In this item, we are not given with the figure but knowing that these lines ought to be perpendicular then we will be able to derive the relationship between the slopes of the line.
The slopes of the perpendicular line are the negative reciprocals of one another. If we represent the slopes of the lines as m₁ and m₂, the relationship can be written in the form,
(m₁)(m₂) = -1
We are given with one of the slopes. To determine the value of the second slope then,
m₂ = -1/m₁
m₂ = -1/(2/5)
m₂ = -5/2
<em>ANSWER: m₂ = -5/2</em>
Answer:
The slope of line e is -5/6
Step-by-step explanation:
The slope of line d that passes through (3,4) and (8,10) is 6/5. To find the slope of a perpendicular line you simply change the sign and flip the numerator and denominator.
This is the concept of volumes of solid figures;
To calculate for the volume of material required we calculate for the volume of the pyramid;
volume of the pyramid is given by:
volume=(length*width*height)/3
but in our case the base of the pyramid is square, therefore:
length=width=2 ft
height=6 ft
hence;
volume=(2*2*6)/3
volume=8 ft^3
The answer is 8 ft^3
Answer:
Problem 13: yes
Problem 14: no
Step-by-step explanation:
Problem 13:
Plug the values of x and y to solve.
-23 = -7(5) + 12
-23 = -35 + 12
-23 = -23
The values are equal, so the coordinates <u>do</u> solve the equation. It's a yes.
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Problem 14:
Plug the values of x and y to solve.
-9 = -7(-3) + 12
-9 = 21 + 12
-9 = 33
The values are not equal, so the coordinates <u>do not</u> solve the equation. It's a no.
hope this helps :)
Answer:
Step-by-step explanation:
Solve the value of 
:
-Combine like terms:
-Take 
and subtract it from 
:
-Add 
on both sides:
-Divide both sides:
So, therefore, the value of is 
.
