Answer:
y - 1 = -4(x+3)
Step-by-step explanation:
We will use the point slope form of a line
y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point
y - 1 = -4(x--3)
y - 1 = -4(x+3)
Mrs. Smith gives the students in her geometry class the following conditional statement:
"If A, B, and C are collinear, then they lie on the same line."
Bob says that the inverse of the is statement is not true. What is the inverse of this statement? Is Bob correct?
Justify your answer.
Answer:
The inverse of the statement is, " If A, B, C are not collinear, then they do not lie on the same line." Bob is not correct. The inverse statement is true. For any points to be collinear, they have to be one the same line. If these points are not collinear, it means they do not lie on the same line.
Step-by-step explanation:
The inverse of the statement is "If A, B, and C do not lie on the same line, then they are not collinear," which is logically true based on the definition of collinear points. Bob's claim that the inverse is not true requires clarification; without it, he is incorrect.
Explanation:The inverse of the conditional statement "If A, B, and C are collinear, then they lie on the same line" is "If A, B, and C do not lie on the same line, then they are not collinear". When we discuss the inverse of a statement, we negate both the hypothesis and the conclusion of the original statement. In the given statement, collinear implies that the points lie on the same straight line. Hence, if they do not lie on the same line, logically they would not be collinear.
Bob's claim that the inverse of this statement is not true requires justification, as the truth of a statement's inverse is not necessarily linked to the truth of the original statement. However, in this particular case, the inverse does happen to be a logically true statement, because it is consistent with the definition of collinear points. If points don't lie on the same straight line, by definition, they cannot be collinear. So, if Bob is asserting that the inverse is always false without any context, Bob is incorrect.
It is important to note that this is a logical interpretation based on the definitions involved and is how geometric properties are understood. The truth of the inverse of the conditional is not dependent on the truth of the original statement but instead on the definitions of the terms used.
(Circles) What is the circumference of this circle, rounded to the nearest
tenth? Use 3.14 for Th.
1 point
The radius of the dirde is 6 inches
15.4 inches
18.8 inches
OOOO
37.7 inches
113.0 inches
Answer:
37.7 inches
Step-by-step explanation:
[tex]C = 2\pi r = 2 \times 3.14 \times 6 = 37.68 \\ \\ \huge \: C \approx37.7 \: inches[/tex]
solve for x.
2(x+6)=18
show how you got the answer
Answer: x=3
Step-by-step explanation:
2 times (x)= 2x + 6 = 18 (equation) Then you multiply the 2 • 6 = (12) then subtract the 18-12 and you get 6 then you go back to the 2x and think what would (x) have to be for me to get the answer (6) then you think 2x3 = 6 then you get your answer of (3)
I hope this works for you bc this was the way I was taught.
PLEASE HELP WILL MARK BRAINLIEST choose the ordered pair that is NOT the solution for these equations.
x + y = 12
y = 12 - x
A-15,1
B 0,12
C 1,11
Answer:
The answer is A)
Step-by-step explanation:
A)-15+1=14
B)0+12=12
C)1+11=12
A square pyramid. The square base has side lengths of 6 inches. The 4 triangular sides have a base of 6 inches and height of 9 inches.
Complete the sentences.
The area of the pyramid’s base is in.2.
The pyramid has lateral faces.
The surface area of each lateral face is in.2.
The total surface area is 144 in.2.
Answer:
The area of the pyramid’s base is 36 in².
The pyramid has 4 lateral faces.
The surface area of each lateral face is 27 in².
Step-by-step explanation:
"Lateral" means side, so the lateral faces are triangles.
The base is the bottom, which is a square.
To calculate the area of the base, use the formula for area of a square.
[tex]A_{base} = s^{2}[/tex]
[tex]A_{base} = (6 in)^{2}[/tex]
[tex]A_{base} = 36 in^{2}[/tex]
To calculate the area of a lateral face, find the area of a triangle.
[tex]A_{lateral} = \frac{bh}{2}[/tex]
[tex]A_{lateral} = \frac{(6 in)(9 in)}{2}[/tex]
[tex]A_{lateral} = \frac{54 in^{2}}{2}[/tex]
[tex]A_{lateral} = 27 in^{2}[/tex]
In a pyramid, the number of lateral faces is the same as the number of sides in the base. The square base as 4 sides, so there are 4 lateral faces.
The area of the pyramid's base is 36 square inches. The pyramid has 4 lateral faces, each with a surface area of 27 square inches. The total surface area is 144 square inches.
Area of the Base :
The base of the pyramid is a square with side lengths of 6 inches. To find the area of the square base:Area = side × side = 6 inches × 6 inches = 36 square inchesLateral Faces :
The pyramid has 4 triangular lateral faces.Surface Area of Each Lateral Face :
The base of each triangular face is 6 inches, and the height is 9 inches. To find the area of one triangular face, use the formula:Area = 1/2 × base × height = 1/2 × 6 inches × 9 inches = 27 square inchesTotal Surface Area :
The total surface area of the pyramid is the sum of the area of the base and the areas of the 4 triangular faces:Total Surface Area = Area of the base + 4 × Area of each triangular faceTotal Surface Area = 36 square inches + 4 × 27 square inches = 36 square inches + 108 square inches = 144 square inchesTherefore, area of the pyramid's base is 36 square inches, the pyramid has 4 lateral faces, each with a surface area of 27 square inches and the total surface area is 144 square inches.
Choose the equation that is equivalent to this statement: x is 25% 25 % of 300
Answer: 25% of 300 is x x is 75
Step-by-step explanation:
The Booneville History Museum had 25,000 visitors in 1980. The number of visitors has decreased by 2.5% each
year since 1980 Wien
year since 1980. Write a function (t) to represent the number of visitors to the Booneville History Museumt
years after 1980.
A-v(t) = 25000(0.025)
B -v(t) = 25000(0.25)
C-v(t) = 25000(0.975)
D-v(t) = 25000(1.025)
Answer:
Option c: -v(t) = 25000(0.975)
Step-by-step explanation:
Kindly check the attached file for explanation
To represent the number of visitors to the Booneville History Museum t years after 1980, the correct function is D-v(t) = 25000(1.025).
Explanation:To represent the number of visitors to the Booneville History Museum t years after 1980, we can use the formula v(t) = 25000(1 - 0.025)^t. This is because the number of visitors decreases by 2.5% each year. The term (1 - 0.025)^t represents the decay factor where t is the number of years after 1980.
Therefore, the correct function to represent the number of visitors to the Booneville History Museum t years after 1980 is D-v(t) = 25000(1.025).
if a number is divided by negative two, the solution is negative sixteen
-2/n= -16
n divided 2= -16
-2 n= -16
n/-2= -16
To solve for n when divided by negative two equals negative sixteen (n/-2 = -16), we multiply both sides by -2 to isolate n, yielding n = 32.
Explanation:To find the value of n, we need to follow the rule of signs for division which states that when a positive number is divided by a negative number, the result is negative (and vice-versa). So to solve n divided by negative two equals negative sixteen (n/-2 = -16), we need to multiply both sides of the equation by -2 to isolate n. The multiplication of -2 (a negative number) with -16 (also a negative number) will result in a positive outcome according to the multiplication rules for signs.
Step-by-step solution:
Start with the equation n/-2 = -16.Multiply both sides by -2 to get n = -16 × (-2).Calculating -16 multiplied by -2 according to rule number 6 gives us n = 32.Therefore, the value of n is 32.
Learn more about solving equations here:https://brainly.com/question/17595716
#SPJ2
What is the scientific notation for 96,470,000
Answer:
9.647×10^7
Step-by-step explanation:
The decimal is moving to the left so the 7 is positive.
Simplify the expression. Write your answer as a power.
(−5/7)^8⋅(−5/7)^9
The expression [tex](-5/7)^8*(-5/7)^9[/tex] simplifies to [tex](-5/7)^{17[/tex] by adding the exponents, as multiplication of powers with the same base results in adding the exponents.
To simplify the expression [tex]\((-5/7)^8 \cdot (-5/7)^9\)[/tex], you can add the exponents since the bases are the same. When you multiply two powers with the same base, you add their exponents. So, [tex]\(8 + 9 = 17\)[/tex]. Therefore, the expression simplifies to [tex]\((-5/7)^{17}\)[/tex]. When multiplying powers with the same base, like [tex]\((-5/7)^8\)[/tex] and [tex]\((-5/7)^9\)[/tex], you add their exponents. So, [tex]\(8 + 9 = 17\)[/tex].
This means that when you multiply these two expressions together, you end up with the base raised to the power of 17, which is [tex]\((-5/7)^{17}\)[/tex]. This is a fundamental property of exponents, where you can combine like terms to simplify expressions. In this case, the final expression represents the product of the two original expressions raised to the power of 17.
So, the simplified expression is [tex]$(-5 / 7)^{17}$[/tex]
To simplify the expression [tex]$(-5 / 7)^8 \cdot(-5 / 7)^9$[/tex] we can combine the bases and add the exponents since they have the same base:
[tex]$\begin{gathered}(-5 / 7)^8 \cdot(-5 / 7)^9=(-5 / 7)^{8+9} \\ =(-5 / 7)^{17}\end{gathered}$[/tex]
So, the simplified expression is [tex]$(-5 / 7)^{17}$[/tex]
find the area pls and ty
Answer:
28.5 units squared
Step-by-step explanation:
8x3 is the bottom rectangle and added 3x3x0.5 cuz it is a triangle. Add the areas and u get 4.5+24 or 28.5 units squared
6. Rectangle ABCD is shown above. AB =
3x+8, and CD = 2x+13. Find x.
Answer:
x=5
Step-by-step explanation:
3x+8=2x+13
x+8=13
x=5
WHAT IS BAC
a.50
b.80
c.100
d.130
Hello! Your answer is D. 130. I hope this helps and I hope that you have a nice day!
~Mika
Four students drew graphs of a linear function. Which student drew a line with a slope of 3?
Analise
On a coordinate plane, a line goes through points (negative 3, 0) and (0, 1).
Benito
On a coordinate plane, a line goes through points (0, negative 1) and (1, 2).
Charlie
On a coordinate plane, a line goes through points (0, negative 3) and (0, 3).
Dariya
On a coordinate plane, a line goes through points (2, 3) and (3, 0).
Analise
Benito
Charlie
Dariya
Answer:
the answer is benito or 2
Step-by-step explanation:
Answer:
benito
Step-by-step explanation:
100% edge 2020! :)))
Tam has $16.58 in her bank account. She spends $4.69 on school supplies and deposits $5.00. What is her new balance?
Hope this will help u....
Answer:
$6.89
Step-by-step explanation:
Since she spent $4.69 and $5
She has the total amount of$16.58
So let's solve
4.69+5
9.69
So the amount spent will be deducted from the total amount in her account
16.58-9.69
6.89
So the amount left is $6.89
The diameter of a semicircle is 2 yards. What is the semicircle's perimeter?
Use 3.14 for pie
The perimeter of a semicircle with a diameter of 2 yards is 5.14 yards when using 3.14 for pi.
Explanation:To calculate the perimeter of a semicircle with a diameter of 2 yards, we first need to find the radius, which is half of the diameter. Therefore, the radius (r) is 1 yard. Using the value of pi (π) as 3.14, the formula for the perimeter (P) of a semicircle is P = πr + 2r, where πr is the length of the semicircle's curved edge and 2r is the length of the diameter.
Plugging the radius into the formula, we get P = 3.14 × 1 yard + 2 × 1 yard. Simplifying this, we find P = 3.14 yards + 2 yards, which equals to 5.14 yards. Therefore, the perimeter of the semicircle is 5.14 yards.
Final answer:
The perimeter of a semicircle with a diameter of 2 yards is 5.14 yards, calculated by taking half the circumference of a full circle and adding the diameter.
Explanation:
To calculate the perimeter of a semicircle with a given diameter of 2 yards, we need to consider both the straight edge of the diameter and the curved edge of the semicircle.
The formula for the perimeter (P) of a full circle is P = πd, where π (pi) is approximately 3.14 and d is the diameter. Since we have a semicircle, we will take half of the circumference of the full circle and then add the diameter. So, the formula for the perimeter of the semicircle (P_semicircle) will be:
P_semicircle = (πd)/2 + d.
Let's plug in the values:
P_semicircle = (3.14 × 2 yards)/2 + 2 yards
P_semicircle = 3.14 yards + 2 yards
P_semicircle = 5.14 yards.
The perimeter of the semicircle is 5.14 yards.
Which Point has an x-coordinate of 4?
Answer:
s has an x-coordinate of 4
Step-by-step explanation:
the coordinate is (4,-5)
The cylinder diameter and height both is 39.2 millimeters what is the volume
Answer:
v=23160.24
Step-by-step explanation:
v= r^2 * h * π
19.6 ^2 = 384.16 r = d/2
384.16 * 19.2 * 3.14 39.2 / 2 = 19.6
23160.24
Hope this isn't too confusing!
What is the value of 3/4 divided by 2 1/2?
Answer:
=6/20
or 3/10
Step-by-step explanation:
3/4 ÷ 2 1/2
= 3/4 ÷5/2
using keep change flip
3/4 x 2/5
=6/20
or 3/10
Answer:
3/10
hope i helped
Miranda enlarged a picture twice as shown below, each time using a scale factor of 3.
A rectangle with length 6 inches and width 4 inches is enlarged twice.
Which statements apply to the enlargements? Select three options.
A.The area of the first enlargement is 72 square inches.
B.The area of the second enlargement is 1,944 square inches.
C.The area of the second enlargement is (3 squared) squared times the original area.
D.The area of the second enlargement is 3 times the area of the first enlargement.
E.The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor.
Answer:
B, C, E are true
Step-by-step explanation:
A = l*w
The original rectangle is 6 by 4 with A = 24
The 1st enlargement = 6*3 by 4*3
18 by 12 with A = 216
The second enlargement is 18*3 by 12*3
54 by36 with A =1944
A.The area of the first enlargement is 72 square inches.
False it is 216
B.The area of the second enlargement is 1,944 square inches.
True
C.The area of the second enlargement is (3 squared) squared times the original area.
216/24 =9 True
D.The area of the second enlargement is 3 times the area of the first enlargement.
1944/24 = 9 False
E.The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor.
The scale factor is 3 3^2 =9 216/24 =9
True
3.5x - 11 = 20.5 what does x equal?
Answer:
x=9
Step-by-step explanation:
3.5x - 11 = 20.5
Add 11 to each side
3.5x - 11+11 = 20.5+11
3.5x = 31.5
Divide each side by 3.5x
3.5x/3.5 = 31.5/3.5
x =9
Answer:
x=9 (don't look at explanation)
Step-by-step explanation:
Let's solve your equation step-by-step.
3.5x−11=20.5
Step 1: Add 11 to both sides.
3.5x−11+11=20.5+11
3.5x=31.5
Step 2: Divide both sides by 3.5.
3.5x
3.5
=
31.5
3.5
x=9
Answer:
x=9
Please help me with this :c
Will give TWENTY POINTS!!
Answer:
Area of a triangle formula is 1/2 x base x height
Area of the garden = 1/2 x 25 x 10 = 125 square feet.
1 bag covers 10 square feet, divide total area by 10"
125 / 10 = 12.5
She will need to buy 13 bags.
10. The dot plot shows how many games
10 members played last month.
True or false?
a) The mode is 5 games
b) The median is 5 games
Answer:
A : False
B : False
Step-by-step explanation:
A : The mode of a data set is whichever number comes up the most.
8 comes up the most times, so 8 is the mode.
B : The median is a number which is in the middle of a data set
This is the data set as a list of numbers :
2, 5, 5, 5, 6, 6, 8, 8, 8, 8
the two sixes are in the middle, if there are 2 numbers in the middle, add them together and divide by two,
6 + 6 = 12
12 / 2 = 6
6 is the median.
Final answer:
The question relates to data analysis in Mathematics, focusing on the mode and median within a data set, which cannot be determined without the provided figures. The median is the middle value in an ordered data set, while the mode is the most frequent value.
Explanation:
The subject of this question is Mathematics, specifically focusing on concepts related to data analysis such as mode, median, and box plots. Without the actual dot plot or box plot figures provided, we cannot verify the true or false nature of the statements provided. However, generally, the mode is the number that occurs most frequently in a data set, and the median is the middle number when the data set is ordered from least to greatest. To construct a box plot for a given data set, you would need to calculate the minimum, first quartile, median, third quartile, and maximum of the data. These five statistics are then used to create the box plot, which provides a visual representation of the data distribution.
When discussing the median in a box plot, it is the value that divides the data set into two equal halves. The mode in contrast, may or may not correspond to any of the box plot’s five statistical summaries; it entirely depends on the frequency of the individual values.
There are 39 counters in a bag.
14 of the counters are red.
The rest of the counters are blue,
One of the counters is taken at random.
What is probability that the counter is blue.
Answer:
There fore the probability that the counters are blue is [tex]\frac{15}{39}[/tex]
Step-by-step explanation:
There are a total of 14 red counters and 39 in total. The total of red counter can be represented as a fraction of [tex]\frac{14}{39}[/tex]. To find out the number of blue counter we subtract 14 from 39. This gives us 25. This is [tex]\frac{15}{39}[/tex]. Therefore the probability that the counters are blue is
Answer:
25/39
Step-by-step explanation:
The total is 39
Red=14
So to determine blue,it will be
39-14=25
So blue will be 25
So to determine the probability for picking blue
It will be
25/39
Since there's no common number that can divide the two
The final answer is 25/39
A honey bee flaps its wings at 220 flaps per second, a bumblebee flaps its wings at 145 flaps per second, and a mosquito flats its wings at 600 flaps per second. which insect wing pitch would be lowest to highest
Answer:
it would be
bumblebee
mosquito
honey bee
Step-by-step explanation:
The insect wing pitch from lowest to highest is mosquito (600 flaps per second), honey bee (220 flaps per second), and bumblebee (145 flaps per second).
Explanation:The insect wing pitch from lowest to highest would be as follows:
Mosquito: 600 flaps per secondHoney bee: 220 flaps per secondBumblebee: 145 flaps per secondThe mosquito has the highest wing pitch as it flaps its wings at 600 times per second, followed by the honey bee at 220 flaps per second, and the bumblebee at 145 flaps per second.
Learn more about Insect wing pitch here:https://brainly.com/question/27960461
#SPJ2
How many solutions does this system have? 6 x + 3 y = negative 12. y = negative 2 x + 4. one , two , infinite number , no solution
Answer : no solution
Step-by-step explanation:
The system of the equations have infinitely many solutions.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The linear equation of two variable is given below.
6x + 3y = –12
6x + 3y + 12 = 0 ...1
–2x + 4 = y
2x + y – 4 = 0 …2
The standard equations are given as
a₁x + b₁y + c₁ = 0
a₂x + b₂y + c₂ = 0
Compare equation 1 and 2 with the standard equation. Then we have
a₁ = 6, b₁ = 3, c₁ = 12
a₂ = 2, b₂ = 1, c₂ = –4
If the ratio of the coefficient of x and y are different, then unique solution.
If the ratio of the coefficient of x and y are same, but constant term ratio is different, then no solution.
If the ratio of the coefficient of x and y and constant term is same, then infinitely many solutions.
a₁ / a₂ = 6/2 = 3
b₁ / b₂ = 3/1= 3
c₁ / c₂ = 12/(-4) = -3
Then the condition will be
a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂
The system of the equations have infinitely many solutions.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
y=-3x + 6
y = 9
What is the solution to the system of equations?
(-21,9)
(9,-21)
(9,-1)
Answer:
(-1, 9) (he x value is placed first).
Step-by-step explanation:
y = -3x + 6
y = 9
Substitute y = 9 into the first equation:
9 = -3(x) + 6
-3x = 9 - 6
-3x = 3
x = -1.
I lost track on how to do this in high school I’m helping out my lil brother
a. -7 < |-9|
b. 2 > -2
c, |-5| = |5|
Answer: A: <
B: >
C: =
Step-by-step explanation: that is the absolute value, you find the absolute value and then see which is bigger or smaller
What is the interquartile range of the data set {23,30,24,28,27,24,26}?
Answer:
IQR=4
Step-by-step explanation:
Answer these questions about the powers of 3.
What is the pattern as the exponents decrease?
Answer:
Divided by 3
1
1/3
1/27
Step-by-step explanation:
Answer: Divide by 3, 1, 1/3, 1/27
Step-by-step explanation: