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navik [9.2K]
3 years ago
15

How many solutions does this linear system have?

Mathematics
1 answer:
Mice21 [21]3 years ago
8 0

Answer:

one solution: (-1,1)

Step-by-step explanation:

we have

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

6x-4y=-10 ----> equation B

Solve the system by substitution

Substitute equation A in equation B

6x-4(x+2)=-10

solve for x

6x-4x-8=-10

6x-4x=-10+8

2x=-2

x=-1

<em>Find the value of y</em>

y=x+2 ----> y=-1+2=1

The solution is the point (-1,1)

therefore

one solution: (-1,1)

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K=mv^2/2 solve for v
matrenka [14]

Answer: v=\sqrt[]{\frac{2K}{m} }

Step-by-step explanation:

K=\frac{mv^2}{2}

First, multiply by 2 to get rid of the 2 in the denominator. Remember that if you make any changes you have to make sure the equation keeps balanced, so do it on both sides as following;

2*K=\frac{mv^2}{2}*2

2K=mv^2

Divide by m to isolate v^2.

\frac{2K}{m}=\frac{mv^2}{m}

\frac{2K}{m} =v^2

To eliminate the square and isolate v, extract the square root.

\sqrt[]{\frac{2K}{m} }=\sqrt[]{v^2}

\sqrt[]{\frac{2K}{m} }=v

let's rewrite it in a way that v is in the left side.

v=\sqrt[]{\frac{2K}{m} }

4 0
2 years ago
Liliana used 444 dark power crystals to raise 141414 zombie soldiers. She wants to know how many zombie soldiers (z)(z)left pare
Salsk061 [2.6K]

Answer:

32171658

Step-by-step explanation:

318.5 is 141414/444

318.5 x 101010=32171658

5 0
3 years ago
If a polynomial function f(x) has roots -8,1, and -6i , what must also be a root of f(x) ?
kap26 [50]
Heya !

In mathematics, the complex conjugate root theorem states that if P is a polynomial in one variable with real coefficients, and a + bi is a root of P with a and b real numbers, then its complex conjugate a − bi is also a root of P.

Here , one complex root is given -6i hence , the other must be 6i.

Hope it helps you ! :)

6 0
2 years ago
The perimeter of a triangle is 240 cm. The lengths of the sides are 3:4:5.Calculate the lengths of the longest and shortest side
Ugo [173]

Answer:

60cm and 100cm

Step-by-step explanation:

12 parts in total

240/12 is 20

each part is 20

3x20 is 60 and 5x20 is 100

7 0
2 years ago
Using the correct order of operations, what does this formula<br> equal? =5+3*2
Kobotan [32]

Answer:

11

Step-by-step explanation:

do multiplication/division before addition/subtraction

8 0
3 years ago
Read 2 more answers
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