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igor_vitrenko [27]
3 years ago
7

[20 Points] I need help with these questions:

Mathematics
1 answer:
I am Lyosha [343]3 years ago
3 0

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0)

You need to find "m" and "b"


1.) For lines to be perpendicular, their slopes have to be the opposite/negative reciprocal (flipped sign and number)

For example:

slope is 2

perpendicular line's slope is -1/2

slope is -2/3

perpendicular line's slope is 3/2


The given line's slope is -4, so the perpendicular line's slope is 1/4.

y = 1/4x + b

To find "b", you can plug in the point (4, -2) into the equation

y = 1/4x + b

-2 = 1/4(4) + b

-2 = 1 + b

-3 = b


y=\frac{1}{4} x-3


2.) To find "m", use the slope formula and plug in the two points:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{8-(-1)}{-2-4}

m=\frac{8+1}{-2-4}

m=\frac{9}{-6} =-\frac{3}{2}


y = -3/2x + b

Plug in one of the points to find "b"

y = -3/2x + b

-1 = -3/2(4) + b

-1 = -6 + b

5 = b


y=-\frac{3}{2}x +5


3.) y-intercept: 5 (since the given equation's y-intercept is 5)

I'm confused with what they mean by "steep", so I'll try to update this later unless someone else has an answer


So I looked it up, and it says that a steep slope is a line that is more vertical [if that makes sense]. So you could do a slope of +3 (more than 3, like 4, 5, 6...) because the given line's slope is 3, and you need a new line that is more steeper(vertical)

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<img src="https://tex.z-dn.net/?f=if%20x%20%3D%20-5%5C%5Cx%5E%7B2%7D%20%2B%203%5C%5Cx%20-%202" id="TexFormula1" title="if x = -5
levacccp [35]

Answer:

this question is inappropriate

8 0
3 years ago
What is the geometric mean of 28 and 14?
topjm [15]

Answer:

gm =14sqrt(2)

or approximately 19.8

Step-by-step explanation:

to find the geometric mean, multiply the numbers together and then take the square root

gm = sqrt(28*14)

gm = sqrt(392)

gm = sqrt(196*2)

gm =14sqrt(2)

gm = 19.799

8 0
3 years ago
Please answer this to the best of your ability
Lilit [14]

Answer:

For this exercise we need to solve the next equation:

3 +6x = 2x + 27

We can start substracting 3 at both sides:

3 + 6x - 2 = 2x + 27 - 3

6x = 2x + 25

And then, we can substract 2x::

6x - 2x = 2x + 24 - 2x

4x = 25

Then, we divide by 4:

4x/4 = 24/4

x = 24/4 = 6

Now, we can see if we have done it correctly:

3 + 6*6 = 39

2 * 6 + 27 = 39

And we have seen our result is correct

7 0
3 years ago
Question 29 of 40<br> Find f(-2) for f(x) = 5.3*.
blsea [12.9K]

Answer:

A. \frac{5}{9}

Step-by-step explanation:

To find f(-2) in f(x)=5*3^x, plug in -2 into all the x values.

f(-2)=5*3^-2, you can use calculator to calculate 3^-2 which equals 0.1, forever 1's.

f(-2)=5*0.1=0.5  Forever 5's.

f(-2)=0.5 or \frac{5}{9}

Hope this helps!

If not, I am sorry.

4 0
2 years ago
A length of 9 and<br> a perimeter of 22
Bad White [126]

Answer:

Width is 2 if that's what you were looking for.

Step-by-step explanation:

I'm guessing it's a rectangle and you want the width?

22-9-9=2w

2w=4

The width is 2

4 0
3 years ago
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