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Nata [24]
3 years ago
11

What is -31+-4x=-5+-5(1+5x)

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0

Answer:

x=1

Step-by-step explanation:

-31+(-4x) = -5+(-5)(1+5x)

-31-4x = -5+(-5)+(-25x)   : Adding a negative is the same as subtracting and I distributed the -5

-31 = -5 + -5 -21x    : added 4x to both sides

-31 = -10 -21x       : added -5 and -5

-21 = -21x           : added 10 to both sides

x=1   : divided both sides by -21, division of 2 negatives is a positive

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Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).
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General Idea:

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Applying the concept:

In the diagram given, the coordinate of C is (6, 3). Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).

If C (x, y) centered at origin with a scale factor of k, then the dilated point will be given by C' (kx, ky)

We know x = 6 & kx = 7.2

Substituting 6 for x in the equation kx = 7.2, we get 6k = 7.2.

Dividing 6 on both sides\frac{6k}{6}=\frac{7.2}{6}

Simplifying fractions on both sidesk=1.2

Point A from the diagram is (-3, 3)

x-coordinate of A' = kx=1.2 * -3 = -3.6

y-coordinate of A' = ky =1.2*3=3.6

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Conclusion:

<u>Scale factor of dilation is 1.2</u>

<u>The coordinates of point A' is (-3.6, 3.6)</u>

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