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hichkok12 [17]
3 years ago
7

Rectangle A′B′C′D′ is the image of rectangle ABCD after a dilation.

Mathematics
1 answer:
konstantin123 [22]3 years ago
3 0
The dimensions of the original figure is a 4 x 3 rectangle, and the dilated figure's dimensions are 12 x 9.  
The length of 12 is 3 times more than the length of 4, and the width of 9 is 3 times more than the width of 3. 
This means that the scale factor of the dilation is 3. Hope this helps!
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Line r passes through points (8,10) and (2,3). Line s is perpendicular to r. What is the slope of line S?
Zepler [3.9K]

Answer:

               -\dfrac67

Step-by-step explanation:

slope of r:

                  a_r=\dfrac{10-3}{8-2}=\dfrac76

s is perpendicular to r:

s\perp r\ \ \implies\ \ a_s\cdot a_r=-1\\\\a_s\cdot\dfrac76=-1\\\\a_s=-\dfrac67

5 0
2 years ago
Solve for k, the constant of variation, in an inverse variation problem where y=17 x=6
torisob [31]

Answer:

k = 102

Step-by-step explanation:

Inverse variation is represented as follows:

y = k/x

Find k by substituting 17 for y and 6 for x:

17 = k/6

Multiplying both sides by 6 results in k = 102

8 0
2 years ago
Which equation can be used to find the perimeter of a regular octagon with sides of length 12?
USPshnik [31]
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7 0
3 years ago
Y=-x-4
aliina [53]

Answer:

(-4 , 0)

Step-by-step explanation:

Graph attached

5 0
3 years ago
Let x be a positive integer. If (-3)ºx (-3)* = (-3)14,<br> what is x?
Nezavi [6.7K]

Answer:

-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14 : x = \frac{840}{180^{\circ \:}}

Decimal Form:

x = -267.38030...

Step-by-step explanation:

-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14

Remove Parentheses: (-a) = -a

-3^{\circ \:}x\left(-3\right)=-3\cdot \:14

Multiply the numbers: 3 * 14  = 42

-3^{\circ \:}x\left(-3\right)=-42

Divide both sides by: -3^{\circ \:}\left(-3\right)

\frac{-3^{\circ \:}x\left(-3\right)}{-3^{\circ \:}\left(-3\right)}=\frac{-42}{-3^{\circ \:}\left(-3\right)}

Simplify:

x=-\frac{840}{180^{\circ \:}}

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, have a good day! =)

3 0
3 years ago
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