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Mariulka [41]
3 years ago
15

Arrange the steps to solve this system of linear equations in the correct sequence.

Mathematics
1 answer:
Gwar [14]3 years ago
7 0

Answer:

x=-3

y=1

Step-by-step explanation:

x+y=-2...(1)

2x-3y=-9...(2)

In equation (1) make x the subject of formula by subtracting y from both sides

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

Substitute (3) into (2)

2(-2-y)-3y=-9

Open the bracket

-4-2y-3y=-9

Collect like terms

-2y-3y=-9+4

-5y=-5

Divide both sides by-5

y=1

Substitute y=1 into(3)

x=-2-1

x=-3

Therefore,x=-3,y=1

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3 years ago
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Find the surface area of the prism
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Answer:

161 ft squared

Step-by-step explanation:

8 x 5 x 2 = 80

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7 0
2 years ago
If a triangle has side lengths 7, 10, and 12, is it a right triangle??
Vesnalui [34]

Answer:

No. Remember, a right angle must have a 90 degree angle. We can find the lengths with the Pythagorean Theorem.

Step-by-step explanation:

Given the length 7, 10, and 12, we can assume that 12 is the hypotenuse (it is the longest length).

- we can use 7 and 10 interchangeably.

Fill in the equation, a^2 + b^2 = c^2

                 where c = 12, and a or b = 7 or 10.

To indicate if the given lengths would form a right angle, we can only input 7 or 10, not both.

Therefore, 7^2 + b^2 = 12^2 or 10^2 + b^2 = 12^2

7^2 + b^2 = 12^2 ==> 49 + b^2 = 144 ==> <u>b= </u>\sqrt{95<u> ==> </u><u>9.746</u>

b= 9.7, not 10.

10^2 + b^2 = 12^2 ==> 100 + b^2 = 144 ==> <u>b = </u>\sqrt{44<u> ==> </u><u>6.633 </u>

b= 6.6, not 7.

Therefore, the lengths 7, 10, and 12, does NOT make a right triangle.

Hope this helps!

5 0
3 years ago
Which of the following equations will produce the graph shown below
Katen [24]

Answer:

B. 6x^{2}+6y^{2}=144

Step-by-step explanation:

8 0
3 years ago
What is the y- intercept of the equation Y=2x+7?
expeople1 [14]

Answer:

y-intercept = 7

Step-by-step explanation:

The y-intercept is also the starting point

8 0
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