Points (1, 7) and (-3, 2)
Slope for a line between (x₁, y₁) and (x₂, y₂) , m = (y₂ -y₁) / (x₂- x₁)
The slope for the line joining the two points = (2 - 7) / (-3 - 1) = -5/-4
Slope = 5/4
Hence the perpendicular bisector would have a slope of -1/(5/4) = -4/5
By condition of perpendicularity
For points (1, 7) and (-3, 2),
Formula for midpoints for (x₁, y₁) and (x₂, y₂) is ((x₁ +x₂)/2 , (y₁+ y₂)/2)
Midpoint for (1, 7) and (-3, 2) = ((1+ -3)/2 , (7+2)/2) = (-2/2, 9/2)
= (-1, 9/2)
Since the slope of perpendicular bisector is -4/5 and passes through the midpoint (-1, 9/2)
Equation y - y₁ = m (x - x₁)
y - 9/2 = (-4/5) (x - -1)
y - 9/2 = (-4/5)(x + 1)
5(y - 9/2) = -4(x + 1)
5y - 45/2 = -4x - 4
5y = -4x - 4 + 45/2
5y + 4x = 45/2 - 4
5y + 4x = 22 1/2 - 4 = 18 1/2
5y + 4x = 37/2
10y + 8x = 37
The equation of the line to perpendicular bisector is 10y + 8x = 37
A because it makes more sense
Answer:
30cm
Step-by-step explanation:
Divide the circumference by π, or 3.14 for an estimation.
29.9 so closest 30cm
Answer:
x = 1
Step-by-step explanation:
Answer:f(x) is the total number of miles he runs during each month. He starts with 0.5 miles and adds (+) 2 miles each month. Therefore, x must be the number of months. For example, month 1 (x) he runs 2.5 miles: 2.5 = 0.5 + 2(1); x=1.
Answer:
y = 6
x = 4
Step-by-step explanation:
to evaluate this system of equation using substitution method, we would say that let
-4x+6y=20................................... equation 1
4x-3y=-2................................................................... equation 2
from equation 1
-4x+6y=20................................... equation 1
-4x = 20 -6y
divide both sides by -4
-4x/-4 = 20- 6y/-4
x = -( 20 - 6Y)/4............................................................ EQUATION 3
Substitute the value of x into equation 2
4x-3y=-2................................................................... equation 2
4 ( 20 - 6y)/-4 - 3y = -2
- (20 - 6y) - 3y = -2
-20 + 6y -3y = -2
collect the like terms
6y -3y = -2 + 20
3y = 18
divide both sides by the coefficient of y
3y/3 = 18/3
y = 6
substitute the value of y = 6 into equation 3
x = -( 20 - 6Y)/4............................................................ EQUATION 3
x = 20 -6(6)/-4
x = 20 - 36/-4
x = -16/-4
x = 4
therefore the value of x and y is 4 and 6 respectively.
