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hram777 [196]
3 years ago
15

Please help me with this! :

Mathematics
1 answer:
Volgvan3 years ago
3 0

Answer:

x=11

6 is extraneous

Step-by-step explanation:

sqrt( x-2) +8=x

Subtract 8 from each side

sqrt( x-2) +8-8=x-8

sqrt(x-2) = x-8

Square each side

(sqrt(x-2))^2 = (x-8)^2

x-2 = (x-8) (x-8)

x-2 = x^2 - 8x -8x +64

x-2 = x^2 - 16x +64

Subtract x from each side

x-x-2 = x^2 - 16x -x +64

-2 = x^2 - 17x +64

Add 2 to each side

-2+2 =x^2 - 17x  +64+2

0 = x^2 - 17x  +66

Factor

0 = (x- 11) (x-6)

Using the zero product property

x-11=0   x-6 =0

x=11       x=6

Check the solutions

x=11

sqrt( 11-2) +8=11

sqrt(9) +8 =11

3+8 =11  true

x=6

sqrt( 6-2) +8=6

sqrt(4) +8 =6

2 +8 = 6  false

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nasty-shy [4]

Answer:

Step-by-step explanation:

MX = XN

5r² + 2r + 52 = 4r² + 12r + 27

5r² - 4r² + 2r - 12r + 52 - 27 = 0

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(r - 5)² = 0

r - 5 = 0

r = 5

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4•5² + 12•5 + 27

4•25 + 60 + 27

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187

The Second one

I hope I helped you.

8 0
4 years ago
How do you solve W+-3=18
oksian1 [2.3K]
W=21 no work to this problem
6 0
3 years ago
Find the discriminant. Зу^2+ 8y + 6 = 0​
velikii [3]
I think the answer is y = 3/7
3 0
3 years ago
Urgent! Please answer ALL of the following questions to receive brainliest answer! Use the picture attached to solve! Thank you!
wolverine [178]
1. The two angles add up to 180°.

2. You can create an equation because of this:
2x - 3 + 7x + 21 = 180
9x + 18 = 180
- 18
9x = 162
÷ 9
x = 18

3. <KMP is equal to <YMA because they are vertically opposite, so you can substitute in the value of x to find it.
(7 × 18) + 21
126 + 21 = 147
answer = 147°

4. The complement of an angle is the value that makes it add up to 90°, so first we need to find <KMA:
(2 × 18) - 3
36 - 3 = 33°
90 - 33 = 57
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I hope this helps!
5 0
3 years ago
HELP!! claire has a hot tub with a diameter of 7 feet. she wants to purchase a cover to protect the hot tub. what is the area of
Dmitrij [34]

Answer:I believe the answer is 38

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
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