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Lady_Fox [76]
3 years ago
14

Line m passes through points P(–1, 5) and Q(2, 3) on an xy-coordinate plane. Write an equation for the line that is perpendicula

r to line m at point P.
Mathematics
1 answer:
kap26 [50]3 years ago
7 0
Y = 3x + 2 glad i could help u
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Step-by-step explanation:

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Solve for x. 5 x − 19 ≤ 1 OR − 4 x + 3 < − 6
k0ka [10]

5x - 19 \leqslant 1

change

\leqslant  \: to \:  =

given you

5x - 19 = 1

making x the subject by transferring the -19 to the right hand side of the equation

5x = 19 + 1

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dividing through by 5

\frac{5x}{5}  =  \frac{20}{5}

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also given

- 4x + 3 < -  6

change the operation sign to =

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\frac{ - 4x}{ - 4}  =  \frac{ - 9}{ - 4}

x =  \frac{9}{4}

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How do I find out a mortgage payment on a home
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Follow the steps to find the area of the shaded region. 14 46 14
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The area of the shaded region is 8.1838. The area of the shaded region is calculated by subtracting the area of the triangle from the area of the sector of the circle.

<h3>How to calculate the area of the sector?</h3>

The area of the sector of a circle with a radius 'r' and an angle of sector 'θ' is

A = (θ/360) πr² sq. units

<h3>How to calculate the area of a triangle with an angle?</h3>

The area of the triangle with measures of two sides and an angle between them is

A = 1/2 × a × b × sinC sq. units

Where a and b are the lengths of sides and ∠C is the angle between those sides.

<h3>Calculation:</h3>

It is given that,

The area of the sector shown in the diagram is 78.6794 cm² and the area of the triangle is 70.4956 cm².

Then to calculate the area of the shaded region, subtract the area of the sector and the area of the triangle. I.e.,

Area of the shaded region = Area of the sector - Area of the triangle

⇒ 78.6794 - 70.4956

⇒ 8.1838 cm²

Therefore, the required area of the shaded region is 8.1838 sq. cm.

Learn more about the area of a sector here:

brainly.com/question/22972014

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