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bija089 [108]
3 years ago
15

What is the area of a parallelogram whose vertices are A(−12, 2) , B(6, 2) , C(−2, −3) , and D(−20, −3) ? Enter your answer in t

he box.
Mathematics
1 answer:
agasfer [191]3 years ago
4 0

Answer:

  \boxed{90}\,\text{units$^2$}

Step-by-step explanation:

The sides AB and CD are parallel to the x-axis and 5 units apart. The length of side AB is 6-(-12) = 18 units. The area is the product of these dimensions:

  Area = (Base)(Height) = (18 units)(5 units) = 90 units²

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The volume of a Cylinder is given by the formula v=pir2h, where are is the radius of the cylinder and H is the height. Suppose a
faust18 [17]

You just need to plug those expressions inside the formula: it doesn't matter if they're expressions involving a variable instead of plain numbers: the formula becomes


V = \pi (x+8)^2(2x+3)


If you want, you can simplify it by expanding the square and then multiply the two parenthesis:


V = \pi (x^2+16x+64)(2x+3) = \pi (2 x^3 + 35 x^2 + 176 x + 192)

6 0
3 years ago
Helpppppppp here plz
miv72 [106K]

Answer:

x + x+12 + 3(x+12) = 123

x = 15

Step-by-step explanation:

Jamil : x

Kiera : x+12

Luther : 3 ( x+12)

x + x+12 + 3(x+12) = 123

Distribute

x + x+12 + 3x+36 = 123

Combine like terms

5x+ 48 = 123

Subtract 48 from each side

5x+48-48 = 123-48

5x =75

Divide by 5

5x/5 = 75/5

x = 15

7 0
3 years ago
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How to find slope and y intercept
Sergio [31]
Slope is rise over run
7 0
3 years ago
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Plss help me as soon as possible i will give you lots of points
mezya [45]

Answer:

Step-by-step explanation:

75x + -300 = 25x + 200

Reorder the terms:

-300 + 75x = 25x + 200

Reorder the terms:

-300 + 75x = 200 + 25x

Solving

-300 + 75x = 200 + 25x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-25x' to each side of the equation.

-300 + 75x + -25x = 200 + 25x + -25x

Combine like terms: 75x + -25x = 50x

-300 + 50x = 200 + 25x + -25x

Combine like terms: 25x + -25x = 0

-300 + 50x = 200 + 0

-300 + 50x = 200

Add '300' to each side of the equation.

-300 + 300 + 50x = 200 + 300

Combine like terms: -300 + 300 = 0

0 + 50x = 200 + 300

50x = 200 + 300

Combine like terms: 200 + 300 = 500

50x = 500

Divide each side by '50'.

x = 10

Simplifying

x = 10

3 0
3 years ago
There were 70 kids at the park. In all there were 170 people including adults. How much adults were there. Then 98 people left i
Blababa [14]

Answer:

to the first part of your question there are 100 adult at the park.

and then if the prblem stays proportional there should be 18 adults left and 54 kids in the park

Step-by-step explanation:

8 0
3 years ago
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