It's the rectangle, if we rotate it about y-axis, it would create a cylinder..
The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).
<h3>What is a circle?</h3>
It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.
x = 2y + 5 ...1
x² + y² = 5 ...2
If the intersection of the point of the circle and line is one. Then the line is tangent to the circle.
Then from equations 1 and 2, we have
(2y + 5)² + y² = 5
4y² + 25 + 20y + y² - 5 = 0
5y² + 20y + 20 = 0
5y² + 10y + 10y + 20 = 0
5y (y + 2) + 10(y + 2) = 0
(5y + 10)(y + 2) = 0
y = -2, -2
Then the value of y is unique then the value of x will be unique.
The value of x will be
x = 2(-2) + 5
x = -4 + 5
x = 1
The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).
More about the circle link is given below.
brainly.com/question/11833983
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Answer: C: Expression B and D
Step-by-step explanation:
Say the item is $100. 20% of 100 is equal to 100 (20/100)
When you simplify, it equals 20. So 20% of 100 is 20. This $20 is the amount of discount you receive.
So you have to subtract $20 from the $100 to find the sale price. The sale price is $80.
Now plug in 100 for p in each equation. The equation that equals 80 is the answer.
Only equation B and D equals 80 when 100 is plugged in.
The answers to the questions are:
- a. $33,750
- b. $36000
- c. $90000
a. <u>the straight-line method of depreciation</u>
= (240000 - 60000) / 4 * (9 / 12)
= $33,750
The debit is 33750 as well as the credit
b. <u> the units-of-production method of depreciation</u>
(240000 - 60000) / 60000 * 12000
= $36000
c. <u>the double-declining balance method of depreciation</u>
(24000 *2 /4) * (9/12)
= $90000
Read more on depreciation here: brainly.com/question/1203926
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