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ArbitrLikvidat [17]
3 years ago
8

What’s the midpoint between -4,4 and 5,-2

Mathematics
1 answer:
pashok25 [27]3 years ago
3 0

Answer:

\left(\frac{1}{2},\:1\right)

Step-by-step explanation:

Midpoint = \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-4,\:4\right),\:\left(x_2,\:y_2\right)=\left(5,\:-2\right)\\\\=\left(\frac{5-4}{2},\:\frac{-2+4}{2}\right)\\\\= (\frac{1}{2} , \frac{2}{2} )\\\\Simplify\\=\left(\frac{1}{2},\:1\right)

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What equation represents a parabola with a focus of (0,4) and a directrix of y=2
scZoUnD [109]
We know that

Any point <span>(x,y)</span> on the parabola is equidistant from the focus and the directrix

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7 0
4 years ago
The lifeguard of the beach resort is on his post which is 4 m high. A boy in the pool is 9 meters away from him. Find the angle
Dovator [93]

\large \underline{ \mathbb{QUESTION:}}

The lifeguard of the beach resort is on his post which is 4 m high. A boy in the pool is 9 meters away from him. Find the angle of depression from the lifeguard to the boy.

\large\underline{ \mathbb{ANSWER  \: \& \: SOLUTION:}}

\large \tt{ tan \: x \:  =  \:  \frac{opposite}{adjacent} }

\large \tt{tan  \: x \:  =  \:  \frac{4}{9}}

\large \tt{ \:   \: \:  \:   \:  \:  \: \: x \:  =  \:  tan ^{ - 1}  \:  (0.444)}

\large \tt {\:  \:  \:  \:  \:  \:  \:  \: x \:  =  \: 23.96 ^{o} }

\:\:\:\:\:\:\:\: \large \boxed{\tt{\red{  x \:  =  \: 24 ^{o} }}}

Therefore the angle of depression from the lifeguard to the boy is 24°.

8 0
3 years ago
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