Write the standard equation for the circle with center (–2, 5) that passes through (1, 9).

Mathematics

2 answers:

maksim [4K]3 years ago

6 0

All given options are incorrect .. As no one is the equation of a circle

mr_godi [17]3 years ago

6 0

Hello,

Answer D:

1) we must find the radius:

r²=(1-(-2))²+(9-5à²=3²+4²=9+16=25=5²

The circle's equation is
(x-(-2))²+(y-5)²=25
or (x+2)²+(y-5)²=25

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The diagram below shows a student using a clinometer to measure the height of a flagpole. When the student stands 40 feet away f

AVprozaik [17]

The correct answer is the flagpole is <span>33 feet high</span>.

Explanation:
Please refer to the attached picture.

We know:
CD = 40 feet
AC = 5 feet
∠BDC = α = 35°

Using trigonometry, we know that the definition of the tangent of an angle is the ratio between the opposite side and the adjacent side, therefore:
tan α = BC / CD

Solving for BC:
BC = CD · <span>tan α
= 40 </span>· tan (35)
= 28 feet

In order to find the height of the flagpole, we need to add the distance of the clinometer from the ground:
AB = BC + AC
= 28 + 5
= 33

Hence, the flagpole is 33 feet high.