Hey there!!
Equation given :
A = h ( a + b ) / 2
Multiply by 2 on both sides
2A = h ( a + b )
Divide by h on both sides
2A / h = a + b
Subtract by b on both sides
2A / h - ( b ) = a
Hence, the option ( a ) is the correct answer
Hope my answer helps!
Answer:Second Step
Step-by-step explanation:
On the right side in step two you added -3b-15b, and ended up with -12b. This is incorrect. -3b-15b is actually -18b
Answer:
<em>The lines are perpendicular. </em><em>Option B.</em>
Explanation:
<u>Equation of the Line</u>
One of the characteristics of the line is its slope. It can be determined in two ways:
* From the equation y=mx+b, the m is the slope. The given equation is y=4x-5. Thus, the slope of this line is m=4.
* Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

The points are (3,4) and (7,3), thus the slope is:

A. For two lines to be parallel, their slopes must be equal. Since m1=4 and m2=-1/4, the lines are not parallel. Incorrect
B. For two lines to be perpendicular, their slopes must meet the condition:

4*(-1/4)=-1
Both lines are perpendicular. Correct choice
D. Since choice B. is correct, this cannot be true. Incorrect
Answer:
10 feet
Step-by-step explanation:
Given,
Volume of right cylinder = 2000 π cubic feet.
Length ( l ) = 20 feet
To find : Radius ( r )
Formula : -
Volume of right cylinder = πr²h
πr²h = 2000 π
Divide π on both sides,
r²h = 2000
r² = 2000 / h
r² = 2000 / 20
r² = 100
= 10 x 10
r²= 10²
r = 10 feet
Hence,
the radius is 10 feet.
Ok so i would do 4x7x3 which equals 84
brainest:)