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3 years ago

Solve this system of linear equations. separate the x- and y- values with a coma. -2x=8-6y

1 answer:

5 0

<span>The y variable has the same coefficient so use elimination (subtract equations).

-2x = 8 - 6y
-(-15x = 21 - 6y)
------------------------
13x = -13 + 0

x = -1
Use this to find y in either equation. </span>
<span>-2(-1) = 8 - 6y
2 = 8 - 6y
2 - 8 = -6y
-6 = -6y
y = 1

(x,y) = (-1, 1)
</span>

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Slope is 2 and (3,4) is on the line. solve

pogonyaev

Answer:

Step-by-step explanation:

y-y1 = m(x-x1)

y-4 = 2(x-3)

y-4=2x-6

y= 2x -6+4

y=2x-2

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3 years ago

Which histogram represents a data set with a mean of 4.5 and a standard deviation of 1.7?

AVprozaik [17]

Answer:

that would be the third one

Step-by-step explanation:

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3 years ago

An isotope of iodine has a mass of 134 amu. How many neutrons does the

Nina [5.8K]

Answer:

The correct option is C: the isotope of iodine contains 81 neutrons.

Step-by-step explanation:

The mass (A) of the iodine isotope is given by:

$A = Z + N$

Where:

Z: is the number of protons

N: is the number of neutrons

For iodine Z= 53, so if A = 134 the number of neutrons is:

$N = A - Z = 134 - 53 = 81$

Therefore, the correct option is C. The isotope of iodine contains 81 neutrons.

I hope it helps you!

5 0

3 years ago

If a plane can travel 500 miles per hour with the wind and 400 miles per hour against the wind, find the speed of the wind and t

OLga [1]

Wind speed is 50 mph

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3 years ago

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options.

Elanso [62]

Answer:

2 and 5

Step-by-step explanation:

The slope-intercept form of a line is y=mx-b where m is slope and b is y-intercept.

The point-slope form of a line is y-y1=m(x-x1) where m is the slope and (x1,y1) is a point on the line.

The standard form a line is ax+by=c.

So anyways parallel lines have the same slope.

So if we are looking for a line parallel to 3x-4y=7 then we need to know the slope of this line so we can find the slope of our parallel line.

3x-4y=7

Goal: Put into slope-intercept form

3x-4y=7

Subtract 3x on both sides:

-4y=-3x+7

Divide both sides by -4:

$y=\frac{-3}{-4}x+\frac{7}{-4}$

Simplify:

$y=\frac{3}{4}x+\frac{-7}{4}$

So the slope of this line is 3/4. So our line that is parallel to this one will have this same slope.

So we know our line should be in the form of $y=\frac{3}{4}x+b$ .

To find b we will use the point that is suppose to be on our new line here which is (x,y)=(-4,-2).

So plugging this in to solve for b now:

$-2=\frac{3}{4}(-4)+b$

$-2=-3+b$

$3-2=b$

$b=1$

so the equation of our line in slope-intercept form is $y=\frac{3}{4}x+1$

So that isn't option 1 because the slope is different. That was the only option that was in slope-intercept form.

The standard form of a line is ax+by=c and we have 2 options that look like that.

So let's rearrange the line that we just found into that form.

$y=\frac{3}{4}x+1$

Clear the fractions because we only want integer coefficients by multiplying both sides by 4.

This gives us:

$4y=3x+4$

Subtract 3x on both sides:

$-3x+4y=4$

I don't see this option either.

Multiply both sides by -1:

$3x-4y=-4$

I do see this as a option. So far the only option that works is 2.

Let's look at point slope form now.

We had the point that our line went through was (x1,y1)=(-4,-2) and the slope,m, was 3/4 (we found this earlier).

y-y1=m(x-x1)

Plug in like so:

y-(-2)=3/4(x-(-4))

y+2=3/4 (x+4)

So option 5 looks good too.

7 0

3 years ago

Read 2 more answers