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3 years ago

Find the slope and y-intercept of the line that is parallel to y=−1/3x +5 and passes through the point (8,5)

Mathematics

1 answer:

vesna_86 [32]3 years ago

6 0

Answer:

Slope is -1/3 and y-intercept is 23/3

Step-by-step explanation:

Parallel lines share the same exact slope. This means that the line parallel to the equation y= -1/3x + 5 will have the same slope as it. Its slope is -1/3.

To find the y-intercept of the parallel line, substitute the slope -1/3 and the point (8,5) into the point slope form $y-y_1 = m(x-x_1)$ .

$y-y_1 =m(x-x_1)\\y-5=-\frac{1}{3}(x-8)\\y-5=-\frac{1}{3}x + \frac{8}{3}\\y=-\frac{1}{3}x +\frac{23}{3}$

The y-intercept is 23/3.

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3 years ago

Can someone help me answer this Fraction word problem and give step by step how to give the answer?

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This answer maybe long, but it includes all the essential steps to make it easy
This problem shows that the fraction of the time worked by three individuals need to be = to one person working full time.
It just means that the fractions need to add up to one. Since we got to know that one person works 1/2 the time on the project and the other works 1/3 of the time, let us use a variable to represent the amount of time the last person needs to work to have a total of 1.
This is quite easy:
variable = t(representative of the last person)
step 1: 1=1/2+1/3+t
step 2: keep the variable alone at one side
1-1/2-1/3=t
this step on a calculator will be easy, but dont have a calculator? Thats fine!
Lets have a common denominator
2 and 3 can be 6
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3 years ago

Need a quick answer please

Olenka [21]

Step-by-step explanation:

2x + 5 = I / 2 ×16

2x=3

x=3/2

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3 years ago

Find the area enclosed by the figure. Use 3.14 for π. (The figure is not to scale).<br><br>

gtnhenbr [62]

Answer:

97.27 yd²

Step-by-step explanation:

First let's find the area of the right triangle on the left side. To do that, multiply 6x5, then divide the product by 2, since a right triangle is half a rectangle.

6x5=30

30/2=15

Area of triangle=15 yd²

Find area of the middle rectangle. So multiply the length by the width.

9x6=54

Area of rectangle=54 yd²

Find area of the half circle. Formula for area of circle is $A=\pi r^{2}$ . Pi is about 3.14, and radius ( $r$ ) is 3. Radius is half of the diameter of circle, and the 6 on the left says the diameter of circle.

$\pi$ x $3^{2}$ ≈28.27

Area of circle is about 28.27 yd²

Add up the three areas.

15+54+28.27=97.27

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3 years ago

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