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tankabanditka [31]
3 years ago
12

Find the value of x. (6x+8) (7x-7)

Mathematics
1 answer:
dimaraw [331]3 years ago
3 0

Answer:95

Step-by-step explanation:

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Graph each linear equation that passes through the given pair of points. Use graph paper.
Naya [18.7K]

Answer:

The easier way to solve this is to find the two points in the coordinate axis, and just draw a line that passes through the two points.

But let's be more complete:

Let's find the equations for each line:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

1) Here the points are (2,2) and (4,5)

then the slope is:

a = (5 - 2)/(4 - 2) = 3/2

y = (3/2)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (2, 2)

2 = (3/2)*2 + b

2 = 3 + b

2 - 3 = b

-1 = b

y = (3/2)*x - 1

2) Here the points are (0,1/2) and (2,3/2)

then the slope is:

a = (3/2 - 1/2)/(2 - 0) = 1/2

y = (1/2)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (0, 1/2)

1/2 = (1/2)*0 + b

1/2 = b

y = (1/2)*x + 1/2

3) Here the points are (-1,2) and (5,0)

then the slope is:

a = (0 - 2)/(5 + 1) = -1/3

y = (-1/3)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-1, 2)

2 = (-1/3)*-1 + b

2 = 1/3 + b

2 - 1/3 = b

5/3 = b

y = (-1/3)*x + 5/3

4) Here the points are (-5,-3) and (-3,5)

then the slope is:

a = (5 + 3)/(-3 + 5) = -4

y = -4*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-3, 5)

5 = -4*-3 + b

5 = 12 + b

5 - 12 = b

-7 = b

y = -4*x - 7

Now that we have all the equations, we can find the graphs.

where the colors are:

(4) green

(3) orange

(2) Blue

(1) Gray.

6 0
3 years ago
Roger owns a one-acre piece of land. The length of the land is 484 feet. What is the width of his property?
shepuryov [24]

Answer:

W = 90 ft

Step-by-step explanation:

1 acre = 43,560 ft^2

A (area) = L (length) x W (width),

L = 484

A = 43560

W = A/L

= 43560/484

= 90 ft

8 0
3 years ago
Find the area of an eqilateral triangle with the side of 6 inches
Elenna [48]

Answer:

The area of an equilateral triangle with the side of 6 inches = 15.59 inches²

Step-by-step explanation:

Formula:-

Area of equilateral triangle = √3a²/4  

Where 'a' is the side of equilateral triangle.

<u>To find the area of given triangle</u>

Here side a = 6 inches

Area = √3a²/4  

  = (√3 * 6²)/4

 = (1.73 * 36)/4  = 1.73 * 9 = 15.59 inches²

7 0
3 years ago
What is 8,792 as a fraction?
Wittaler [7]

We have a number 8.792.

To write it as a fraction first count the number of decimals and call it n (which, in our case, has a value of 3). Multiply the number with 10^n to get 8792. Then divide this number by 10^n to get \frac{8792}{10^n} from here you can either simplify (if the assignment says so, then the simplified fraction is \frac{1099}{125}) or not.

Hope this helps.

6 0
3 years ago
How do you solve this equation 5/2c = 8 1/3
OLga [1]

Answer:

all work is shown and pictured

8 0
3 years ago
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