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AysviL [449]
3 years ago
13

​​ What is the area of a rectangle with vertices at ​ (−4, 0) ​, ​ (−3, 1) ​ , (0, −2) , and (−1, −3) ? Enter your answer in the

box. Do not round any side lengths.
Mathematics
1 answer:
Mkey [24]3 years ago
6 0
First, find the distance between (-4, 0) and (-1, -3) by using the distance formula, you will get the √18
second, find the distance between (-4, 0) and (-3, 1), the result is √2
so the area is the √18*√2=6

Please refer to this website for the distance formula:
http://www.mathwarehouse.com/algebra/distance_formula/index.php

You might be interested in
A. The solution is (−2,−3)
Cerrena [4.2K]

9514 1404 393

Answer:

  D.  (-3, -2)

Step-by-step explanation:

The equations have different coefficients for x and y, so will have one solution. The solutions offered are easily tested in either equation.

Using (x, y) = (-2, -3):

  x = y -1  ⇒  -2 = -3 -1 . . . . False

Using (x, y) = (-3, -2):

  x = y -1  ⇒  -3 = -2 -1 . . . .True

  2x = 3y  ⇒  2(-3) = 3(-2) . . . . True

The solution is (-3, -2).

__

If you'd like to solve the set of equations, substitution for x works nicely.

  2(y -1) = 3y

  2y -2 = 3y . . eliminate parentheses

  -2 = y . . . . . . subtract 2y

  x = -2 -1 = -3

The solution is (x, y) = (-3, -2).

5 0
3 years ago
How do you round 60.95 to the nearest whole number ? What will it become
Nuetrik [128]
It will become 61
because anything above 0.5 rounds up
5 0
3 years ago
Read 2 more answers
Mrs. Smith has 12 times as many markers as colored pencils. The total number of markers and colored pencils is 78. How many mark
yanalaym [24]

The answer is 930, because 78 multiply 12 is 930.
3 0
3 years ago
Read 2 more answers
Help me please I don't know how to do this.
djyliett [7]
Hey there.

If the decimal point is .500 and up, we will be rounding up. If it is .499 and lower, we will be rounding down.
Now let’s look at the numbers.
2.500 g can be rounded up, so we’ll make that 3.000 g.
5.000 g is going to stay the same, since the decimal point is .000
2.268 g will be rounded down, making it 2.000 g
5.670 will be rounded up and will become 6.000 g
And finally, 11.340 g will be rounded down to 11.000 g.

Hope this helps!
3 0
3 years ago
Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.
weeeeeb [17]

Answer:

B

Step-by-step explanation:

given the first 3 terms of the geometric sequence - 4, 20, - 100

with r = \frac{-100}{20} = \frac{20}{-4} = - 5

the n th term formula ( explicit formula ) is

a_{n} = a_{1} r^{n-1}

here r = - 5 and a_{1} = - 4, hence

a_{n} = - 4 (-5)^{n-1} with n ≥ 1





4 0
3 years ago
Read 2 more answers
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