First we look for the area of the triangle which is given by:
A = (1/2) * (4) * (6)
A = 12 feet ^ 2
Area of the rectangles:
Rectangle 1:
R1 = (4) * (8)
R1 = 32 feet ^ 2
Rectangle 2:
R2 = (6) * (8)
R2 = 48 feet ^ 2
Rectangle 3:
R3 = (root (6 ^ 2 + 4 ^ 2)) * (8))
R3 = 57,68882041 feet ^ 2
The total area will be:
A = 2A + R1 + R2 + R3
Substituting values:
A = 2 * (12) + 32 + 48 + 57,68882041
A = 161.6888204 feet ^ 2
Answer:
The total area of the prism is:
A = 161.6888204 feet ^ 2
Hi Student!
This question is fairly simple because it gives us an equation and they also give us a value for the variable that is within the equation and they tell us evaluate the expression. So let's plug in the values and solve.
<u>Plug in the values</u>
<u>Factor out the exponent</u>
<u>Combine</u>
Therefore, the final answer that we would get when substituting m with 9 in the given equation is that we get 86.
Answer:
The difference in slopes of
is = 3
We can say slope of
is positive and 3 more than slope of
while slope of
is negative.
Difference of y-intercepts of
is = -7
We can say the y-intercept of
is positive and 7 units above
while y-intercept of
is negative.
Step-by-step explanation:
Given equation:


We need to find the difference of slopes and y-intercepts of the given equations.
The standard form of a slope intercept equation of line is given by:

where
represents slope and
represents y-intercept of line.
Writing the given equations in standard form to find slope and y-intercept.

Slope = 2 and y-intercept =-2

Slope = -1 and y-intercept =5
The difference in slopes of
is = 
We can say slope of
is positive and 3 more than slope of
while slope of
is negative.
Difference of y-intercepts of
is = 
We can say the y-intercept of
is positive and 7 units above
while y-intercept of
is negative.
Answer:
y = 3x - 8
Step-by-step explanation:
The answer is 1,4 therefore y = 1x - 4