MATHEMATICS HIGH SCHOOL

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

Answers

Answer 1
Answer: When we take the square root of each side, the equation would become:
abs (x+2) = 2
⇒ x+2 = ±2.

The final answer is x + 2 = ±2.

Hope this helps~
Answer 2
Answer:
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  =  ± 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 .

Related Questions

What is 14/10 as a decimal?
Given the figure below, find the measure of​
4a+b-3=2b is this a linear equation?
What is the value of the expression below?8^1/3A. 4B.8/3C.2/3D. 2.
What is 62 in expanded form? a. 36 b. 12 c. 6 × 6 d. 2 × 2 × 2 × 2 × 2 × 2

TRUE OR FALSE If f(x) = 2x and g(x) = 1/2x, then f(x)*g(x) is x.

Answers

well i don't think so because f(x) is 2x but g(x) is 1/2x
HOPE I HELPED(and got it right)!
:)

the gathering of information about public opinion by questioning a representative sample of the population is

Answers

Answer:

polling

Step-by-step explanation:

The function g(x) = x2 – 10x + 24 is graphed on a coordinate plane. Where will the function cross the x-axis?

Answers

This is a quadratic, most people factor it to find the answers but I like to use the quadratic formula. See the attached picture. Your two answers (x's) are 6 and 4.

Answer:

6 and 4.

Step-by-step explanation:

A swimming pool is being drained for maintenance. The volume of water in the pool changes by −12 gallons every minute. What is the change in volume over 90 minutes? Enter the your answer in the box.

Answers

Answer:

Step-by-step explanation:

Answer:

-1080

Step-by-step explanation:

1 min = -12

90 min = 90 * (-12) = - 1080

Trevor had 3/4 pound of peanut she wants to split them evenly among 4 people. How many pounds of peanuts would each person get?

Answers

Hi! Each person would get 3/16 pounds of peanuts. 3/4 / 4 = 3/16

I hope this helps, Goodluck! :)

PLEASE HELP!!! 50 POINTS!! WILL GIVE BRAINLIEST!!!A person standing at the top of Mountain Everest would be approximately 5.5 mi high. The radius of earth is 3959 mi.

What is the distance to the horizon from this point?

Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
PLZ SHOW WORK!!!

Answers

Answer:

208.8 mi

Step-by-step explanation:

Form a triangle with the centre of the Earth (C) at one point, the horizon (H) as a second point, and the top of Mt. Everest (O) as the third (see diagram).

Let

r  = Earth’s radius

h = height of Mt Everest

d = distance to horizon

∆CHO is a right triangle.

               d² + r² = (r+h)²

       d² + 3959² = (3959+5.5)²

d² + 15 673 681 = 3964.5²

d² + 15 673 681 = 15 717 260     Subtract 15 673 681 from each side

                     d² = 43 579             Take the square root of each side

                      d = 208.8 mi

The distance from the top of Mt Everest to the horizon is 208.8 mi.

Answer:

I JUST TOOK THE TEST THE ANSWER IS CORRECT.

Step-by-step explanation:

208.8
Other Questions
Which equation represents the line whose slope is 2 and whose y-intercept is 6
Part 1 : angle-angle-side , angle-side-angle, hypotenuse-leg, side-side-angle, side-angle-side,angle-angle-angle, side-side-sidePart 2 : can be proven congruent or cannot be proven congruent Geometry
Describe one way you could read the expression 0.50 x (24 + 8)
If I work then I earn money, but if I'm idle, then I enjoy myself. Either I work or I'm idle. However, if I work, then I do not enjoy myself, while if I'm idle, then I do not earn money. Therefore,(a) I work if and only if I enjoy myself(b) I work if I earn money(c) I do not earn money if I'm idle(d) I enjoy myself if and only if I do not earn money