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vfiekz [6]
3 years ago
11

Which equation best represents the line? (10 Points)

Mathematics
1 answer:
son4ous [18]3 years ago
7 0

Answer: D. y = 3x − 1

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the graph,

y2 = 2

y1 = - 1

x2 = 1

x1 = 0

Slope,m = (2 - - 1)/(1 - 0) = 3/1 = 3

To determine the intercept, we would substitute x = 1, y = 2 and m= 3 into y = mx + c

y = mx + c. It becomes

2 = 3 × 1 + c = 3 + c

c = 2 - 3 = - 1

The equation becomes

y = 3x - 1

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Convert 25/8 into a mixed number
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An arhitect wants to draw a rectangle with a diagonal of 20 inches. The length of the rectangle is to be 8 inches more than twic
kiruha [24]

The diagonal of a rectangle = sqrt(w^2 + l^2)

w = width

l = length

In this problem,

The diagonal = 20 in

w = x

l = 2x + 8

Let's plug our numbers into the formula above.

20in = sqrt((x)^2 + (2x + 8)^2)

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Set both terms equal to zero and solve.

x + 12 = 0

Subtract 12 from both sides.

x = -12

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Add 28 to both sides.

5x = 28

Divide both sides by 5

x = 28/5

The width cant be a negative number so now we know that the only real solution is 28/5

Let's plug 28/5 into our length equation.

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In conclusion,

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A 45 foot ladders leaning up against a building. The base of the latter is 20 feet away from the building. What is the angle of
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Please check for this in the attachment.

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Looking at what we have, we have the hypotenuse and the adjacent.

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Theta = Arc cos(0.444444444444444)

Theta = 63.61 degrees

8 0
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