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Sergeeva-Olga [200]

3 years ago

7

What is the equation of the line that is parallel to the line y=5x+2 and passes through the point (1,-3)?

2 answers:

Lorico [155]3 years ago

8 0

Parallel = same slope.

Therefore the line must have a slope of a 5. So plug in (1,-3) into the equation and solve for b to get your line.

Y = 5x + b
-3 = 5(1)
-3 = 5 + b
-8 = b

Therefore your line is Y = 5x - 8

Maslowich3 years ago

5 0

Y = 5x + 2....slope here is 5. A parallel line will have the same slope.

y = mx + b
slope(m) = 5
(1,-3)...x = 1 and y = -3
now sub and find b, the y int
-3 = 5(1) + b
-3 = 5 + b
-3 - 5 = b
-8 = b

so ur equation is : y = 5x - 8

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Answer:

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A car has a windshield wiper on the driver's side that has total arm length of 10 inches. It rotates

son4ous [18]

Answer:

75.44 Square Inches

Step-by-step explanation:

The diagram of the problem is produced and attached.

To determine the area of the cleaned sector:

Let the radius of the larger sector be R

Let the radius of the smaller sector be r

Area of the larger sector $=\frac{\theta}{360}X\pi R^2$

Area of the smaller sector $=\frac{\theta}{360}X\pi r^2$

Area of shaded part =Area of the larger sector-Area of the smaller sector

$=\frac{\theta}{360}X\pi R^2-\frac{\theta}{360}X\pi r^2\\=\frac{\theta \pi}{360}X (R^2- r^2)$

From the diagram, R=10 Inch, r=10-7=3 Inch, $\theta=95^\circ$

Therefore, Area of the sector cleaned

$=\frac{95 \pi}{360}X (10^2- 3^2)\\=75.44$ Square Inches$

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3 years ago