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Ostrovityanka [42]
3 years ago
14

What is the solution of the equation? please help!!

Mathematics
1 answer:
Leno4ka [110]3 years ago
3 0
The answer is 46, The solution is listed below:

\sqrt{2x+8}-6=4 \\  \\  
 \sqrt{2x+8}=10 \\  \\ 
2x+8=(10)^{2} \\  \\ 
2x+8=100 \\  \\ 
2x=92 \\  \\ 
x= 46
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The perimeter of the triangle.​
mel-nik [20]
In order to find the perimeter, all we have to do is add all three of the sides:
x^2 + 3 + 2x + 5 + 2x = 29
x^2 + 4x + 8 = 29

Subtract 29 from both sides:
x^2 + 4x - 21 = 0

Factor:
(x + 7)(x - 3) = 0
{-7, 3}

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4 0
4 years ago
Factor x3 – 7x2 – 5x 35 by grouping. what is the resulting expression? (x2 – 7)(x – 5) (x2 – 7)(x 5) (x2 – 5)(x – 7) (x2 5)(x –
mars1129 [50]

The factored expression ofx^3 - 7x^2 -5x +35 is (x^2 - 5)(x - 7)

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An expression is an algebraic term used for a mathematical statement that includes addition subtraction multiplication and division

x^3 – 7x^2 – 5x + 35

factor the given equation

x^2(x – 7) – 5(x - 7)

Factor out x - 7

(x^2 - 5)(x - 7)

Therefore, the factored expression is (x^2 - 5)(x - 7)

To learn more about the factored expression visit:

brainly.com/question/723406

7 0
2 years ago
A parabolic arch has a height of 25 feet and a span of 40 feet. How high is the arch 8 feet from each side of the center?
Llana [10]

Answer:

The correct option is;

21 ft

Step-by-step explanation:

The equation of the parabolic arc is as follows;

y = a(x - h)² + k

Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)

We therefore have;

y = a(x - 20)² + 25

Whereby the parabola starts from the origin (0, 0), we have;

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The equation of the parabola is therefore;

y = (-\frac{1}{16})(x-20)^2 + 25

To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28

Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;

y = (-\frac{1}{16})(12-20)^2 + 25 = (-\frac{1}{16})(-8)^2 + 25 = 21 \ ft.

4 0
3 years ago
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Archy [21]

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Answer:

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