Which of the following functions represents an absolute value function?

Mathematics

1 answer:

bagirrra123 [75]2 years ago

7 0

Y = |x - 21| represents an absolute value function.

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Solve for x. −5(x−4)=−30

Readme [11.4K]

Let's solve your equation step-by-step.−5(x−4)=−30

Step 1: Simplify both sides of the equation.−5(x−4)=−30
Simplify: (Show steps)−5x+20=−30

Step 2: Subtract 20 from both sides.−5x+20−20=−30−20−5x=−50

Step 3: Divide both sides by -5.−5x−5=−50−5x=10

Answer:x=10

8 0

2 years ago

Read 2 more answers

The figure below shows a straight line AB intersected by another straight line t:

BaLLatris [955]

When two straight lines intersect, the pairs of nonadjacent angles in opposite posi-tions are known as vertical angles.

If a segment AB is intersected by a transversal labeled t, then ∠1 and ∠3 and ∠2 and ∠4 are vertically angles formed by the transversal t on the segment AB.

Angles ∠1 and ∠2 can be described as adjacent and supplementary angles, so

$m\angle 1+m\angle 2=180^{\circ}$ .

Angles ∠3 and ∠2 can be also described as adjacent and supplementary angles, so

$m\angle 3+m\angle 2=180^{\circ}$ .

Subtract from the first equation the second equation:

$m\angle 1+m\angle 2-(m\angle 3+m\angle 2)=180^{\circ}-180^{\circ},\\ m\angle 1-m\angle 3=0,\\ m\angle 1=m\angle 3$ .

Similarly you can prove that $m\angle 2=m\angle 4$ .