Answer:
m = -1/2 and b = 6.5
Step-by-step explanation:
To find the slope of the original line segment, we have to do the change in y/the change in x:
(4-8)/(-5--3) = -4/-2 = 2
2 is the slope of the original line segment, but since this is the perpendicular bisector, we have to take the negative reciprocal of 2 so m = -1/2
To find b we substitute the values of x, y, and m into the equation. Let's use the x value of -3 and the y value of 8:
y = mx + b
8 = -1/2(-3) + b
8 = 3/2 + b
6.5 = b
Answer:
9/2 or 4.5
Step-by-step explanation:
You would factor a 5x out of the numerator sine there is a 5x in 5x^3, 10x^2 and 15x. when you factor, it should be 5x( x^2+2x+3). The 5x on top and bottom would then cancel out, leaving x^2+2x+3 as you answer.
Answer: 195 CM
Step-by-step explanation:
Volume: Length x Width x Height
“First we have to break it into 2 shapes”
“Let’s solve the top shape!!”
The length is 5 the width is 3 and the height is 4.
Volume = 5 x 3 x 4 = 60
Now the bottom shape
The length is 9 the Width is 5 and the Height is 3
The height isn’t given so we must do some math
Subtract the 7 from 4 = 7 - 4 = 3
Volume = 9 x 5 x 3 = 135
Finally, 135 + 60 = 195 cm
Answer:
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Step-by-step explanation:
