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Art [367]
2 years ago
14

If y=mx+b is the equation of a line perpendicular to the line y=5x-2, what is the value of m?

Mathematics
1 answer:
Cloud [144]2 years ago
5 0

Answer:

5

Step-by-step explanation:

For this question, all we have to do, is simply look at the equation.

y = mx + b.

y = 5x - 2.

We know that b is -2.

So we can therefore know, that m  is 5.

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6x+4y=42 -3x+3y=-6 by elimination
creativ13 [48]

Answer:

x=5, y=2

Step-by-step explanation:

To solve this system, we need to find x and y. First, let's find x. In the first equation (6x+4y=42), subtract 4y on both sides to isolate 6x. This will result in 6x=42-4y. Divide by 6 on both sides to isolate x and get x=7-\frac{2}{3}y. Now we know what x equals. Go to the second equation ad plug this into it. So instead of -3x+3y=-6, you'll have -3(7-\frac{2}{3}y)+3y=-6. Use the distributive property to get -21+2y+3y=-6. Add 2y and 3y to get -21+5y=-6. Add 21 to both sides to isolate 5y and get 5y=15. Divide by 5 on both sides to isolate y and get y=3. Now that we know that y=3, we can plug this back into the equation that was bolded above so that we can find x, so we'll have x=7-\frac{2}{3}(3) since y=3, and we'll get x=7-\frac{6}{3}, or x=7-2, or x=5.

x=5

y=2

6 0
3 years ago
Read 2 more answers
Question 8
sasho [114]

we are given

system of equations

First equation is

3x-2y=31

Second equation is

3x+2y=-1

now, we can find augmented matrix

A=\begin{pmatrix}3&-2&31\\ 3&2&-1\end{pmatrix}

now, we can change it into reduced row echelon form

step-1: multiply the 1st row by 1/3

A=\begin{pmatrix}1&-2/3&31/3\\ 3&2&-1\end{pmatrix}

step-2:add -3 times the 1st row to the 2nd row

A=\begin{pmatrix}1&-2/3&31/3\\ 0&4&-32\end{pmatrix}

step-3:multiply the 2nd row by 1/4

A=\begin{pmatrix}1&-2/3&31/3\\ 0&1&-8\end{pmatrix}

step-4: add 2/3 times the 2nd row to the 1st row

A=\begin{pmatrix}1&0&5\\ 0&1&-8\end{pmatrix}

so, we get

x=5,y=-8

Answer is (5,-8)

6 0
3 years ago
Read 2 more answers
What is the slope of the line containing the points (1,-1) and (3,3)
marishachu [46]

Answer:

1

Step-by-step explanation:

1111111111111111111

4 0
3 years ago
I NEED HELP!!! ASAP!!!
omeli [17]

Answer:

A.

Step-by-step explanation:

In the picture, the estimated slope goes down, so it has to be negative, eliminating 2, B and D

It isn't a gradual line, as 6x is, so that is eliminated.

When we look at the estimated line, we can count out on the grid 3 to the right and 4 down, doing that a few times.  If you then connect the dots, it will be a line probably very close to your estimate.

6 0
3 years ago
The sum of three and twelve times a number is 363. What is the number ?
klio [65]
3+12x=363
12x=360
x=30
3 0
3 years ago
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