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Rina8888 [55]
3 years ago
6

Center ( 9,-8 ), passes through ( 19,22 )

Mathematics
1 answer:
katovenus [111]3 years ago
6 0
Center at (h,k) and radius r is
(x-h)²+(y-k)²=r²

so given
center at (9,-8)

(x-9)²+(y-(-8))²=r²
(x-9)²+(y+8)²=r²

input the point (19,22) to find r²
x=19 and y=22
(19-9)²+(22+8)²=r²
10²+30²=r²
100+900=r²
1000=r²
10√10=r

well, the equation is
(x-9)²+(y+8)²=1000
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8 0
3 years ago
Right triangle ABC is similar to triangle XYZ. If the length of side AB is 20.8 units, the length of side BC is 36.4 units, and
trasher [3.6K]

Answer:

XY is 4 units.              

Step-by-step explanation:

We are given the following in the question:

Right triangle ABC is similar to triangle XYZ.

AB = 20.8 units

BC = 36.4 units

YZ = 7 units

We have to find the length of side XY.

Since the given triangles are similar, they have the following property:

The ratio of corresponding sides of similar triangles are equal.

We can write,

\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}

Putting the given values, we have,

\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}\\\\\frac{20.8}{XY}=\frac{36.4}{7}\\\\XY = \frac{20.8\times 7}{36.4} =4 \text{ units}

Thus, the length of XY is 4 units.

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