Answer:
4.5 and 1.5
Step-by-step explanation:
4.5+1.5=6
4.5-1.5=3(difference)
Slope-intercept form:
y = mx + b "m" is the slope
First i would isolate the "y" in the equation.
2x + y = 4 Subtract 2x on both sides
2x - 2x + y = 4 - 2x
y = 4 - 2x or y = -2x + 4
The given line's slope is -2.
For lines to be perpendicular, their slopes have to be the opposite/negative reciprocals (flipped sign and number)
For example:
slope is 2
perpendicular line's slope is -1/2
slope is -2/3
perpendicular line's slope is 3/2
The given line's slope is -2, so the perpendicular line's slope is 1/2.
The 3rd option is your answer
Answer:
Simplifying
(20m + 3) + -1(7m + -5) = 0
Reorder the terms:
(3 + 20m) + -1(7m + -5) = 0
Remove parenthesis around (3 + 20m)
3 + 20m + -1(7m + -5) = 0
Reorder the terms:
3 + 20m + -1(-5 + 7m) = 0
3 + 20m + (-5 * -1 + 7m * -1) = 0
3 + 20m + (5 + -7m) = 0
Reorder the terms:
3 + 5 + 20m + -7m = 0
Combine like terms: 3 + 5 = 8
8 + 20m + -7m = 0
Combine like terms: 20m + -7m = 13m
8 + 13m = 0
Solving
8 + 13m = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 13m = 0 + -8
Combine like terms: 8 + -8 = 0
0 + 13m = 0 + -8
13m = 0 + -8
Combine like terms: 0 + -8 = -8
13m = -8
Divide each side by '13'.
m = -0.6153846154
Simplifying
m = -0.6153846154Step-by-step explanation:
a) Volume of Rectangular prism is 
b) Volume of cube is 
c) Volume of cube is 
d) Volume of Rectangular prism is 
Step-by-step explanation:
Part a)
Volume of rectangular prism with
length= 
width= 
height = 
The formula used to find Volume of rectangular prism is:

Putting values:

So, Volume of Rectangular prism is 
Part b)
Volume of cube with side length of 
The formula used to find Volume of cube is:

Putting value of length and finding volume:

So, Volume of cube is 
Part c)
Volume of cube with side length of 
The formula used to find Volume of cube is:

Putting value of length and finding volume:

So, Volume of cube is 
Part d)
Volume of rectangular prism with
length= 
width= 
height = 
The formula used to find Volume of rectangular prism is:

Putting values:

So, Volume of Rectangular prism is 
Keywords: Volume
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