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Mama L [17]
3 years ago
15

2x/x2-25=10/x2-25 - 4/x+5

Mathematics
1 answer:
White raven [17]3 years ago
8 0
Hello,

x²-25≠0==>x≠5 and x≠-5

\dfrac{2x}{x^2-25}= \dfrac{10}{x^2-25}- \dfrac{4}{x+5}   \\

 \dfrac{2x}{x^2-25}= \dfrac{10}{x^2-25}- \dfrac{4(x-5)}{(x+5)(x-5)}   \\

2x=10-4x+20\\

6x=30\\

x= 5 

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A helicopter flying 3590 feet above ground spots the top of a 150-foot y'all cell phone tower at an angle of depression of 77° h
erik [133]

Answer:

794.19 feet.

Step-by-step explanation:

Please find the attachment.

Let x be the distance helicopter needs to fly to be directly over the tower.

We have been given that a helicopter flying 3590 feet above ground spots the top of a 150-foot y'all cell phone tower at an angle of depression of 77°.

We can see from our attachment that helicopter, tower and angle of depression forms a right triangle.

As height of tower is 150 feet, so the vertical distance between helicopter and tower will be 3590-150=3440 feet.

We cab see from our attachment that the side with length 3590-150 feet is opposite and side x is adjacent side to 77 degree angle.

Since we know that tangent relates the opposite side of a right triangle to its adjacent side, so we will use tangent to find the length of x.

\text{Tan}=\frac{\text{Opposite}}{\text{Adjacent}}

Upon substituting our given values in above formula we will get,

\text{Tan}(77^o)=\frac{3590-150}{x}

\text{Tan}(77^o)=\frac{3440}{x}

x=\frac{3440}{\text{Tan}(77^o)}

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x=794.1865\approx 794.19

Therefore, the helicopter must fly approximately 794.19 feet to be directly over the tower.

6 0
3 years ago
Rewrite the following equation in slope-intercept form. 5x + 7y = 7 Write your answer using integers, proper fractions, and impr
pogonyaev
Answer:
y = (-5/7) x + 1

Explanation:
The slope-intercept form of the line has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept

The given is:
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To put this in slope-intercept form, we will need to isolate the y as follows:
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Hope this helps :)


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3 years ago
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Answer:

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