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Fiesta28 [93]
3 years ago
10

What is the image of (0,4) after a dilation by a scale factor of 1/2 centered at the origin

Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0

Answer:

(0,2)

Step-by-step explanation:

Multiply the x and y by 1/2

0*1/2=0

4*1/2=2

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Consider the line y=-5/4x-5 find the equation of the line that is parallel to this line and passes through the point (-8,4)
gayaneshka [121]

Answer:

y = -5/4x + 6

Step-by-step explanation:

Since the line we are supposed to find is parallel to y = -5/4x - 5 that means they are going to have the same slope. The line we are looking for is of the following type: y = -5/4 x + b

Since it passes through the point (-8,4):

4 = -5/4 * (-8) + b <=>

4 = -2 + b <=>

4 + 2 = b <=>

b = 6

Hence the line is going to be: y = -5/4x + 6

4 0
3 years ago
Pls help asap, find the height of the cylinder and round to the nearest tenth
Elena L [17]

Answer:

h = 2.4

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

271.4 = pi ( 6)^2 *h

271.4 = 36* pi* h

Letting 3.14 = pi

271.4 = 113.04 h

Divide each side by 113.04

271.4 /113.04 = 113.04h/113.04

2.424805379 = h

Rounding to the nearest tenth

2.4 = h

OR if we use the pi button

271.4 = 36 * pi *h

Divide each side by 36 pi

271.4/36pi = h

h=2.3997

Rounding to the nearest tenth

h =2.4

3 0
2 years ago
After a bride has interviewed 7 DJs to play at her wedding, her fiance tells her she needs to narrow it down to 4 DJs. In how ma
Alex17521 [72]

Answer:

840

Step-by-step explanation:

Given

DJs = 7

To\ pick = 4

Required

Determine the number of rankings

The term "ranking" as used in this question implies permutation and the required is calculated using:

^nP_r = \frac{n!}{(n-r)!}

Where

n = 7

r = 4

So:

^nP_r = \frac{n!}{(n-r)!}

^7P_4 = \frac{7!}{(7-4)!}

^7P_4 = \frac{7!}{3!}

^7P_4 = \frac{7 * 6 * 5 * 4 * 3!}{3!}

^7P_4 = 7 * 6 * 5 * 4

^7P_4 = 840

<em>Hence, number of ranking is 840</em>

7 0
3 years ago
9(m +5) - 3(m - 2) = 8m + 31
castortr0y [4]

Answer:

m=10

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Look at each equation and possible solution. Is the solution correct? Select Yes or No for each equation.
oksano4ka [1.4K]

Answer:

yes

Step-by-step explanation:

7 0
3 years ago
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