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Marysya12 [62]
3 years ago
10

Solve for x. 3x+7 = -x-1

Mathematics
1 answer:
alekssr [168]3 years ago
4 0

Answer: x = -2


Step-by-step explanation: 3x+7 = -x-1; add 1 to both sides: 3x+8=-x; subtract 3x from both sides: 8 = -4x; divide by -4 on both sides: -2 = x


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Find the equation of a line passing through points (-7, -10) , (-5, -20)
LuckyWell [14K]

You want to find the equation for a line that passes through the two points:

                          (-7,-10) and (-5,-20).

First of all, remember what the equation of a line is:

                                y = mx+b

here, m is the slope, b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through.

Consider (-7,-10) as point #1, so the x and y numbers given will be called x1 and y1. Or, x1=-7 and y1=-10.

Consider (-5,-20), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-5 and y2=-20.

Now, just plug the numbers into the formula for m above, like this:

                       m= (-20 - -10)/(-5 - -7)

                                m= -10/2

                                   m=-5

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

                                     y=-5x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(-7,-10). When x of the line is -7, y of the line must be -10.

(-5,-20). When x of the line is -5, y of the line must be -20.

Because  line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-5x+b. b is what we want, the -5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the two points (-7,-10) and (-5,-20).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.


You can use either (x,y) point you want.The answer will be the same:

(-7,-10). y=mx+b or -10=-5 × -7+b, or solving for b: b=-10-(-5)(-7). b=-45.

(-5,-20). y=mx+b or -20=-5 × -5+b, or solving for b: b=-20-(-5)(-5). b=-45.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points (-7,-10) and (-5,-20) is y=-5x-45.

                                 


8 0
3 years ago
Can someone do my last question and actually try it​
MariettaO [177]

Answer:

What's the question?

Step-by-step explanation:

6 0
3 years ago
The basic wage earned by a truck driver for a a 40 hour week is 560.00$ for overtime work the driver is paid one and a half hour
Lubov Fominskaja [6]

Answer:

$7

Step-by-step explanation:

overtime = 1/2 x daily hourly rate

daily hourly rate = amount earned in a week / total hours worked

560 /40 = 14

overtime = 14/2 = 7

6 0
3 years ago
Can you tell brendan to stop talking???
tatuchka [14]

Answer:

Stop talking Brendan.

Step-by-step explanation:

1.tell him to stop

2.tell him to stop

3.tell him to stop

Hope it helps!

6 0
3 years ago
Read 2 more answers
I have 5digits My name is worth 90,000 my two is worth 2 thousand one of my sevens is worth 70 the other is worth 10 times as mu
dolphi86 [110]

Answer:

92776

Step-by-step explanation:

From the given question,

The analysis of the given question can be computed as follows:

I have 5 digits

My name is worth                      90000

my two is worth                            2000

one of my seven is worth                 70

and the other is worth 10 times

as much i.e 10× 70 = 700                700

my other digit is six                               6

What number am I?

So, we are expected to look for the summation of all the numbers

i.e   90000 + 2000 + 70 + 700 + 6

= 92776

Thus, the number is 92776

6 0
3 years ago
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