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3 years ago

Write an equation for a line that passes through the points (0,-4) and (1,3)

1 answer:

3 0

We can actually make two equations here, slope-intercept form and point slope form. Firstly, we need to find the slope. We do that by finding the difference of the y coordinates, and then dividing that by the difference of the x coordinates. 3-(-4)/1-0 is 7. Our slope is 7, slope is m.

Point slope form is y - y1 = m(x - x1). We only need to worry about y1 and x1. Let’s plug our x and y values in. y - (-4) = 7(x - 0). Next, we should simplify this. y + 4 = 7x. Next, we need to isolate y. We do this by subtracting four from both sides. y = 7x - 4

Our point slope form equation is y - (-4) = 7(x-0), and our slope-intercept form is y = 7x - 4. Keep in mind that 7 is our slope, or m, and -4 is our y-intercept.

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Simplify the surd 3√ 20 +√ 45

melisa1 [442]

Answer:

9 $\sqrt{5}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplify the radicals

$\sqrt{20}$

= $\sqrt{4(5)}$

= $\sqrt{4}$ × $\sqrt{5}$

= 2 $\sqrt{5}$

$\sqrt{45}$

= $\sqrt{9(5)}$

= $\sqrt{9}$ × $\sqrt{5}$

= 3 $\sqrt{5}$

Then

3 $\sqrt{20}$ + $\sqrt{45}$

= 3(2 $\sqrt{5}$ ) + 3 $\sqrt{5}$

= 6 $\sqrt{5}$ + 3 $\sqrt{5}$

= 9 $\sqrt{5}$

3 0

3 years ago

Read 2 more answers

Which of the following represents the factored form of f(x) = x3 − 81x?

sladkih [1.3K]

You're original equation has a -81, so the factored form will have to have a positive and negative multiplying one another to achieve that...

f(x) = x(x + 9)(x - 9)

3 0

3 years ago

Read 2 more answers

A rectangle has perimeter, P, length, land width, w. Which of the following represents lin

almond37 [142]

Answer:

$l=\frac{P}{2}-w$ .

Step-by-step explanation:

The perimeter of a rectangle is the sum of it's side lengths.

A rectangle has 4 sides where it's opposite sides are congruent.

So if one side has measurement w, then there is another side that has measurement w.

If there is one side that has measurement l, then there is another side that has measurement l.

So if you add w+w+l+l you get 2w+2l.

They are giving us that the perimeter is P, so P=2w+2l.

we are being asking to solve for l.

P=2w+2l

First step: Isolate term that contains the l, so get 2l by itself first.

We are going to subtract 2w on both sides giving us:

P-2w=2l

2l=P-2w

Now that we have 2l by itself it is time to perform the last step in getting l by itself.

Second step: Divide both sides by 2.

This gives us:

l=(P-2w)/2

You may separate the fraction like so:

$l=\frac{P-2w}{2}=\frac{P}{2}-\frac{2w}{2}=\frac{P}{2}-w$ .

I don't know your options but I have solve for l in terms of P and w

and got $l=\frac{P}{2}-w$ .

Please let me know if you have further questions with this problem.

4 0

4 years ago

If I put 4,736 marbles into groups of 10 how many groups would I have

quester [9]

$4.736:10= \boxed{473.6 \approx 473 \ groups \ of \ ten}$

6 0

3 years ago

Read 2 more answers

Which function has the following characteristics?

iren [92.7K]

Using the asymptote concept, the function with a vertical asymptote at x = 3 and an horizontal asymptote at $y = -\frac{1}{2}$ is given by: