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just olya [345]
2 years ago
10

The equation of line QR is x + 2y = 2. What is the equation of a line perpendicular to line QR in slope-intercept form that cont

ains point (5, 6)?
A) y = negative one halfx + seventeen halves
B) y = 2x − 4
C) y = negative one halfx + seven halves
D) y = 2x + 16
Mathematics
1 answer:
Elza [17]2 years ago
7 0

Answer:

y = 2x-4

Step-by-step explanation:

x + 2y = 2

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

First find the slope of the line

2y = -x+2

Divide by 2

y = -1/2x +1

The slope of this line is -1/2

We want a line that is perpendicular, which is the negative reciprocal

-1 /(-1/2) = 2

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 2x+b

Substitute the point into the line

6 = 2(5)+b

6 = 10+b

6-10 =b

-4=b

y = 2x-4

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<h3>How to find the area of a circle?</h3>

Suppose the circle has radius of 'r' units, then, its area is given as:

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Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

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For the given case, sanding being done needs to be equal to the area of the circular table, as it has to be done for whole table's surface, which is circular, and area of sanding done will be equal to the area of that circular table.

The area of table(diameter given as 6 ft) is: A = \pi \times (\dfrac{d}{2})^2 \approx 3.14 \times 6^2 = 113.04 \: \rm ft^2

Since Jesse does 5 sq. feet per hour, let she takes T hours time to finish sanding the table, then we have:

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(since 5 sq. feet in 1 hours, then in T hours, T times 5 sq. feet will be done which is equal to area of table, as in approx T hours, she finishes sanding the table)

Thus, it will take approx 22.61 hours for Jesse to finish sanding the table.

Learn more about area of circle here:

brainly.com/question/13056790

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