Answer:
y+4=-(2/5)(x-5) ----> equation of the line into point slope form
y=-(2/5)x-2 ----> equation of the line into slope intercept form
2x+5y=-10 ----> equation of the line in standard form
Step-by-step explanation:
step 1
Find the slope of the given line
we have
5x-2y=-6
isolate the variable y
2y=5x+6
y=2.5x+3
The slope m of the given line is m=2.5
step 2
Find the slope of the line perpendicular to the given line
We know that
If two lines are perpendicular, then their slopes are inverse reciprocal each other
so
m1=5/2
the inverse reciprocal is
m2=-2/5
step 3
Find the equation of the line into point slope form
y-y1=m(x-x1)
we have
m=-2/5
point (5,-4)
substitute
y+4=-(2/5)(x-5) ----> equation of the line into point slope form
y=-(2/5)x+2-4
y=-(2/5)x-2 ----> equation of the line into slope intercept form
Multiply by 5 both sides
5y=-2x-10
2x+5y=-10 ----> equation of the line in standard form
Answer:
57
Step-by-step explanation:
because all the angle of a triangle add up to 180
180-63-60=57
Answer:
<u>The retail price of the car is US$ 10,024 Rounding to the next whole</u>
Step-by-step explanation:
1. Let's check the information given to us to answer the question correctly:
Mark up the purchase price = 17.4%
Price of purchase of the car = $ 8,538
2. What is the retail price of the car at this dealership?
For calculating the retail price of the car, we will use the Rule of Three Simple, this way:
x = retail price of the car
x * 1 = 8,538 * 1.174
x = 10,023.61
<u>The retail price of the car is US$ 10,024 Rounding to the next whole</u>
Answer:
1.5
Step-by-step explanation:
30/20
Answer:

Step-by-step explanation:
The slope of a line is always rise over run.
To find the slope of this line, we are looking for two points that are on an integer x value and an integer y value.
One of these points is (-4, 1). Another one is (0, -2).
Studying the y-values of both (the rise), the change in y is
, and since we are going down, the change is
.
Studying the x values of both (the run), we can see that the rate of change is
.
So the rise over run will be
, or just
. This is also the slope as slope is rise over run.
Hope this helped!