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Mice21 [21]
3 years ago
10

Enlarge the triangle by scale factor 1.5 using (4,4) as the center of enlargement.​

Mathematics
1 answer:
maria [59]3 years ago
8 0

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, dilation and rotation.

Dilation is the enlargement or reduction of the size of a figure. If a point A(x, y) is dilated about the center of origin by a factor k, the new point is at A'(kx, ky)

If a point A(x, y) is dilated about the point (a,b) by a factor k, the new point is at A'(k(x - a) + a, k(y - b) + b)

From the image the vertex of the triangle is at (0,0), (-2, 4) and (-2, 0). If the triangle is enlarged by scale factor 1.5 using (4,4)  as the center of enlargement.. Hence the new points are:

For (0,0): (1.5(0 - 4) + 4, 1.5(0 - 4) + 4) = (-2, -2)

For (-2,4): (1.5(-2 - 4) + 4, 1.5(4 - 4) + 4) = (-5, 4)

For (-2, 0): (1.5(-2 - 4) + 4, 1.5(0 - 4) + 4) = (-5, -2)

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How many times larger is 9 x 10^9 than 3 x 10^-4?
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The larger value is 9 x 10^9
The smaller value is 3 x 10^(-4)

Divide the larger over the smaller
Doing so will have you divide the coefficients 9 and 3 (numbers in front of the "times ten to the..." portions) to get 9/3 = 3. 
Then you'll also subtract the exponents: 9 minus (-4) = 9 - (-4) = 9 + 4 = 13

In summary so far, we got a coefficient of 3 and an exponent of 13

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