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lawyer [7]
2 years ago
12

State the equation for each of the lines on the following graph?

Mathematics
1 answer:
Arlecino [84]2 years ago
5 0

The equation of the lines are as follows;

  • y = -3x + 5
  • y = 6 / 5 x - 6
  • y = 6

<h3>How to find the equation of a line?</h3>

The equation of a line can be represented as follows;

y = mx + b

where

  • m = slope
  • b = y-intercept

Therefore, using the points,

(1, 2)(3, -4)

m = -4 - 2 / 3 - 1 = -6 / 2 = -3

2 = -3(1) + b

b = 2 + 3

b = 5

y = -3x + 5

(0, -6)(5, 0)

m = 6 / 5

Therefore,

-6 = 6 / 5(0) + b

b = -6

y = 6 / 5 x - 6

(0, 6)(1, 6)

m = 6 - 6 / 1 - 0 = 0

6 = 0(0) + b

y = 6

learn more on equation of a line here: brainly.com/question/26266144

#SPJ1

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How many four digit numbers (0 to 9,999)
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4 0
3 years ago
The length of a rectangle is 10 feet more than the width. The area of the rectangle is 96 square feet. Find the dimensions of th
alexandr1967 [171]

Answer: The dimensions of the rectangle are 6ft and 16ft.

Step-by-step explanation:

Let the width of the rectangle be y

Let the length of the rectangle be y+10

Area= 96ft

Since area of a rectangle is length multiplied by width

y(y+10) = 96

y^2 +10y =96

y^2 +10y -96= 0

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y^2 +16y - 6y - 96= 0

y(y+16) - 6(y+16)= 0

(y-6)(y+16)= 0

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Recall that the width was denoted as y. That means the width is 6ft.

Since length is y+10= 6+10 = 16ft

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7 0
3 years ago
Read 2 more answers
Find the area.
coldgirl [10]
We need to split this shape into different shapes. I am going to split it into 2 rectangles, and one triangle. The first thing I am going to do is the triangle. A triangle has an area of 1/2 b*h. Since 25 is the base of the figure, and 16 is the top portion where the triangle dips, we will subtract 16 from 25 to find the base of the triangle. The base is 9. Now we will find the height using the same method with the 23 and the 14. Our height is 9. 9*9 = 81 * 1/2 = 40.5. The area of our triangle is 40.5.

Next I will move on to the bigger rectangle. I am going to create a line where the 16 cm stops on the right hand side. This makes our base 16 cm and the height 23. 16 * 23 is 368. The area of this rectangle is 368

And now for our final rectangle. The base for this one is the same as the base of our triangle, so it is 9. The height of this one is 14. 9 * 14 =126. The area of this rectangle is 126. 

Now we need to add these all together. 
368 + 126 + 40.5 = 534.5 cm^2
8 0
3 years ago
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