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3 years ago

Which of the following inequalities have -8 in its solution set?

1 answer:

3 0

To determine when -8 is a solution, you will replace each variable with -8 and see which statements are true.

A. x + 4, -8 + 4<span> = -4, this is not in between 0 and 1
</span>B. x - 3, -8 - 3 = -11, not between -5 and 2
C. 8x + 7, 8(-8) + 7 = -57 is not between -1 and 1
D. 3x, 3(-8) = -24 is equal to -24, so this one is true

A. <span>5x, 5(-6) = -30 is not less than -35 or greater than 35
</span>B. 3x - 2, 3(-6) - 2 = -20 is not between -5 and 1
C. 3x + 5, 3(-6) + 5 = -13 is between -16 and 11
D. x - 5, -6 - 5 = -11 is not between -8 and 3

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A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the

GarryVolchara [31]

The bottom of the ladder is 10.5 feet away from the wall

Step-by-step explanation:

The given scenario forms a right triangle.

Where

The length of ladder will be the hypotenuse

The wall on which the window is situated will ebt he perpendicular and

The distance between the foot of ladder and the wall will be the base

So,

Hypotenuse = H = 20 foot

Perpendicular = P = 17 feet

Base = B = ?

Using the Pythagoras theorem

$H^2=P^2+B^2\\(20)^2=(17)^2+B^2\\400=289+B^2\\400-289=B^2\\B^2=111\\Taking\ square\ root\ on\ both\ sides\\\sqrt{B^2}=\sqrt{111}\\B=10.53\\Rounding\ off\ to\ the\ nearest\ tenth\\B=10.5$

The bottom of the ladder is 10.5 feet away from the wall

Keywords: Triangle, Pythagoras Theorem

Learn more about Pythagoras theorem at:

#LearnwithBrainly

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3 years ago

The sales tax for an item was 12.80 and it cost 320 before tax

Arlecino [84]

Answer:

Step-by-step explanation:

Divide the tax by the pre-tax price =

12.80/320 = .04 or 4%

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