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andreyandreev [35.5K]
3 years ago
14

Two equations are given below:

Mathematics
1 answer:
ycow [4]3 years ago
8 0
Hello,

a-3b=4 (1)
a-b=-2 (2)

(1)-(2)==> -2b=6
=>b=-3 and a=-2+(-3)=-5

Answer D


Proof
-5+3=-2
-5-3(-3)=4



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Genevieve wants to verify that }(5x-20)-(4x-8) is equivalent to x. Which procedure can Genevieve follow to determine if
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They aren't equivalent

<h2>Explanation:</h2>

In order to determine whether the expression:

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An observer in tower A sees a boat 1538 yd away at an angle of depression of 35°. To the nearest yard, how far is the boat away
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From my own solution, my answer is closest to D<span>. 1951 yd; 27°
</span><span>
The boat is 1951 yards away from the observer in tower B. The angle of depression to the boat from Tower B is 27</span>°.<span>

Pls. see my attachment. 

In it I divided the big triangle into two small right triangles. 
I solved for the common leg of the right triangles by using sin theta formula. sin </span>θ = opposite / hypotenuse
<span>
sin 35</span>° = opposite / 1538 yd
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From there, I used the Pythagorean theorem to solve for the missing side which is part of the 3,000 yd measure.

I got the measure of 1,259.86 yards. The remaining measure of 1,740.14 is the side of the other right triangle. 

Still using Pythagorean Theorem, I used the measurement of the known side of the 2nd right triangle to solve for its hypotenuse which was 1,950.97 or 1,951 yards.

With regards to the angle of depression, I used this formula:

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</span>

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