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Vsevolod [243]
3 years ago
10

Write the standard form of the equation of a circle with center (-3, 4) and radius = 5.

Mathematics
1 answer:
mote1985 [20]3 years ago
6 0

Answer:

Equation \ of \ circle = (x -x_{0})^2 + (y - y_{0}) ^2 = r^{2}\\

                              (x - (-3))^2 + (y - 4)^2 = 25\\\\(x + 3)^2 + (y -  4)^2 = 25\\\\

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Round 7.38 to the nearest tenth
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Answer:

7.40

Step-by-step explanation:

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4 0
3 years ago
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Select the correct answer.
laiz [17]
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3 years ago
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Find the value of x in each case. Give reasons to justify your solutions!
tangare [24]

Answer:

x=27°

Step-by-step explanation:

we know that

<u><em>The Triangle Exterior Angle Theorem</em></u>, states that: An exterior angle of a triangle is equal to the sum of the opposite interior angles

step 1

Find the measure of angle PLM

we know that

m∠PLM+m∠LPM=m∠PMN ----> by Triangle Exterior Angle Theorem

we have

m∠LPM=x°

m∠PMN=2x+72°

substitute

m∠PLM+x=2x+72°

m∠PLM=2x-x+72°

m∠PLM=x+72°

step 2

Find the measure of angle x

we know that

3x+m∠PLM=180° ----> by supplementary angles (form a linear pair)

we have

m∠PLM=x+72°  (see step 1)

substitute

3x+x+72°=180°

4x=180°-72°

4x=108°

x=27°

4 0
3 years ago
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