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Akimi4 [234]
3 years ago
13

What is the answer to this problem? Thank you!

Mathematics
1 answer:
Misha Larkins [42]3 years ago
8 0

what are the statements?

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Solve for x, if a solution is extraneous identify in the final answer. thx :)
Fantom [35]

Answer:

x = 6 and x = 11.

Step-by-step explanation:

sqrt(x - 2) + 8 = x

sqrt(x - 2) = x - 8

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

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

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

x^2 - 17x + 66 = 0

We can use the discriminant to find whether there are solutions to the equation.

b^2 - 4ac; where a = 1, b = -17, and c = 66.

(-17)^2 - 4 * 1 * 66

= 289 - 264

= 25

Since the discriminant is positive, we know there are two valid solutions to the equation.

x^2 - 17x + 66 = 0

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

The solutions are when x - 6 = 0 and x - 11 = 0.

x - 6 = 0

x = 6

x - 11 = 0

x = 11

Hope this helps!

8 0
3 years ago
Read 2 more answers
PLEASE PLEASE HELP. I will make you brainlest.
zvonat [6]

Answer: 15 √ 2

Step-by-step explanation:

Equilateral triangles have three equal side lengths, three equal angles of 60 degrees, and three equal altitudes.

You would think that the height of an equilateral triangle would also be equal to it's sides, but it's not. The formula for height is: side/2 x √3

10√6 / 2 * √ 3 = 15 √ 2

The decimal form: 21.2

4 0
3 years ago
give the equation of a line that goes through the point (-4,-1) and is parallel to the line -3x+5y=-10​
Zarrin [17]

Answer:

y=\frac{3}{5} x+\frac{7}{5}

Step-by-step explanation:

1) the equation of the given line in the slope-interception form is:

y= 3/5 x -2;

the equation of the required line is

y=slope*x+i;

2) if the required line is parallel to the given one, it means, the value of its slope is the same, it means 3/5;

then the equation of the required line is

y=3/5*x+i;

3) if the point (-4;-1) belongs to the required line, then it is possible to substitute its coordinates into the equiation of the required line

-1= 3/5*(-4)+i;

4) it is possible to calculate the value of 'i':

i=7/5;

5) if slope=3/5, i=7/5, then the required equation of the line in slope-interception form is:

y=\frac{3}{5} x+\frac{7}{5}.

3 0
3 years ago
If f(x) = 6x+7 find f(q+1)
Makovka662 [10]

Answer:

  • 6q + 13

Step-by-step explanation:

<u>Given</u>

  • f(x) = 6x+7

To find f(q+1),

<u>substitute x with q+1 in the given equation:</u>

  • f(q + 1) = 6(q + 1) + 7 = 6q + 6 + 7 = 6q + 13
6 0
3 years ago
Read 2 more answers
(3n)3 without exponent
enyata [817]
Distributive property: 3x3 and 3xn
So... 9x3n which becomes
27n
8 0
3 years ago
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