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3 years ago

Find the slope of the line whose equation is y - 4x = 8.

Mathematics

2 answers:

zavuch27 [327]3 years ago

6 0

The slope is -4. This is because of slope intercept form, y=mxtb. M= the slope so the slope in this case is -4

s2008m [1.1K]3 years ago

5 0

Using the slope-intercept form (y = mx + b), you can easily find the slope! In fact, y = mx + b, where m is the slope of the line, and b is the y-intercept. While not entirely necessary, we'll rewrite the equation in slope-intercept form for simplicity. To write the equation in slope-intercept form, all you need to do is isolate y.
1. y - 4x = 8 : write the equation down
2. y - 4x + 4x = 8 + 4x : Add 4x to each side of the equation so that the -4x on the left side of the equation cancels out.
3. y = 8 + 4x. Combine like terms
4. y = 4x + 8 : Rearrange the terms according to the slope-intercept form (y = mx + b)
Now that our equation is in slope-intercept form, we can easily identify the slope and the y-intercept. y = 4x + 8 If y = mx + b, where m is the slope, and b is the y-intercept, 4 must be the slope! As you get used to doing it, you can take a lot of the steps out, so this equation really only required one or two steps. However, I figured it'd be better to explain it in detail.

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Let k(w)= w+3/w+9. Find k^-1(-4)

DENIUS [597]

Answer:

$\displaystyle k^{-1} (-4) = -\frac{39}{5}$

Step-by-step explanation:

We are given the function:

$\displaystyle k(w) = \frac{w + 3}{w + 9}$

And we want to find k⁻¹(-4).

Recall that by the definition of inverse functions:

$\displaystyle \text{If } f(a) = b, \text{ then } f^{-1}(b) = a$

Let k⁻¹(-4) = x, where x is an unknown value. Then by definition, k(x) must equal -4.

So:

$\displaystyle k(x) = \frac{x+3}{x+9} = -4$

Solve for x:

$\displaystyle \begin{aligned} \frac{x+3}{x+9} &= -4 \\ \\ x+3 &= -4(x+9) \\ \\ x+3 &= -4x - 36 \\ \\ x &= -\frac{39}{5} \end{aligned}$

Hence, k(-39/5) = -4. By definition of inverse functions, then, k⁻¹(-4) = -39/5.

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2 years ago

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jok3333 [9.3K]

Answer:

I love algebra anyways

The ans is in the picture with the steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

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2 years ago

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Ghella [55]

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1 year ago

Find [4(cos15° + isin15°)]^3 and express it in a + bi form.

arsen [322]

Answer:

see explanation

Step-by-step explanation:

Using De Moivre's theorem

Given

[ 4(cos15° + isin15° ) ]³, then

= 4³ [ cos(3 × 15°) + isin(3 × 15°) ]

= 64 (cos45° + isin45° )

= 64 ( $\frac{\sqrt{2} }{2}$ + $\frac{\sqrt{2} }{2}$ i )

= 64 ( $\frac{\sqrt{2} }{2}$ (1 + i) )

= 32 $\sqrt{2}$ (1 + i)

= 32 $\sqrt{2}$ + 32 $\sqrt{2}$ i

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2 years ago

How to get the equation

Olenka [21]

ITS EASY AND IF YOU TRY YOU CAN FIND THE ANSWER JUST WORK HARD AND TRY

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