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Arlecino [84]
3 years ago
10

Geometry help wanted will give 50 points .

Mathematics
1 answer:
Dvinal [7]3 years ago
8 0
Okay, I will try to help you the best I can!!
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Square root of the quantity x minus 2 end quantity plus 8 equals x
Butoxors [25]

ANSWER

x=11

EXPLANATION

We want to solve the equation:

\sqrt{x - 2}  + 8 = x

Add -8 to both sides:

\sqrt{x - 2} = x - 8

Square both sides of the equation to get:

(\sqrt{x - 2} )^{2} =( x - 8)^{2}

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

Rewrite in the form ax² +bx+c=0

{x}^{2}  - 16x - x + 64 + 2 = 0

{x}^{2}  - 17x + 66 = 0

Factor to get,

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

This implies that,

x = 11 \: or \: x = 6

Checking for extraneous solutions.

When x=6, the original equation becomes,

\sqrt{6- 2}  + 8 = 6

\sqrt{4 }  + 8 = 6

2+8= 6 is not true.

x=6 is an extraneous solution.

When x=11, the original equation becomes,

\sqrt{11- 2}  + 8 = 11

\sqrt{9}  + 8 = 11

3 + 8 = 11

This is true, hence x=11 is the only solution.

5 0
3 years ago
Solve for the value of p<br><br>dont ask for ang information cuz that is literally all it says​
seraphim [82]

Answer:

p = 35

Step-by-step explanation:

( 2p + 5 ) + ( 3p ) = 180

-

2p+5+3p=180

Combine 2p and 3p to get 5p.

-

5p+5=180

Subtract 5 from both sides.

-

5p=180−5

Subtract 5 from 180 to get 175.

-

5p=175

Divide both sides by 5.

p = 175\5

Divide 175 by 5 to get 35.

-

p = 35

5 0
3 years ago
Anne is building bookcases that are 3.1 feet long. How many complete shelves can be cut from a 12-foot board?
bekas [8.4K]

Answer: 3 shelves

Step-by-step explanation:

12 ÷ 3.1 = 3.87…

Since this is more than 3 but less than 4, we can build 3 full shelves with a leftover.

5 0
3 years ago
Simplify the expression 5g+5-2g+g+5h
Aleksandr [31]
Group like terms (g's with g's and constants with constants)
5g-2g+g+5h+5
add like terms
4g+5h+5

5 0
3 years ago
What is 1.5 divides by 0.25 also if you could can you set it up and show me hot to dived it plz whoever does it first and is rig
zhuklara [117]

Answer:

6 all u do is .25 + .25 etc until you 1.5

Step-by-step explanation:

8 0
3 years ago
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