Answer:
Step-by-step explanation:
A line that is perpendicular to a reference line will have a slope that is the negative inverse of the reference line.
In this case, the reference line is y = -x - 1. It has a slope of -1. The negative inverse of this would be -(1/-1) = 1.
We can then write:
y = mx + b
y = 1x + b
To find b, enter the one given point that lines on the line, (-4,2).
y = 1x + b
y = 1x + b for (-4,2)
2 = 1(-4) + b
b = 6
The equation becomes y = x + 6
See attached.
Answer:
5h+5
5(h+1)
Step-by-step explanation:
Equivalent expressions are the ones that look different but are the same. As the statement says that mason works h number of hours during the 5 day week and 5 hours on the weekend, you can write the following expression:
5h+5
h= number of hours Mason works
Then, you can find the common factor to get an equivalent expression:
5(h+1)
According to this, the equivalent expressions are:
5h+5
5(h+1)
Answer:
length ≈ 0.599 feet
Step-by-step explanation:
volume = length³
0.215ft³ = length³
cube root both sides to isolate the length
∛(0.215ft³) = length
length ≈ 0.599 feet
Answer:
$132
Step-by-step explanation:
1) In this system of eqn x represents the price of washing cars and y represents the price of washing SUVs
2) From the given eqn,
y = (84 - 4x)/2
and
y = (126 - 3x)/5
equating both the equation,
(84 - 4x)/2 = (126 - 3x)/5
=> 210 - 10x = 126 - 3x
=> 7x = 84
=> x = 12
=> y = (84 - 48)/2 = 18
Hence the co-ordinate of intersection will be (12,18)
3) The total cost of 1 car and 1 suv = x + y = 12 + 18 = $ 30
4) The total earning of hour 3
= 5x + 4y
= 5.12 + 4.18
= 60 + 72
= $ 132
