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Over [174]
3 years ago
6

What is z over 3 = 20

Mathematics
1 answer:
atroni [7]3 years ago
7 0

Answer:

z = 60

Step-by-step explanation:

z/3 = 20. (Multiply both sides by 3 to isolate ‘z’)

20 • 3 = 60

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Read 2 more answers
Write the slope-intercept form of the equation of the line that is perpendicular to and passes through Point X. Show all work fo
Semmy [17]

Answer:

y =\dfrac{12}{5}x + 22

Step-by-step explanation:

Slope-intercept form of line:

First find the slope of the line AB. ie, m

Slope of the perpendicular line = -1/m

(2 , 3)  ⇒ x₁ = 2 & y₁ = 3  

(-10, 8)  ⇒ x₂ = -10 & y₂ = 8

\boxed{Slope=\dfrac{y_2-y_1}{x_2-x_1}}

          = \dfrac{8-3}{-10-2}\\\\=\dfrac{5}{-12}\\\\=\dfrac{-5}{12}

\sf slope \ of \ the \ perpendicular \ line \ m_1 = \dfrac{-1}{m}= -1 \ \div \dfrac{-5}{12}

                                                   \sf = -1 * \dfrac{12}{-5}=\dfrac{12}{5}

Equation of the required line: y = mx + b

       y =\dfrac{12}{5}x+b

The line passes through (-5 , 10). Substitute in the above equaiton,

         10 =\dfrac{12}{5}*(-5) + b\\\\ 10 = (-12) + b\\\\

 10 + 12 = b

        b   = 22

Equation of the line:

  y =\dfrac{12}{5}x + 22

3 0
2 years ago
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