The equation of the perpendicular line to the given line is: y = -5/4x - 30.
<h3>What is the Equation of Perpendicular Lines?</h3>
The slope values of two perpendicular lines are negative reciprocal of each other.
Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.
Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.
Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:
20 = -5/4(-40) + b
20 = 50 + b
20 - 50 = b
b = -30
Substitute m = -5/4 and b = -30 into y = mx + b:
y = -5/4x - 30
The equation of the perpendicular line is: y = -5/4x - 30.
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Answer: B) x + y = 17
1.60x + 2.45y = 34
Step-by-step explanation:
Cost of x = $1.60 per pound
Cost of y = $2.45 per pound
Total pounds of x and y = 17
Cost per pound of mixture = $2
Total number of pounds of the mixture :
x + y = 17
Since the cost per pound of the mixture = 2
Hence ;
(Cost of x * number of pounds of x) + (Cost of y * number of pounds of y)
(1.60 * x) + (2.45 * y) = (cost per pound of mixture * total number of pounds of the mixture)
1.60x + 2.45y = 2 * 17
1.60x + 2.45y = 34
Answer:
A man borrows * 8000
He agrees to repay with a total interest of 1360 in 12 monthly instalments.
Each instalment being less than the preceding one by * 40
= 
x 40
= 12 x 34
= 408 (Ans)
Answer:
28π cm²
Step-by-step explanation:
The surface of a cylinder is given by the formula:
where r is the radius of the base, and h is the height.
Using the image, we can find that the radius of the cylinder would be 2 cm, and the height would be 5 cm.
Now, to find the surface area of the cylinder, we would have to plug in 2 for r (the radius of the base) and 5 for h (the height of the cylinder) into the formula for the surface area of a cylinder.
Now we plug in 2 for r and 5 for h for the equation for the surface area of a cylinder:
2π(2)(5) + 2π(2)² = 20π + 2π(4) = 20π + 8π = 28π
Remember, the radius and the height are given to us in cm, and w are solving for surface area, so the answer should be in cm² (square centimeters).
The surface area of the cylinder would be 28π cm².
28π cm² would be an exact answer. For the approximate answer, plug in 3.14 (most math classes use 3.14 to approximate π) for π.
I hope you find this helpful. :)
