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Tomtit [17]
3 years ago
5

Find the solution of this system of equations.

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
4 0
I'm going to use the substitution method.

4x + 4y = -16
-8x - 6y = -20

4x + 4y = -16
- 4x - 4x
--------------------------
4y = -4x - 16
------ ------ ------
4 4 4

y = -x - 4

-8x - 6(-x - 4) = -20
-8x + 6x + 24 = -20
-2x + 24 = -20
- 24 - 24
----------------------------
-2x = 44
------- -------
2 2

x = 22


4(22) + 4y = -16
88 + 4y = -16
- 88 - 88
------------------------
4y = -104
------ ---------
4 4

y = -26



The answer is (22, -26).



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4 0
3 years ago
Which statements are true
AnnyKZ [126]

Answer:

A, B and C (close examination)

Step-by-step explanation:

A. 15m3 - 6m = 3m(5m2 - 6m)

  • m = 0 or m = 1/3

B. 40m6-4=4(10m6-1)

  • 0 = 0
  • All real numbers are solutions

C. 6m2+18m=6m2(1+3m)

  • m = 0 or m = 1 or m = -1

D. 32m4+12m3(8m+3)

  • 128m4 + 36m3

This is tough one but I will explain this problem by close examination:

The problem is looking for an equation that have the variable m by itself

D is out of the picture because the equations does not have m by itself

Equation B's answer is that all numbers are solutions meaning any m value you put will become the same. (Similar to Infinite Solutions)

By close examination, The answer are A, B, and C.

5 0
3 years ago
I'm not sure how to do these, slader is no assistance to me.
ki77a [65]

Answer:

Perimeter: 18 ft

Height: 7 ft

Base Area: 12

Surface Area: (7)*(8) + 2(47) = 150

Step-by-step explanation:

To find the perimeter add all the edges together.

5 + 5 + 8 = 18

To find the height look at the diagram. 7ft shows the height of the rectangle and thus is the height for the rest of the shape.

Base Area:

Multiply the length (8ft) of the base by the height of the base (3ft)

8 * 3 = 24

Then divide by 2 to get the total area of the triangle

24 / 2 = 12.

Surface Area:

To find the surface area you to need to find the specifics of each side.

The base area we already solved for which is 12. We'll get back to this in a minute. The other double sides are of 5 * 7. That equals 35. Add together 12 + 35 to get 47. That is what will go in the 2(___) box because both of those sides have 2. It is the same number when done this way versus just adding them up.

47 * 2 = 94

12 + 12 + 35 + 35 = 94

Then for the (___)(___) that would be 7ft * 8ft because it is the only side left and does not have a double so it must be separate.

7 * 8 = 56

56+94 = 150

5 0
3 years ago
Read 2 more answers
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