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Neporo4naja [7]
2 years ago
10

Figure P, the small rectangle, was dilated with the origin as the center of dilation to create Figure Q, the large rectangle.

Mathematics
2 answers:
Anarel [89]2 years ago
8 0
Jrnkijhhhgrefgbtrrtghhkg
yKpoI14uk [10]2 years ago
4 0

Answer:

rule: four times longer and four times wider!

Step-by-step explanation:

since the length of figure Q is 4 times than figure P the width of figure Q is 4 times than figure P. so the figure p is enlarged by 4 times in all.

so the rule is stretching four times in length and in width!

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A tree's height increase by 15%. If a tree is 23 feet high, how tall will it be in one year ?
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Increased height:-

\\ \sf\longmapsto 23\times 15\%

\\ \sf\longmapsto 23\times \dfrac{15}{100}

\\ \sf\longmapsto \dfrac{345}{100}

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hodyreva [135]
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(x-h)^2+(y-k)^2=r^2
(h,k) - the coordinates of the centre
r - the radius

The midpoint of the diameter is the centre of a circle.
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(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})
(x₁,y₁), (x₂,y₂) - the coordinates of endpoints

P(-1,1) \\
x_1=-1 \\ y_1=1 \\ \\ Q(5,9) \\ x_2=5 \\ y_2=9 \\ \\
\frac{x_1+x_2}{2}=\frac{-1+5}{2}=\frac{4}{2}=2 \\ \frac{y_1+y_2}{2}=\frac{1+9}{2}=\frac{10}{2}=5

The centre of the circle is (2,5).

The radius is the distance between an endpoint of the diameter and the centre.
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d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

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The radius is 5.

(x-2)^2+(y-5)^2=5^2 \\
\boxed{(x-2)^2+(y-5)^2=25}
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The answer to the question is 65 miles

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