Answer:
5x + y - 4 = 0
Step-by-step explanation:
When we are given two points and are asked to find the equation of the line we use the two - point form.
Two - point form: [tex]$ \frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1} $[/tex].
where: [tex]$ (x_1,y_1) $[/tex] and [tex]$ (x_2,y_2) $[/tex] are the two points on the line.
Given the two points are: (5,21) and (-5,-29).
Substituting in the two point form:
⇒ [tex]$ \frac{y - 21}{-29 - 21} = \frac{x - 5}{-5 -5} $[/tex]
[tex]$ \implies \frac{y - 21}{-50} = \frac{x - 5}{-10} $[/tex]
[tex]$ \implies y - 21 = 5x - 25 $[/tex]
⇒ 5x + y - 4 = 0
What is y+1=5/6(x-2) in standard form?
How do you find the unit rate of 72/12
Answer:
6 : 1Step-by-step explanation:
[tex]\dfrac{72}{12}=\dfrac{72:12}{12:12}=\dfrac{6}{1}=6:1[/tex]
✓-2x = x please solve
Answer:
the sign =3x
Step-by-step explanation:
you just need to do the step
sign-2x+2x=x+2x
sign=3x
The quadrilateral shown is a rectangle. What is the measure of PR? (round to the nearest hundredth) A) 34.06 B) 37.12 C) 40.24 D) 43. 36
Answer: OPTION B.
Step-by-step explanation:
The missing figure is attached.
For this exercise you need to use the Pythagorean Theorem. This is:
[tex]a^2=b^2+c^2[/tex]
Where "a" is the hypotenuse and "b" and "c" are the legs of the triangle.
In this case you can identify in the figure the triangle PRS, so the diagonal PR is the hypotenuse of the triangle PRS.
Then you can say that:
[tex]a=PR\\b=PS=17\\c=RS=33[/tex]
Therefore, knowing these values, you can substitute them into [tex]a^2=b^2+c^2[/tex]:
[tex]PR^2=17^2+33^2[/tex]
Finally you must solve for PR in order to find its value. This is:
[tex]PR=\sqrt{17^2+33^2}\\\\PR=37.12[/tex]
The measure of a side is the length it possess. The measure of PR for the given rectangle is given by: Option B: 37.12 units.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
For the given case, we can use the fact that opposite side of a rectangle are of same length, and one more fact that all the adjacent side pairs of a rectangle are perpendicular to each other(means the minor angle between them is of 90 degrees).
The question is missing the figure, which is attached below.
Since PQRS is a rectangle, thus, we have:
|PS| = |QR| = 17 units
|PQ| = |RS| = 33 units
Thus, for the triangle PSR, as angle S internally is of 90 degrees, we can use Pythagoras theorem.
From Pythagoras theorem for PSR, where PR is hypotenuse, we get:
[tex]|PR|^2 = |PS|^2 + |SR|^2\\\\|PR| = \sqrt{17^2 + 33^2} = \sqrt{1378} \approx 37.12[/tex] units.
(positive root was taken as length is a non-negative quantity).
Thus, the measure of PR for the given rectangle is given by: Option B: 37.12 units.
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which is larger 7.325 or 6.425?
Answer:
7.325 is larger
Step-by-step explanation:
7.325 is larger becuse 7 is a bigger number than 6 and the decimal point is in the same place so 7.325 will be larger
Answer: 7.325
Step-by-step explanation: 7.325 is larger than 6.425 because it is more positive than the other number. You can see this by looking at a number chart.
Hope this helps, have a BLESSED and wonderful day! :-)
Find all numbers whose absolute value is -9.
Answer:
None
Step-by-step explanation:
A number's absolute value will always be positive
|9| = 9
|-9| = 9
Answer:
Step-by-step explanation:
none
please solve with working thankyou
Answer:
m∠y=72°
Step-by-step explanation:
The question is
Find the measure of angle y
step 1
Find the measure of angle x
see the attached figure to better understand the problem
we know that
m∠x=67° -----> by corresponding angles
step 2
Find the measure of angle y
we know that
(m∠x+m∠y)+42°=180° -----> because form a straight line
substitute the measure of angle x
67°+m∠y+42°=180
m∠y+108°=180
m∠y=180°-108°
m∠y=72°
Which of the following expressions are equivalent to (9 7/8 + 2 4/5) - 1/2
Answer:
A and B
Step-by-step explanation:
C) 9 7/8 - (- 2 4/5) - (- 1/2) =
= 9 7/8 + 2 4/5 + 1/2 (F)
D) - (- 9 7/8 + 2 4/5) - 1/2) =
= 9 7/8 - 2 4/5 - 1/2 (F)
E) 9 7/8 - (- 2 4/5 - 1/2) =
= - 7/8 + 2 4/5 + 1/2 (F)
Answer:
Step-by-step explanation:
Bc bhh
What is the reciprical of 200 and 450
Answer:
Part a) [tex]\frac{1}{200}[/tex]
Part b) [tex]\frac{1}{450}[/tex]
Step-by-step explanation:
we know that
A reciprocal of a rational number [tex]\frac{p}{q}[/tex] is obtained by changing the numerator and denominator, so the numerator becomes the denominator and the denominator becomes the numerator obtaining [tex]\frac{q}{p}[/tex]
Part a) we have
200
we know that
the given number can be expressed as [tex]\frac{200}{1}[/tex]
so
changing the numerator and denominator
The reciprocal is equal to [tex]\frac{1}{200}[/tex]
Part b) we have
450
we know that
the given number can be expressed as [tex]\frac{450}{1}[/tex]
so
changing the numerator and denominator
The reciprocal is equal to [tex]\frac{1}{450}[/tex]
For the following right triangle, find the side length x. Round your answer to the nearest hundredth. 11, 19
If the unknown is the hypotenuse...
Following pyth. theorem,
x^2=11^2+19^2
x=21.95
If the unknown is a leg other than the hypotenuse...
Following pyth. theorem,
x^2=19^2-11^2
x=15.49
Find the derivative of f(x).
f(x)=x3
Write your answer as a constant times a power of x.
Answer:
3x²
Step-by-step explanation:
[tex]\frac{d}{dx}[/tex](x³)
Apply the power rule: [tex]\frac{d}{dx}[/tex](x^a) = a * x^(a - 1):
3 * x^(3 - 1)
Simplify:
3x²
Which describes how to find the solution 5k >22
Answer:
k > 4.4Step-by-step explanation:
[tex]5k>22\qquad\text{divide both sides by 5}\\\\\dfrac{5k}{5}>\dfrac{22}{5}\\\\k>4\dfrac{2}{5}\to k>4.4\to k\in(4.4,\ \infty)[/tex]
please help i dont understand this but what is 32% of 4??
Answer:
1.28
Step-by-step explanation:
I used calculator give me brainlist
Answer:
1.28
Step-by-step explanation:
so 32% is equal to .32 and you can imagine that the word "of" means x(as in multiply). Thus said .32 x 4 is 1.28
927 rounded to the hundred
Answer:
900
Step-by-step explanation:
2 rounds it down
Answer:
900
Step-by-step explanation
900←927→1000
927-900=27
1000-900=100
5. The parts that are added or subtracted in an algebraic
expression are called?
Answer:
They are known as terms in algebraic expression
Step-by-step explanation:
much would a new iPhone 7 cost if it is $649.00 and there is a 7%
tax rate?
a) $45.43
b) $694.43
C) $649.07
d) $649.43
Answer: A
Step-by-step explanation:
A car dealership creates an expression to model the value of a new car t years after it is
purchased. If the value of the car is P(0.88)', where P is the purchase price,
which statement is true?
The value of the car decreases by 12% each year.
The value of the car decreases by 88% each year.
O
The value of the car increases by 12% each year.
The value of the car increases by 88% each year.
Calculator
Answer:
The value of car decreases by 12% each year.
Step-by-step explanation:
A car dealership creates an expression to model the value of a new car t years after it is purchased and the expression is [tex]P(0.88)^{t}[/tex] ..... (1)
Now, if the value of the car depreciates at a rate of r% each year, then the value of the car (Say, P) will be depreciated to the value
[tex]P' = P(1 - \frac{r}{100} )^{t}[/tex] ...... (2)
Now, comparing the expressions in (1) and (2), we get
[tex]1 - \frac{r}{100} = 0.88[/tex]
⇒ [tex]\frac{r}{100} = 0.12[/tex]
⇒ r = 12%.
Therefore, the value of the car decreases by 12% each year. (Answer)
Solve the equation:
5x-2=X+4
Answer: x = 1.5
Step-by-step explanation:
5x - 2 = x + 4
Add 2 to each side
5x = x + 6
Subtract x from each side
4x = 6
Divide each side by 4
x = 1.5
Answer:
x = 3/2
Step-by-step explanation:
5x-2=x+4 (add 2 to both sides)
5x=x+4 + 2
5x=x+6 (subtract x from both sides)
5x - x = 6
4x = 6 (divide both sides by 4)
x = 6/4 = 3/2
7m+12 over 8= 2m-1 over 3
Answer:
m=-44/5
Step-by-step explanation:
(7m+12)/8=(2m-1)/3
cross product
8(2m-1)=3(7m+12)
16m-8=21m+36
16m-21m-8=36
-5m-8=36
-5m=36+8
-5m=44
m=44/-5
m=-44/5
Please answer this correctly
Answer:
2
Step-by-step explanation:
Conversion factor: 1/8
1) Cup = Fluid Ounce / 8
2) Cup = 32 / 8
3) Cup = 4
Answer:
2
There are 4 cups in a 32 fl oz carton, so she needs to get 2 more.
At a competition with 6 runners, 2 medals are awarded for first and second
place
Each medal is different. How many ways are there to award the medals?
Answer:
30 ways
Step-by-step explanation:
The first medal can be awarded in 6 different ways since any of the runners could have it. Once the first medal is awarded, the second medal can only be given to any of the 5 runners available.
So there are 6x5=30 different ways to award the medals
There are 30 ways to award the medals to the winners
How to determine the number of ways?The given parameters are:
Runners = 6
Medals = 2
The first position can be awarded to any of the 6 runners, while the second position can be awarded to any of the remaining 5 runners
So, the number of ways is:
Ways = 6 * 5
Evaluate
Ways = 30
Hence, there are 30 ways to award the medals
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I don’t understand at ALL. If you could give answer then explain how or just give answer it would be really helpful!!
We can classify each number as:
0 = ones place
8 = tenths place
7 = hundredths place
3 = thousandths place
Now that we know that 7 is in the hundredths place we can write this as: 7/100 (0.07)
_______
Best Regards,
Wolfyy :)
Combine like terms to simplify the expression: 9 + 3b − 1 + 7b − 2 =
Answer:
6+10b
Step-by-step explanation:
Which of the following are equivalent ratios?
A: 12 : 16
B: 3 : 5
C: 2 : 3
D: 6 : 8
The equivalent ratios are A and D.
Here's an explanation:
When you look at D, you see that 12 is a multiple of 6, and 16 is a multiple of 8. So you know that it looks like they're equivalent. Then you test it out, 12/2=6. 16/2=8. so 12:16 = 6:8. Eyeballing it first can save time sometimes.
In which of these is the original price highest:
(A) after a 5% discount, the price was $190 (B) after a 10% discount, the price was $180 (C) after a 20% discount, the price was $170 (D) after a 30% discount, the price was $140
Answer:
c
Step-by-step explanation:
turn the percent into a decimal and × by the number you get that number that the percent represents in the number add it to the number and you get the original price
The price which is highest is Option C)
After a 20% discount, the price was $170
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
A)
After a 5 % discount , the price was $ 190
So , the percentage is calculated as
190 / 0.95 = $ 200
B)
After a 10 % discount , the price was $ 180
So , the percentage is calculated as
180 / 0.90 = $ 200
C)
After a 20 % discount , the price was $ 170
So , the percentage is calculated as
170 / 0.80 = $ 212.50
D)
After a 30 % discount , the price was $ 140
So , the percentage is calculated as
140 / 0.70 = $ 200
Therefore , the price $ 212.50 is the highest
Hence , the solution , after a 20% discount, the price was $170 is the highest
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what is the answer to 7(3+x+4)
What is the y and c intercepts of the linear equation
4.) y=-5x+10
Answer:
x-intercept is 2, y-intercept is 10.
Step-by-step explanation:
y=-5x+10
y=mx+b
-------------
m=-5 which means that the slope of this equation is -5.
And to find the y-intercept,
plug in x=0 into the equation and find out the value of y.
y=-5(0)+10=0+10=10
So the y-intercept is 10.
And to find the x-intercept,
plug in y=0 into the equation and find out the value of x.
0=-5x+10
-5x=0-10
-5x=-10
5x=10
x=10/5=2
So the x-intercept is 2.
Keegan rides the bus 4 miles to school in the morning, and 4 miles home from. school in the afternoon. How many miles does Keegan ride the bus in 5 days?
Final answer:
Keegan rides 8 miles per day going to and from school. Over the course of 5 days, he rides a total of 40 miles on the bus.
Explanation:
The question asks how many miles Keegan rides the bus in 5 days if he travels 4 miles to school and 4 miles home each day. To solve this, we can multiply the daily round trip distance by the number of school days in a week. Keegan travels 8 miles per day (4 miles to school and 4 miles back home). So, in 5 days, Keegan will have traveled:
8 miles/day imes 5 days = 40 miles
Therefore, Keegan rides the bus 40 miles in 5 days.
which graph represents a function?
Answer:
Graph C) represents a function.
Step-by-step explanation:
Graph C) is the only graph that passes the vertical line test, a way to determine if a graph is a function. All other graphs do not pass the vertical line test. The vertical line test states that if a vertical line drawn intersects the graph of the relation more than once, then the relation is a NOT a function.
The function is indeed a relationship that has only one outcome for each input value (x-value) and output value (y-value). As a result, all functions could be regarded as relationships. However, not all relations are functions because not all of them satisfy the criterion, so each unique input generates just one output.
The third option seems to be the only graph in the present situation that satisfies the vertical line test and determines if a graph is a function. The vertical line test fails on all other graphs. According to the diagonal line test, if a vertical line drawn over the graph of a relation meets it again, the relation is not a function.Therefore, the final answer is "Option C".
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help me I will make you brainlest