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svlad2 [7]
3 years ago
10

Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.

Mathematics
1 answer:
enyata [817]3 years ago
5 0

Answer:

-2,  (-5 is extraneous)

Step-by-step explanation:

assuming √(x+6) -4 =x

√(x+6) = x+4

square both side

x+6 = (x+4)^2

x+6 = x^2+8x+16

x^2+7x+10=0

(x+2)(x+5) = 0

x = -2, -5

put -5 back into org equation and it is not true

√(-5+6) -4 ≠ -5

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Find the volume of the cone. Round your answer to the nearest tenth.
oee [108]

Answer:

15205.3  

Step-by-step explanation: H=30  R²=484  3.14=π  →= rounded up to tenth  V = Volume

<em><u>formula (no numbers): H x R² x π ÷</u></em><u> </u>\frac{1}{3}<u> (or 3) </u><em><u>= V</u></em>

<u><em>how i got the answer :  30 x 484 x 3.14 ÷ 3 = 15205.31  → 15205.3</em></u>

4 0
3 years ago
How do you solve 7a- 17=4a+1
Dennis_Churaev [7]

Answer:

a = 6

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7a − 17 = 4a + 1

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7a − 17 − 4a = 4a + 1 − 4a

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Add 17 to both sides

3a − 17 + 17 = 1 + 17

3a = 18

Divide both sides by 3

3a / 3 = 18 / 3

a = 6

5 0
3 years ago
Absolute value of +4 and -2
Greeley [361]

Answer:

4 and 2

Step-by-step explanation:

3 0
3 years ago
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What is the value of the angle marked with <br> x?
egoroff_w [7]

Answer:

132°

Step-by-step explanation:

because the lines are parallel x + 48° must be 180°

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3 0
3 years ago
Find the volume of a pyramid with a square base, where the perimeter of the base is 13.4 in and the height of the pyramid is 7.6
VashaNatasha [74]

Answer:

28.4in³

Step-by-step explanation:

Volume of the square based pyramid = L²H/3 where;

L is the length of a side of the square base

H is the height of the prism

Given

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Height of the pyramid = 7.6in

First we need to get the length of the square base

Perimeter of a square = 4L

13.4 = 4L

L = 13.4/4

L = 3.35 in

Next is to find the required volume of the pyramid

V = L²H/3

V =  3.35²(7.6)/3

V = 85.291/3

V =  28.4 in³

Hence the volume of the pyramid to nearest tenth is 28.4in³

7 0
3 years ago
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