Find the value of x that verifies that l ⊥ m.

Mathematics

1 answer:

Genrish500 [490]4 years ago

5 0

Answer:

X= 12

Step-by-step explanation:

Simplifying

4x + -2 = 46

Reorder the terms:

-2 + 4x = 46

Solving

-2 + 4x = 46

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.

-2 + 2 + 4x = 46 + 2

Combine like terms: -2 + 2 = 0

0 + 4x = 46 + 2

4x = 46 + 2

Combine like terms: 46 + 2 = 48

4x = 48

Divide each side by '4'.

x = 12

Simplifying

x = 12

You might be interested in

Decide whether the triangles are similar

Ne4ueva [31]

The first one

Similar - SSS theorem

second one

Similar - AAA theorem

last one

Similar - SAS theorem

5 0

3 years ago

Civil engineer wants to estimate the maximum number of cars that can safely travel on a particular road at a given speed. He ass

pychu [463]

$N(s)= \frac{89s}{14+14( \frac{s}{17})^2 }
\\
\\N'(s)= (\frac{89s}{14+14( \frac{s}{17})^2 } )'= \frac{89\times 14(1+( \frac{s}{17})^2)-89s\times \frac{28}{17} }{14^2(1+( \frac{s}{17})^2)} 
\\
\\N'(s)=0
\\
\\89\times 14(1+( \frac{s}{17})^2)-89s\times \frac{28}{17}=0
\\
\\1+( \frac{s}{17})^2- \frac{2s}{17} =0
\\
\\289+s^2-34s=0
\\
\\s^2-34s+289=0
\\
\\(s-17)^2=0
\\
\\s=17
$