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alexandr402 [8]
3 years ago
12

I FAIpQLSep5JOTD IBL

Mathematics
1 answer:
frozen [14]3 years ago
7 0

Answer:

8 ft i think there is't much context to go off of though

Step-by-step explanation:

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If 24 is the width then the answer is 40 and if 30 is the width then the answer is 50

Step-by-step explanation:

We multiply both sides by the scale factor to find both sides of the new rectangle. 30 * 5/3 = 50 and 24 * 5/3 = 40, so the sides of the new rectangle are 50 and 40. It matters whether 24 or 30 are the length or width, but if 24 is the width then the answer is 40 and if 30 is the width then the answer is 50

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Find an equation of the circle that satisfies the given conditions.
hodyreva [135]
The equation of a circle:
(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.
The coordinates of the midpoint:
(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})
(x₁,y₁), (x₂,y₂) - the coordinates of endpoints

P(-1,1) \\&#10;x_1=-1 \\ y_1=1 \\ \\ Q(5,9) \\ x_2=5 \\ y_2=9 \\ \\&#10;\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.
The formula for distance:
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 \\&#10;\boxed{(x-2)^2+(y-5)^2=25}
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