Answer:
Option C
Step-by-step explanation:
Since, Y and Z are the midpoints of sides AB and CD of the given trapezoid.
Segment YZ will the midsegment of trapezoid ABCD.
By the theorem of midsegment,
m(YZ) = 
By using expression for the length of a segment between two points,
Length of a segment = 
Distance between two points A(-5, -6) and D(3, 2),
AD = 
AD = 
AD = 
AD = 
Distance between B(-6, -2) and C(-4, 0)
BC = 
BC = 
BC = 
Therefore, m(YZ) = 
= 
= 
Option C will be the answer.
Answer:
-20x / (x-12) = y
Step-by-step explanation:
3/x - 5/y = 1/4
Multiply each side by 4xy to clear the fractions
4xy ( 3/x - 5/y = 1/4)
Distribute
12y - 20x = xy
Subtract 12y from each side
-20x = xy -12y
Factor out y
-20x = y(x-12)
Divide each side by (x-12)
-20x / (x-12) = y
Answer:
It's exponential and the fiftth option, y = 128(1/2)^x
Step-by-step explanation:
Answer:
376.991 cm²
Step-by-step explanation:

Surface Area = 2π(5²) + 2π(5)(7)
= 50π + 70π
= 120π
= 376.9911184... ≈ 376.991
<h2>Derive Surface Area of A Cylinder</h2>
If you take a look at a net of a cylinder, you can see it is composed of two circles(bases) and a rectangular strip with the length of the diameter of the circle
The formula for the area of a circle = πr², and since there are 2, it is 2πr²
The formula for circumference of a circle = 2πr, and since we are multiplying that by the height by the height of the cylinder, it is 2πrh
∴ 2πr² + 2πrh
So 3 parts pineapple juice to 5 parts orange juice
That is a total of 8 parts
the pineapple is 3/8 of the pitcher
the orange juice is 5/8 of the pitcher