Answer: y = − 3/2 x + 8
Step-by-step explanation:
Find the Perpendicular Line
Solve −2x + 3y = −6.
y = −2 + 2x/3
Find the slope when y = −2 + 2x/3 .
m = 2/3
The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.
perpendicular = 
Simplify to find the slope of the perpendicular line.
perpendicular = −3/2
Find the equation of the perpendicular line using the point-slope formula.
y + 1 = − 3/2
⋅ (x − 6)
Write in y = mx + b form.
y = − 3/2 x + 8
Answer:
18 dollars per hour
Step-by-step explanation:
Answer:
The given statement is FALSE.
Step-by-step explanation:
If the original expression is defined for all values of x , then this implies there is no real value of x such that the original expression is not defined.
Hence, the original expression has domain all real values x
Now, the simplified form which is obtained by simplifying the original expression may not have the same domain as the original expression.
So, if original expression is defined on some value of x then it might be possible that the simplified expression may not be defined on that value of x.
So, we need to specify the absolute value in the simplified expression.
Hence the given statement is FALSE.
Answer:
QR = 48 units
Step-by-step explanation:
in a rectangle, opposite sides are equal
so QR = PS and QP = RS
also we know that the sum of all sides is the perimeter, which is 176
we can set up this equation:
2(5z - 2) + 2(4z) = 176
10z - 4 + 8z = 176
18z - 4 = 176
18z = 180
z = 10
QR = 5z - 2
we can substitute 10 for 'z' to get:
5(10) - 2 = 50 - 2 or 48
Check:
2(48) + 2(40) = 176
96 + 80 = 176
176 = 176
1/10 of 1,700,000 of anything =
0.1 x 1,700,000 = <em>170,000</em> of them.
