Please help me find the measure of the arc

Mathematics

1 answer:

Scorpion4ik [409]2 years ago

3 0

124................................

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Is |4x+2|+6=0 no solution, all real numbers, 0, and 2

algol [13]

|4x + 2| + 6 = 0

Subtract 6 from each side: |4x + 2| = -6

But the absolute value of a number is always positive.
No value of 'x' can ever make |4x + 2| negative.

So the equation has no solution.

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3 years ago

Bryan owes Jennifer $15 he has $20 in his wallet use absolute value to decide if Bryan has enough money to pay Jennifer

Elina [12.6K]

Bryan does indeed have enough money to pay back Jennifer.
We have the 2 numbers -15 and 20. The absolute values of those numbers are 15 and 20.

All we have to do is subtrace 15 from 20. We have the result of positive 5, meaning Bryan will still have $5 left over.

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80 tickets have been given out

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3 years ago

Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)

Sedbober [7]

Answer: $\bold{y=-\dfrac{1}{3}x-1}$

Step-by-step explanation:

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\$

Next, find the midpoint of (4, 1) and (2, -5):

$Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)$

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

$y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\$

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2 years ago

What is dynamic environment?

jeka94

Answer:

A dynamic environment is a business environment that is rapidly changing. In a dynamic market, businesses have to adapt quickly to changes and develop new ideas, products and services to keep up with technology and new trends.

Step-by-step explanation:

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