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Dmitrij [34]
3 years ago
14

Which equation in point-slope form contains the point (4, –1) and has slope 3?

Mathematics
1 answer:
Andrew [12]3 years ago
4 0

Answer:

y+1=3(x-4)

Step-by-step explanation:

Hi there!

We are given a slope of 3 and a point (4,-1).

We need to find the equation of the line in point-slope form

Point-slope form is given as y-y1=m(x-x1), where m is the slope, and (x1,y1) is a point

We have all of the needed information to substitute into the formula

First, let's label the values of everything to avoid any confusion

m=3

x1=4

y1=-1

now substitute into the formula *remember, the formula has SUBTRACTION, and we have a NEGATIVE number, so we'll end up subtracting a negative*

y--1=3(x-4)

simplify

y+1=3(x-4)

That's it!

Hope this helps :)

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Answer:

k = 12h

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Since each of the inputs of h can be mutiplied by 12 to get the output k, the equation is k = 12h
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3 0
2 years ago
a)express x^2+12x+11 in the form (x+p)^2+q b)A curve has equation y=x^2+12x+11. What are the co-ordinates of the turning point o
sveticcg [70]

a) (x+6)^2-25

b) (-6, -25)

Step-by-step explanation:

Perfect square trinomial! If you have 12x, divide by two and get 6, so we have (x+6)^2+q. Then solve for q. You get q as -25.

For b, we just take the vertex from vertex form. We get x+6=0 so x=-6, and q = -25, so the answer is (-6, -25).

Hope that helped,

-sirswagger21

4 0
3 years ago
How many cups in a quart?
allochka39001 [22]
4 us customary cups
in one quart
3 0
3 years ago
Evaluate [20x ÷ 5 · (-x)] + 3
Anna35 [415]
Order of operations, the order in which to do them
pemdas
parenthasees
exponents
multiplication or division (whichever comes first)
addition or subtraction (whichever comes first)
so

inside parenthaees first
20x/5=4x

now we has
[4x*(-x)]+3
multiply
4x*-x=-4x²

now we has
[-4x²]+3
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8 0
3 years ago
Chaney deposits $1435.73 into a savings account that pays a simple annual interest rate of 1.32%. How much interest will she ear
kari74 [83]

Answer:

$57.61

Step-by-step explanation:

First you want to take the initial deposit and add the 1.32% by multiplying $1435.73 by 1.0132, which should look like this, 1435.73(1.0132), which makes it $1454.68. Next is the tricky part, now you add 1.32% of that new number, 1454.68(1.0132) which equals $1473.88. Then add 1.32% one more time, 1473.88(1.0132) which equals $1493.34. Lastly you subtract the initial deposit from the new number, 1493.34 - 1435.73 which equals $57.61 which is the amount of interest you would gain after 3 years!

7 0
3 years ago
Read 2 more answers
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