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Greeley [361]
3 years ago
14

Step by step linear combination. 3x+2y=-4 4x-y=13

Mathematics
1 answer:
Paraphin [41]3 years ago
5 0

Answer:

The solution is the point (2,-5)

Step-by-step explanation:

we have

3x+2y=-4 ------> equation A

4x-y=13 ------> equation B

Multiply equation B by 2 both sides

2(4x-y)=2*13

8x-2y=26 ------> equation C

Adds equation A and equation C

3x+2y=-4\\8x-2y=26\\---------\\3x+8x=-4+26\\11x=22\\x=2

Find the value of y

substitute the value of x in equation A

3(2)+2y=-4

2y=-4-6

2y=-10  

y=-5  

The solution is the point (2,-5)

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Isabella is solving the equation 4x^2=13x-3 with the quadratic formula
laiz [17]

Answer:

x=(3,1/4)

Step-by-step explanation:

Be sure to use the formula...

-b + or - sqrt{b^{2} - 4ac } / 2a

- First, move all variables to one side (left) of the equation. You want one side to be equivalent to zero.

-Next, you need to find a, b, and c. This should be...

a=4

b=-13

c=3

- Knowing this, fill in these variable to go along with the formula. I cannot do this for you, as you should try it on your own. But, you should end up with the solution x= (3,1/4).

- Hope this helps! If you need a further explanation or help on any more problems please let me know, as I would be glad to help anytime.

5 0
3 years ago
10g - 4 (g - 2) + 11 = 1
sergij07 [2.7K]

Answer:

g = -3

Step-by-step explanation:

10g-4(g-2)+11=1

1) 10g-4g+8+11=1  Combine like terms

2) 6g+8+11=1

3) 6g+19=1

4) 6g=-18   To continue the process of getting the variable by itself, we have to get rid of 19. So we are going to subtract 19 from 19 to get 0, and whatever we do to the other side, so we subtract 19 from 1 to get -18.

5)6g=-18    To get the variable by itself, instead of mutiplying, we will divide by 6 on both sides to get... g=-3! Hope this helps!

5 0
3 years ago
Jack is holding nickels and dimes. He has 4 more dimes than nickels. He has a total of $.70 in his hand. How many of each coin d
Alexxandr [17]
Sorry it is 2 nickel which equals ₵10 and 6 dimes which equals ₵60 and when you add them together they equal ₵70
7 0
4 years ago
Use cylindrical coordinates. Find the volume of the solid that lies within both the cylinder x2 + y2 = 25 and the sphere x2 + y2
Inessa05 [86]

Answer:

Step-by-step explanation:

we are asked to find the volume of solid that lies within both the cylinder

x^2 + y^2 = 25

and

the spherex^2 + y^2 + z^2 = 49.

Conversion from rectangular to cylindrical is

x=rcost\\y = rsint\\z=z

|J| =r

In cylindrical coordinates the volume is bounded by the cylinder r=5 and

r^2+z^2 =49

Hence we can write volume as

\int \int \int dxdydz\\=\\\int _0^5 \int_0^{2\pi} \int_{-\sqrt{49-r^2} } ^{\sqrt{49-r^2} rdzdtdr\\= 2\pi \int _0^5 (2\sqrt{49-r^2} rdr\\=4\pi (-(49-r^2) (2/3)\\= \frac{4\pi}{3} (343-48\sqrt{6} )

6 0
3 years ago
I need to know if 3750 is right or wrong cause I think that’s the answer
brilliants [131]
It’s wrong.

The surface area means the area of the outside of the cube.

The area of a square is just width x height. And we are told one of the sides is 5.

A square has all equal sides. So what’s 5x5? then times that by the number of squares

I’ll put the answer in the comments
8 0
3 years ago
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