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2 years ago

Find the slope of the line.

Mathematics

1 answer:

Lynna [10]2 years ago

5 0

Answer:

The slope is 2

Step-by-step explanation:

Given

$(x_1,y_1) = (2,9)$

$(x_2,y_2) = (-1,3)$

Required

The slope (m)

This is calculated as:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{3 - 9}{-1 - 2}$

$m = \frac{- 6}{-3}$

$m =2$

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X = y - 3

Leviafan [203]

The answer is A. (1, 4), because when the values are substituted in to the equations, you get 1 = 4 - 3 and 1 + 12 = 13, which are both correct. I hope this helps!

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3 years ago

A Rectangle is removed from a right triangle to create the shaded region below. Find the area of the shaded region be sure to in

Scorpion4ik [409]

The given shapes area is found to be 4 square yards.

Step-by-step explanation:

Step 1; To determine the area of an indefinite shape we must divide it into the shapes that we know. The shape that is given can be split into a triangle with a rectangle in it.

Step 2; Any given triangles area is half the multiplication of its base value and its height value. In the given diagram, the base of the triangle measures a length of 5 yards and the length from base to top is 4 yards

Area of the triangle = $\frac{1}{2}$ * base * height = $\frac{1}{2}$ * 5 * 4 = 10 square yards.

The given rectangle measures a length of 3 yards and a width of 2 yards. The area of any given rectangle is the multiplication of its length and width.

Area of the rectangle = Length * Width = 3 yards * 2 yards = 6 square yards.

Step 3; To find the total area of the shape we must subtract the the rectangle's area from the triangle's area.

Area of given shape = Area of the triangle - Area of the rectangle.

Area of given shape = 10 square yards - 6 square yards = 4 square yards.

7 0

3 years ago

What is the angle of rotation of the image? A. 60° B. 90° C.120° D. 180°

lisov135 [29]

Answer:

It would be great if you would provide the image itself. I will totally answer your question.

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3 years ago

What is always true about vertical lines

natta225 [31]

Answer:

Vertical lines have undefined (or no) slope always, so this is a true statement. To see why, look at a horizontal line (which is perpendicular). They have zero slope. That comes from the y = mx + b slope intercept form and their equation being y = b, and b is some number.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Solve: x=4+(4x-4)1/2 x = 2

Andreyy89

Answer:

No real solution- Not any of the options anyway

Step-by-step explanation:

So I replaced the x's with the two possible equations and then tried to solve...

2=4+(4x2-4)1/2

2=4+(8-4)1/2

2=4+(4)1/2

2=8(1/2)

2=4 Which is not true

10=4+(4x10-4)1/2

10=4+(40-4)1/2

10=4+36(1/2)

10=40(1/2)

10=20 Which is also not true

Therefore, there is no real solution

6 0

3 years ago