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9966 [12]
2 years ago
12

What is the slope of the line that passes through the points (48, 10) and (-36, 17)?

Mathematics
1 answer:
schepotkina [342]2 years ago
4 0

Answer:

y = m x + b      equation of a straight line

m = (y2 - y1) / (x2 - x1)     slope of line

m = (17 - 10) / (-36 - 48) = 7 / -84 = -1 / 12

y = -x / 12 + b     equation of line

Or b = y + x / 12

If y =  10 and x = 48 then    b = 10 + 48 / 4 = 14

if  y = 17 and x = -36 then b = 17 - 36 / 12 = 14

So b = 14 and   y = -x / 12 + 14

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the perimeter of a square is equal to the perimeter of an equilateral triangle the length of a side of the square is given by th
diamong [38]

Answer:

x = 3

Step-by-step explanation:

We are told that the length of a side of the square is x.

Now, perimeter of square = 4 × side length

Perimeter of square = 4x

Also,we are told that the triangle is equilateral and a side is (x + 1).

Thus, perimeter of triangle = 3(x + 1)

Since we are told that the perimeter of the square is equal to that of the equilateral triangle. Thus;

4x = 3(x + 1)

4x = 3x + 3

Subtract 3x from both sides to get;

4x - 3x = 3

x = 3

5 0
3 years ago
Which equation could be used to find the area in square inches of a circle with a radius of 8 inches?
zzz [600]

Answer:

201.06 square inches.

Step-by-step explanation:

The equation to use to find the Area of a circle is given as

πr²

Where r = radius of the circle

In the question, we are given the radius of the circle = 8 inches

Area of the circle = π × 8²

= 201.06 square inches.

4 0
2 years ago
LAST OF MY GEOMETRY PLZ HELP
makvit [3.9K]

Answer:

Step-by-step explanation:

14) 2x - 10 = 80       {alternate interior angles are equal}

     2x = 80 + 10

      2x = 90

        x = 90/2

       x = 45°

15) 3x + 120 = 180    { co interior angles are supplementary}

     3x = 180 - 120

      3x = 60

        x = 60/3

        x = 20°

16) 3x + 15 = 135     {corresponding angles are equal}

      3x = 165 - 15

       3x = 150

          x = 150/3

          x = 50°

4 0
3 years ago
The height of a parallelogram is 5 feet more than it's base. If the area of the parallelogram is 204 square feet, what is its ba
siniylev [52]
The base is x.
The height is 5 feet more than the base, so it's x+5.
The area of a parallelogram is the product of its base and its height. The area is 204 square feet.

x(x+5)=204 \\
x^2+5x=204 \\
x^2+5x-204=0 \\
x^2+17x-12x-204=0 \\
x(x+17)-12(x+17)=0 \\
(x-12)(x+17)=0 \\
x-12=0 \ \lor \ x+17=0 \\
x=12 \ \lor \ x=-17

The length of the base of a parallelogram must be a positive number, so x=12.

\hbox{the base:} \\ x=12 \\ \\
\hbox{the height:} \\ x+5=12+5=17

The base is 12 feet long, the height is 17 feet long.
8 0
3 years ago
The midpoint of AB is (-4,7) and point A is
levacccp [35]
Ok so, this one is a confusing one for me but what I recomend is going on a website call desmos , they have a graphing area there and use y=-4x-7 if I’m right, I do not know so don’t trust me on this
4 0
3 years ago
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