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Paha777 [63]
3 years ago
15

Given a dilation around the origin, what is the scale factor K?

Mathematics
1 answer:
kobusy [5.1K]3 years ago
5 0

Answer:

The answer is "\frac{4}{3}"

Step-by-step explanation:

Given:

\bold{DoK = (12, 8) (9,6)}

In the scale factor when we take x coordinate then the value of k is:

\Rightarrow x= \frac{x_1}{x_2}\\\\\Rightarrow x= \frac{12}{9}\\\\\Rightarrow x= \frac{4}{3}\\

If we take y coordinate then the value of k is:

\Rightarrow y= \frac{y_1}{y_2}\\\\\Rightarrow y= \frac{8}{6}\\\\\Rightarrow y= \frac{4}{3}\\

So, the final value of k is "\frac{4}{3}" .

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-7+ 5Y = -37 simplify your answer as much as possible
irinina [24]

Answer:

y = -6

Step-by-step explanation:

To simplify this equation as much as possible, we have to get the variable y by itself.

To do this, we would do the inverse operation of subtraction and add 7 to the left and right side of the equation.

-7 + 7 + 5y = -37 + 7

The 7s cancel out on the left side because -7+7 = 0 and so we are left with,

5y = -30

Then we would do the inverse operation of multiplication and divide by 5 on the left and right side of the equation.

5y/5 = -30/5

y = -6

8 0
3 years ago
3/5 of a number is 30. What is the number?<br><br><br> 10<br> 20<br> es<br> 18<br> 15
S_A_V [24]

Answer:

50

Step-by-step explanation:

\frac{3}{5}*x=30\\x=30*5/3=50

4 0
3 years ago
Three less than a 6 times a number is 39. find the number
Vanyuwa [196]
Using the problem, create an equation to find the number (x).
Three less than (so x minus 3) 6 times a number (6 times x) equals 39.

6x-3=39, solve for x.
x = 7
5 0
4 years ago
Minimize F = 3a + 4m if ma = 12. Assume a &gt; 0, m &gt; 0.
Sophie [7]

Answer:(x +3)

Step-by-step explanation:

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3 years ago
Read 2 more answers
Find the work done by the force f(x)=3x+7 in moving a particle from x=1 to x=3
andrew11 [14]

Answer:

26

Step-by-step explanation:

W = ∫ f(x) dx

W = ∫₁³ (3x + 7) dx

W = (1.5x² + 7x) |₁³

W = (1.5(3)² + 7(3)) − (1.5(1)² + 7(1))

W = 26

4 0
3 years ago
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