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2 years ago

Please use the picture below to find our what x equals

Mathematics

2 answers:

jek_recluse [69]2 years ago

6 0

Answer:

45 degrees

Step-by-step explanation:

Basile [38]2 years ago

5 0

Answer:

60 degrees

Step-by-step explanation:

The full angle is supplementary (180 degrees) so you just do

180-(90+30)

180-120

x=60

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2 years ago

Find the volume of this

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37.8 yd^3

Step-by-step explanation:

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2 years ago

9. Are there any outliers in the data from question #7?

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1 year ago

Solve the equations for all values of x by completing the square x^2+62=-16x

lorasvet [3.4K]

Answer:

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Step-by-step explanation:

To complete the square, we first have to get our equation into $ax^2 + bx = c$ form.

First we add 16x to both sides:

$x^2 + 16x + 62 = 0$

And now we subtract 62 from both sides.

$x^2 + 16x = -62$

We now have to add $(\frac{b}{2})^2$ to both sides of the equation. b is 16, so this value becomes $(16\div2)^2 = 8^2 = 64$ .

$x^2 + 16x + 64 = -62+64$

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because $8\cdot8=64$ and $8+8=16$ .

$(x+8)^2 = -62 + 64$

We can now take the square root of both sides.

$x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}$

We can now isolate x on one side by subtracting 8 from both sides.

$x = \pm\sqrt{2} - 8$

So our solutions are

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Hope this helped!

4 0

2 years ago

Find the slope of the line that passed though the two points (0,5) and (-9, -4)

OverLord2011 [107]

To find the slope, use the slope(m) formula:

$m=\frac{y_2-y_1}{x_2-x_1}$ and plug in the two points

(0, 5) = (x₁, y₁)

(-9, -4) = (x₂, y₂)

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-4-5}{-9-0}$

$m=\frac{-9}{-9}$ [two negatives cancel each other out and become positive]

m = 1 The slope is 1

6 0

2 years ago