Answer:
y = 3x - 2
Step-by-step explanation:
Use the point-slope equation since we are given a point that the line passes through and its slope:
y - y1 = m(x - x1)
(-2, -8), m = 3
Substitute these values into the equation.
- y - (-8) = 3(x - (-2))
- y + 8 = 3(x + 2)
- y + 8 = 3x + 6
- y = 3x - 2
The equation of the line that passes through the point (-2, -8) and has a slope of 3 is y = 3x - 2.
Answer:
Perimeter: 2(3x+6)+ 2(2x-4)
X=9
Step-by-step explanation:
In order to create the expression you just have to remember that the perimeter of a rectangle equals 2 bases plus 2 sides, so the expression would be:
Perimeter: 2(heights)+ 2(bases)
Perimeter: 2(3x+6)+ 2(2x-4)
IN order to solve for X we just have to insert the value of perimeter, which is 94:
Perimeter: 2(3x+6)+ 2(2x-4)
94=2(3x+6)+ 2(2x-4)
94= 6x+12+4x-8
94=10x+4
94-4=10x
x=90/10
x=9
So the value of x would be 9.
Answer:
because the length is 4 feet more than the width
=> the length is x + 4 (feet)
because the base has an area of 21 square feet
=> x(x + 4) = 21
<=> x² + 4x = 21
You can use the distance formula: d = sqrt((second x value - first x value)^2 + (second y value - first y value)^2):
answer : d = sqrt((3+2)^2+(6+6)^2) = 11.95826074 units
