Are you asking the equation or the answer
Answer:
6.7 units
Step-by-step explanation:
The shortest distance between two lines is the perpendicular line.
y = 2x + 3
Slope of the perpendicular line: - 1/2
Point (-5,8)
b (y-intersect) = 8 - (-1/2)(-5) = 11/2
Perpendicular line equation: y = -1/2x + 11/2
y = y
2x +3 = -1/2x + 11/2
2x + 1/2x = 11/12 - 3
5/2x = 5/2
x = (5/2) / (5/2)
x = 1
Plug x = 1 into any of the equations of the line to find y.
y = 2x + 3
y = (2*1)+3 = 5
Points from the perpendicular line (1,5) and (-5,8)
Distance between these two points:
d = sqrt[(-5-1)^2 + (8-5)^2]
= sqrt (6^2 + 3^2) = sqrt 45
= 6.7
Which ratio is equal to 6/15 as a fraction
6/15
divide by 3
2/5
According to the question, the region is bounded by the curve with the given data as 
To compute the volume of the solid, use the disk method. The given object is rotated along the horizontal axis with the disk cross sectional area and the volume can be written as:
As per question, when x = 1 then the value of y is: y = 1
Now, substituting calculated values in the expression:
Substitute the value of the variable 'x':
Therefore, the expression can be written as:
To learn more about the integration from the given link:
<u>brainly.com/question/988162</u>
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Answer:
27/32 miles ^2
Step-by-step explanation:
A = length * width
A = 3/8 * 2 1/4
Change the mixed number to an improper fraction
2 1/4 = (4*2 +1)/4 = 9/4
A = 3/8 * 9/4 = 27/32
