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2 years ago

Solve for d. -2 – 9d = -10d - 9

Mathematics

1 answer:

geniusboy [140]2 years ago

7 0

Answer:

d = -9

Step-by-step explanation:

-2 - 9d = -10d - 9 (combine liked terms)

+2 +2 (added two to each side)

-9d = -10d - 9 (combined liked terms again for d this time)

+10d +10d

1d = -9 (isolate x so divde one from each side)

d = -9

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Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing v

34kurt

Answer:

a) The coordinates of the missing vertex = (7, 8)

b) Area = 18 square units

Perimeter = 18 units

Step-by-step explanation:

a) We know three of the four vertices:

A: (4, 2) C ______ D(?)

B: (7, 2) | |

C: (4, 8) A |______| B

To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:

$B_{x} - A_{x} = 7 - 4 = 3$

Hence, the distance of point D from point C in the x-direction is:

$D_{x} = C_{x} + 3 = 4 + 3 = 7$

Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:

$C_{y} - A_{y} = 8 - 2 = 6$

Then, the distance of point D from point B in the y-direction is:

$D_{y} = B_{y} + 6 = 2 + 6 = 8$

Therefore, the coordinates of the missing vertex (point D) are:

$D = (D_{x}, D_{y}) = (7, 8)$

b) The area of the rectangle is:

$a = (B_{x} - A_{x})*(C_{y} - A_{y}) = 3*6 = 18 units^{2}$

The perimeter is given by:

$p = 2*(3 + 6) = 18 units$

I hope it helps you!

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2 years ago

Hayden decided to take martial arts classes at his local gym. He pays $35 each month for his membership and $12 for every class

gizmo_the_mogwai [7]

Hayden had the membership for one month and took 6 classes.

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2 years ago

#2 Find the slope given the points (6,-12) and (15,-3)*

castortr0y [4]

Greetings :)

To find slope of two points we will need to use this equation: $\frac{y^2-y^1}{x^2-x^1}$

$x^1$ $x^2$ $y^1$ $y^2$

( 6 , -12 ) ( 15 , -3 )

Now let's replace the equation with the numbers. (it will be a fraction).

$\frac{-3-(-12)}{15-12}$ = $\frac{9}{9}$

The equation equals 9 over 9, which also equals 1.

The slope of the line is 1.

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3 years ago

5. The population of Groverdale is

White raven [17]

Answer:

Yes Alaina is correct

Step-by-step explanation:

553,000>535,841

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3 years ago

A bag of rice contains 17 1/2 cups of rice. Ken's children eat 2 1/2 cups of rice each day.

balu736 [363]

Answer:

The answer is "7".

Step-by-step explanation:

Given values:

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