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Deffense [45]
4 years ago
10

Theo started to solve the quadratic equation (x + 2)^2 – 9 = –5. He added 9 to both sides and the resulting equation was (x + 2)

^2 = 4. Next, he took the square root of each side. Which was the resulting equation of that step?
x + 2 = ±4
x + 2 = ±2
x + 2 = ±8
x + 2 = ±16
Mathematics
2 answers:
Sliva [168]4 years ago
6 0
When we take the square root of each side, the equation would become:
abs (x+2) = 2
⇒ x+2 = <span>±2.

The final answer is </span><span>x + 2 = ±2.
</span>
Hope this helps~



Ugo [173]4 years ago
6 0

The square root of  (x + 2)²  is  (x + 2) .

The square roots of  4  are  +2  and  -2 .

So the resulting equation was            x + 2  =  <span>± 2 .

From there, it was pretty easy for Theo to find the solutions
to the original equation . . .

If  (x + 2) = +2 , then  x = 0 .

If  (x + 2) = -2 , then  x = -4 .

</span>
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Find the length of the altitude to the hypotenuse. round the answer to the nearest tenth, if needed
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See the figure attached to better understand the problem

we now that

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3 years ago
Read 2 more answers
A guy-wire extends from the top of a cell phone tower to a point on the
Fed [463]

Answer:

79.1 ft

Step-by-step explanation:

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Segment BC is 25 ft long. Segment AB is 75 ft long. Angle B is a right angle.

You are looking for the length of segment AC, the guy wire length.

Triangle ABC is a right triangle with right angle B.

Sides AB and BC are the legs, and side AC is the hypotenuse.

We can use the Pythagorean Theorem:

(leg1)^2 + (leg2)^2 = (hyp)^2

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We are looking for c, the length of the hypotenuse.

(75 ft)^2 + (25 ft)^2 = c^2

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6 0
3 years ago
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