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3 years ago

Plot the image of D under a dilation about the origin (0,0) with a scale factor of 2

Mathematics

1 answer:

ElenaW [278]3 years ago

4 0

(-6,-4)

If you dilate a point, (c,d) about (a,b) by a scale factor by k. You'll going to subtract each coordinates where the point will be dilated about (a,b) from the point (c,d) and then multiply them by k. This would be the formula if you want: (k(c -a), k(b -d))

Let's say F is the dilation of D about the origin or (0,0) then the x coordinate of F would be

$x = 2( - 3 - 0) \\ x = 2( - 3) \\ x = - 6$

This would be the y coordinate of F:

$y = 2( - 2 - 0) \\ y = 2( - 2) \\ y = - 4$

Thus the coordinates of F is (-6,-4)

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What is the volume of the pyramid?

geniusboy [140]

Answer: 16 cm^2.

Step-by-step explanation: The volume of a pyramid is equal to one-third the product of the area of the base and the height:

$V=\frac{1}{3}A*h$

In this case, the base is a square, so its area is:

A=L^2 where "L" is the lenght of the base edge

So the volume would be:

$V=\frac{1}{3}L^{2} *h$

$V=\frac{1}{3}4^{2} *3$

V=16*3/3

$V=16cm^{2}$

7 0

3 years ago

Graph the function and answer each of the following questions, f(x) = -3x + 5

olga2289 [7]

A. 5
B. -3/1
C. Negative
D. You have to go down 3 over to the right one from where your y-intercept is.

To plot the y intercept plot (0,5)
To plot the next point go down 3 over 1 to the right from the y-ing

3 0

3 years ago

What is the simplified form of the following expression?

geniusboy [140]

Answer:

242

Step-by-step explanation:

Simplify the following:

11 ((9^2 - 5^2)/2^2 + 8)

Hint: | Evaluate 2^2.

2^2 = 4:

11 ((9^2 - 5^2)/4 + 8)

Hint: | Evaluate 5^2.

5^2 = 25:

11 ((9^2 - 25)/4 + 8)

Hint: | Evaluate 9^2.

9^2 = 81:

11 ((81 - 25)/4 + 8)

Hint: | Subtract 25 from 81.

| 7 | 11

| 8 | 1

- | 2 | 5

| 5 | 6:

11 (56/4 + 8)

Hint: | Reduce 56/4 to lowest terms. Start by finding the GCD of 56 and 4.

The gcd of 56 and 4 is 4, so 56/4 = (4×14)/(4×1) = 4/4×14 = 14:

11 (14 + 8)

Hint: | Evaluate 14 + 8 using long addition.

| 1 |

| 1 | 4

+ | | 8

| 2 | 2:

11×22

Hint: | Multiply 11 and 22 together.

| 2 | 2

× | 1 | 1

| 2 | 2

2 | 2 | 0

2 | 4 | 2:

Answer: 242

3 0

3 years ago

Jerald jumped from a bungee tower. If the equation that models his height, in feet, is h = –16t2 + 729, where t is the time in s

Snezhnost [94]

Answer. First option: t > 6.25

Solution:

Height (in feet): h=-16t^2+729

For which interval of time is h less than 104 feet above the ground?

h < 104

Replacing h for -16t^2+729

-16t^2+729 < 104

Solving for h: Subtracting 729 both sides of the inequality:

-16t^2+729-729 < 104-729

-16t^2 < -625

Multiplying the inequality by -1:

(-1)(-16t^2 < -625)

16t^2 > 625

Dividing both sides of the inequality by 16:

16t^2/16 > 625/16

t^2 > 39.0625

Replacing t^2 by [ Absolute value (t) ]^2:

[ Absolute value (t) ]^2 > 39.0625

Square root both sides of the inequality:

sqrt { [ Absolute value (t) ]^2 } > sqrt (39.0625)

Absolute value (t) > 6.25

t < -6.25 or t > 6.25, but t can not be negative, then the solution is:

t > 6.25

5 0

3 years ago

Read 2 more answers

7 . Your goal is to sell at least 50 boxes of cookies for your school fundraiser.

worty [1.4K]

Answer:

a. number of boxes sold ≥ 50

b. 26 + x ≥ 50

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers