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Rama09 [41]
2 years ago
10

Find the inverse of each relation (-3,-7) (0,-1) (5,9) (7,13)

Mathematics
1 answer:
masha68 [24]2 years ago
8 0
(-7,-3) (-1,0) (9,5) and (13,7)
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How to solve system of linear equations by elimination
kondaur [170]

Say you have the system:

2x + 7y = 4

3x + 5y = -5

To solve this system using elimination, you want to cancel out either the x terms or the y terms. In this equation, it makes most sense to get rid of the x terms because they can easily be calculated as opposites. So, what we need to do is multiply each term in the first equation by 3 and multiply each term in the second equation by -2:

6x + 21y = 12 (2 * 3 = 6; 7 * 3 = 21; 4 * 3 = 12)

-6x -10y = 10 (3 * -2 = -6; 5 * -2 = -10; -5 * -2 = 10)

With that, the x terms automatically cancel out and we're left with:

21y = 12

-10y = 10

From here, we can add both equations together and get:

11y = 22

y = 2 (divide both sides by 11)

After we have one variable, we can plug it right back into either of the first two original equations; ours were 2x + 7y = 4 and 3x + 5y = -5.

So we'll take the first one and put 2 in the place of y to solve for x:

2x + 7(2) = 4

2x + 14 = 4 (multiply 7 and 2)

2x = -10 (subtract 14 from both sides of the equation)

x = -5 (divide both sides by 2)

We have that y = 2 and x = -5; there is only one more step - check your work!

Plug both values back into both original equations to check your work:

2(-5) + 7(2) = 4   =>   -10 + 14 = 4   Correct!

3(-5) + 5(2) = -5   =>   -15 + 10 = -5   Correct!

I hope this was comprehensive enough. Let me know if you have any more questions.

5 0
3 years ago
Which expression is equal to 3√54−4√24 ?<br> 11√6<br><br> √6<br><br> −11√6<br><br> −√6
romanna [79]
3√54-4√24
9√6-4√24
9√6-8√6
√6
6 0
3 years ago
Given 2x2 = -8, x is
Diano4ka-milaya [45]

Answer:

The answer is x = 2 or x = -2

Step-by-step explanation:

2x² = - 8

Send 8 to the left side of the equation

That is

2x² - 8 = 0

Simplify the expression

Divide both terms by 2

That's

2x² /2 - 8 /2 = 0

x² - 4 = 0

Factorize the expression

that's

(x +2) (x - 2) = 0

x + 2 = 0 x -2 =0

x = -2 x = 2

Therefore x = 2 or x = -2

Hope this helps you

4 0
3 years ago
Incline mats, or triangle mats, are offered with different levels of incline to help gymnasts learn basic moves. As the name may
jeyben [28]
<span>Let's assume the mat as a right triangle Taking length of triangle be x so height = x-21 and hypotenuse= x+6 for right triangle we can apply pythagoras theorem so (x+6)^2=x^2+(x-21)^2 expanding we get x^2 + 12 x + 36 = 2 x^2 - 42 x + 441 solving for x we get x=9,45 But for length to be 9 height will be negative So the length of mat will be 45 inches</span>
3 0
3 years ago
If the triangle and a parallelogram standing on the same base and lying between the same parallels. Which of the following relat
AlexFokin [52]

Answer:

Step-by-step explanation:If a triangle and parallelogram are on the same base and have the same altitude, the area of the triangle will be half that of the parallelogram. If they have same altitude, they will lie between the same parallels. Hence the area of the triangle will be equal to half that of the parallelogram.

7 0
3 years ago
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