. what are the height and base lengths of original triangle?
Answers
Answer:
Height and base are both 12 in
Step-by-step explanation:
Formula area triangle: area = (height * base) /2
Since for the first triangle height and base are the same we will call is x.
The area for the first triangle is
area = (x^2) /2 = 0.5x^2
The new triangle area is
first triangle - 36 = ((x/2) * x)/2
0,5x^2 - 36 = (0,5x * x)/2
0,5x^2 - 36 = (0,5x^2)/2
0,5x^2 - 36 = 0,25x^2
0,25x^2 = 36
x^2 = 144
X = square root (144) = 12 in
PLEASE ANSWER THIS QUESTION ✔✔
REMEMBER I ADD BRAINLIST AND I UPVOTE ANSWER
Answers
Answer:
Its 7.7, 7, 0.6, -0.7
Suppose that a company's annual sales were $1,200,000 in 1999. The annual growth rate of sales from 1999 to 2000 was 16 percent, from 2000 to 2001 it was −5 percent, and from 2001 to 2002 it was 22 percent.
The geometric mean growth rate of sales over this three-year period is calculated as 10.37 percent. Use the geometric mean growth rate and determine the forecasted sales for 2004.
Answers
Step-by-step explanation:
A = P (1 + r)^t
Given that P = $1,200,000, r = 0.1037, and t = 5:
A = $1,200,000 (1 + 0.1037)^5
A = $1,965,334.41
Round as needed.
Answer:
The forecasted sales for 2004 is $1965281.
Step-by-step explanation:
The annual sales in 1999 were = $1,200,000
Let geometric mean growth rate = r
we have now p = $1,200,000,
r = 10.37% or 0.1037
t = 5:
We have the formula Amt= [tex]p(1+r)^{t}[/tex]
Amt =[tex]1200000(1+0.1037)^{5}[/tex]
Solving this we get;
[tex]1200000\times1.63777=1965324[/tex]
A = $1,965,324
What is the exponential form of the following expression
(-5)(-5)(-5) •c•c•c
Answers
The expression will be [tex]\[ (-125) \cdot c^3 \][/tex]
The exponential form of the expression [tex]\((-5)(-5)(-5) \cdot c \cdot c \cdot c\)[/tex] can be calculated as follows:
First, simplify the multiplication of the negative numbers:
[tex]\[ (-5)(-5)(-5) = (-125) \][/tex]
Next, simplify the multiplication of the variables:
[tex]\[ c \cdot c \cdot c = c^3 \][/tex]
Now, combine the results:
[tex]\[ (-125) \cdot c^3 \][/tex]
The final exponential form of the expression is:
[tex]\[ (-125) \cdot c^3 \][/tex]
Here's a step-by-step explanation of the calculation:
1. Multiply the negative numbers:
[tex]\[ (-5)(-5) = 25 \][/tex]
Multiply 25 by -5 again:
[tex]\[ 25 \cdot (-5) = -125 \][/tex]
2. Multiply the variables:
[tex]\[ c \cdot c = c^2 \]\\ Multiply \(c^2\) by c again:\\ \[ c^2 \cdot c = c^3 \][/tex]
3. Combine the results:
[tex]\[ (-125) \cdot c^3 \][/tex]
That's the final exponential form of the given expression.
Complete Question:
What is the exponential form of the following expression
(-5)(-5)(-5) •c•c•c
Find the volume of the composite solid
Answers
Answer:
[tex]\large\boxed{V=(157.5+27.648\pi)\ yd^3}[/tex]
Step-by-step explanation:
We have the rectangular prism and the cone.
The formula of a volume of
1) a rectangular prism
[tex]V=lwh[/tex]
l - length
w - width
h - height
2) a cone
[tex]V=\dfrac{1}{3}\pi r^2H[/tex]
r - radius
H - height
We have:
1)
l = 7yd, w = 5yd, h = 4.5yd
Substitute:
[tex]V_R=(7)(5)(4.5)=157.5\ yd^3[/tex]
2)
r = 4.8yd, l = 6yd
l - slant height
Use the Pythagorean theorem to calculate H :
[tex]H^2+r^2=l^2[/tex]
Substitute:
[tex]H^2+4.8^2=6^2[/tex]
[tex]H^2+23.04=36[/tex] subtract 23.04 from both sides
[tex]H^2=12.96\to H=\sqrt{12.96}\\\\H=3.6\ yd[/tex]
Calculate the volume:
[tex]V_C=\dfrac{1}{3}\pi(4.8)^2(3.6)=\dfrac{82.944}{3}\pi=27.648\pi\ yd^3[/tex]
The volume of the composite solid:
[tex]V=V_R+V_C[/tex]
Substitute:
[tex]V=(157.5+27.648\pi)\ yd^3[/tex]
17:44
What is the common ratio of the sequence?
-2, 6, -18,54
OOOO
Mark this and retum
Save and Exit
Next
Submit
Answers
Answer:
The common ratio is -3
Step-by-step explanation:
we know that
In a Geometric Sequence each term is found by multiplying the previous term by a constant called the common ratio
In this problem we have
-2,6,-18,54...
Let
a1=-2, a2=6,a3=-18,a4=54
a2/a1=6/-2=-3
a3/a2=-18/6=-3
a4/a3=54/-18=-3
Each term (except the first term) is found by multiplying the previous term by -3
therefore
we have a geometric sequence and the common ratio is -3
#2 and please provide explaination !
Answers
Answer:
Total overripe fruit = 48
Step-by-step explanation:
Step 1: Assume the value of oranges
Let oranges be x
Oranges = x
Apples = 32 + x
Overripe oranges = 3/5 of oranges
= 3x/5
Overripe apples = 1/3 of apples
= 1/3 (32 + x)
Step 2: Find x (oranges)
Number of overripe apples and number or overripe oranges are equal.
3x/5 = 1/3 (32 + x)
3 (3x) = 5(32 + x)
9x = 160 + 5x
4x = 160
x = 40
Step 3: Find the total number of overripe fruit.
Total overripe fruit = Overripe apples + Overripe oranges
Total overripe fruit = 1/3 (32 + x) + 3x/5
Total overripe fruit = 1/3 (32 + 40) + 3(40)/5
Total overripe fruit = 24 + 24
Total overripe fruit = 48
!!
Please answer this correctly
Answers
Answer:
1) 0.0008306
2) 0.00008306
3) 0.000008306
4) 0.0000008306
Step-by-step explanation:
Please mark me the brainliest... . I am sure the answers are correct.
Answer:
0.0008306
0.00008306
0.000008306
0.0000008306
Step-by-step explanation:
0.008306 ÷ 10 = 0.0008306
0.008306 ÷ 100 = 0.00008306
0.008306 ÷ 1000 = 0.000008306
0.008306 ÷ 10000 = 0.0000008306
What is 1/2 divided by 3?
Answers
Answer:
1/6
Step-by-step explanation:
(1/2)/3
To solve, note that there are 2 denominators in all. To solve, multiply the denominators together:
(1/2)/3 = 1/(2 * 3) = 1/6
1/6 is your answer.
~
Answer:
0.16
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact form: 1/6
Decimal form: 0.16
What are the measures of angles 1 and 2?
m<1 =
m<2=
Answers
Answer:
m∠1 = 50°
m∠2 = 130°
Step-by-step explanation:
The measure of the angle formed by 2 chords that intersect inside the circle is 1/2 the sum of the chords' intercepted arcs.
m∠1 = (53+47)/2 = 50°
m∠1 + m∠2 = 180° ⇒ m∠2 = 180 - m∠1 = 180 - 50 = 130°
The measure of angle 2 (θ2) is given as 312°. To determine the measure of angle 1 (θ1), additional information or context is needed as it is not provided directly in the question or accompanying information.
Explanation:The question seems to be about finding the measures of angles angle 1 (θ1) and angle 2 (θ2) in a physics context, possibly related to momentum or forces. Given that Ø2 is provided as 312°, we can infer that this is the measurement of angle 2 (θ2). This angle is said to be in the fourth quadrant, which is consistent with the positive counterclockwise definition of angle measurement. For the measure of angle 1 (θ1), there's not enough direct information provided in the question or the reference information to determine its measure. More context or additional data would be necessary to solve for θ1. If the scenario is about a momentum conservation problem, the relationship between angles might be set by the conservation laws for linear momentum in the x and y directions. However, without additional information or clarification from the student's initial query, we would only be speculating on the measure of θ1.
Examine the equation: 4x = 2 − y Which equation represents the equivalent equation in slope-intercept form?
y = –4x + 2
y = –4x - 2
x = 2 - 4y
x = 8 - 4y
Answers
Answer:
[tex]y=-4x+2[/tex]
Step-by-step explanation:
Since, the slope intercept form of a line is,
[tex]y=mx+c[/tex]
Here, the given equation is,
[tex]4x=2-y[/tex]
[tex]4x+y=2[/tex] ( Additive property of equality )
[tex]y=-4x+2[/tex] ( Subtraction property of equality )
Hence, the equation that represents the equivalent equation of the given equation in slope-intercept form is,
[tex]y=-4x+2[/tex]
First option is correct.
Answer:
Step-by-step explanation:
Obtenha o conjunto das soluçoes racionais de cada sistema:
(a) {x+y=4
{x-y=1
Answers
Answer:
(5/2 , 3/2)
or
(2.5 , 1.5)
(These are the same point; just one is in fraction form and the other in decimal)
Step-by-step explanation:
I could be wrong but I think you want to solve the system
x+y=4
x-y=1
The cool thing about this system it is already set up for elimination (some people call it linear combination). This means when you add the equations together, a variable will get eliminated allowing you to solve for the other.
x+y=4
x-y=1
----------Add equations.
2x+0=5
2x =5
x =5/2
x =2.5
So plug in your x into either one of the equations and solve for y.
x+y=4
2.5+y=4
y=4-2.5
y=1.5
So the solution is (2.5 , 1.5) or (5/2, 3/2).