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mr_godi [17]
3 years ago
8

Find the slope-intercept form of the line.

Mathematics
1 answer:
Reika [66]3 years ago
8 0
The slope-intercept is the first option, y=-3x-6
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A kite flying in the air has a 12 line attached to it. Its line is pulled taut and casts a 9 shadow. Find the height of the kite
alexira [117]

Answer:

8 (7.94)

Step-by-step explanation:

You can think of it as a geometry problem.

What is formed here is a triangle, which sides ate: the line, the line's shadow, and the height from the ground to the kite (here I attach a drawing).

What you need to find is the height. We will call it H.

As the triangle formed is a right one, we can use Pitágoras' theorem. The height H squared plus the squared of the shadow is equal to the squared of the line (the hypotenuse). This is:

H^2 + 9^2 = 12^2

H^2 + 81= 144

H^2 = 63

Applying squared root in both sides

H = √63

H = 7,94

So, the height is approximately 8.

4 0
4 years ago
What is x. Please show *all* the steps.
Zolol [24]

The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation

The value of x is 8 or 1

<h3>How to determine the value of x?</h3>

The equation is given as:

5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0

Rewrite as:

-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0

Take the  LCM

[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0

Expand

[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0

Evaluate the like terms

[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0

Multiply through by x^2 - 4

x^2 - 12x+ 3x + 8 = 0

Evaluate the like terms

x^2 -9x + 8 = 0

Expand

x^2 -x - 8x + 8 = 0

Factorize

x(x -1) - 8(x - 1) = 0

Factor out x - 1

(x -8)(x - 1) = 0

Solve for x

x = 8 or x = 1

Hence, the value of x is 8 or 1

Read more about equations at:

brainly.com/question/2972832

8 0
2 years ago
When the sides of the cube are scaled by a factor of k = 5, the volume increases
dlinn [17]

Answer:

wooooooooooooooooooooooooooo

7 0
3 years ago
10. Find the coefficient of x term in the expansion of (2x - 5)(x2 – 3x2 + 4).​
m_a_m_a [10]

Answer:coefficient of x term is 8

Step-by-step explanation:I(2x-5)(x2-3x2+4)

                                             (2x-5)(-2x2+4)

                                             -4x3+8x+10x2-20

                                        coefficient of x is 8

8 0
3 years ago
4. Tyson and his friends go ice skating. Tyson must pay an initial fee of $18.30 plus $4.80 per hour.
hjlf

Answer:

equation: c = 4.80h + 18.30, cost for four hours: (4, 37.5)

Step-by-step explanation:

the equation is c = 4.80h + 18.30 because 18.30, the initial cost, is the y-intercept and because each hour costs $4.80. the cost for four hours would be (4, 37.5) because it costs $37.5 to skate for four hours.

7 0
3 years ago
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