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ozzi
3 years ago
15

What is the area of a parallelogram whose vertices are A(−1, 12) , B(13, 12) , C(2, −5) , and D(−12, −5) ?

Mathematics
1 answer:
Delicious77 [7]3 years ago
8 0
<span>238 square units. The area of a parallelogram is the base multiplied by the height. You can use any of its four sides as the base, so pick the one that is easiest to deal with. Examining the parallelogram, you'll notice that line segments AB and CD are both parallel to the x axis which makes it extremely easy to calculate the height which is 12 - (-5) = 17. The length of AB is 13 - (-1) = 14. So the area of the parallelogram is 14 * 17 = 238</span>
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Enter an equation for the word sentence. Use the variable c for the cost.
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Answer

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Step-by-step explanation:

I don't know in what level of mathematics you're in. It depends...

c= cost  c=6

7 0
3 years ago
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Find the vertex, focus, directrix, and focal width of the parabola. (5 points)
Anarel [89]

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\bf -\cfrac{1}{20}x^2=y\implies \cfrac{x^2}{-20}=y\implies x^2=-20y\implies (x-0)^2=-20(y-0) \\\\\\ (x-\stackrel{h}{0})^2=4(\stackrel{p}{-5})(y-\stackrel{k}{0})

something noteworthy is that the squared variable is the "x", thus the parabola is a vertical one, the "p" value is negative, so is opening downwards, and the h,k is pretty much the origin,

vertex is at (0,0)

the focus point is "p" or 5 units down from there, namely at (0, -5)

the directrix is "p" units on the opposite direction, up, namely at y = 5

the focal width, well, |4p| is pretty much the focal width, in this  case, is simply yeap, you guessed it, 20.

8 0
3 years ago
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4 0
3 years ago
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Step-by-step explanation:

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6 0
3 years ago
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Please help! I really need it!
amm1812

Answer:

1.  x > 4

2.  m < 2

3.  x > 2

4.  x < -6

Step-by-step explanation:

These 4 inequalities will be solved the same way we solve equations. We take variables to one side and numbers to another and use algebra to solve. Each of them are solved shown below:

1.

4+6x

so x is greater than 4, we can write (variable first):

x > 4

2.

m+16>8m+2\\16-2>8m-m\\14>7m\\\frac{14}{7}>m\\2>m

so m is less than 2, we can write:

m < 2

3.

5x-1>13-2x\\5x+2x>13+1\\7x>14\\x>\frac{14}{7}\\x>2

so x is greater than 2, we can write:

x > 2

4.

-3x-2>-x+10\\-2-10>-x+3x\\-12>2x\\\frac{-12}{2}>x\\-6>x

so x is less than -6, we can write:

x < -6

8 0
3 years ago
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