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dangina [55]
3 years ago
6

What is the equation in point-slope form of a line that passes through the points (7, −8) and (−4, 6) ?

Mathematics
1 answer:
nika2105 [10]3 years ago
7 0

The slope-point form:

y-y_1=m(x-x_1)

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (7, -8) and (-4, 6). Substitute:

m=\dfrac{6-(-8)}{-4-7}=\dfrac{14}{-11}=-\dfrac{14}{11}\\\\y-6=-\dfrac{14}{11}(x-(-4))\\\\\boxed{y-6=-\dfrac{14}{11}(x+4)}

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Use common denominators to determine whether the ratios form a proportion.
AURORKA [14]
They are not in proportion, since its 6:9 round it down (2:3) so pretend the 6 are apples and the 9 are oranges

Every 2 apples there are 3 oranges

So having 9 apples what is that?

2 x ? = 9

2 x 4.5 = 9

So if you want to keep 2:3 you have you times the oranges by 4.5 aswell!

3 x 4.5 = 13.5

So since it is 9:12 not 9:13.5 they are not in proportion
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4 years ago
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At a sale on winter clothing,Cody bought two pairs of gloves and four hats for $43.00. Tori bought two pairs of gloves and two h
lara31 [8.8K]
First do 43 - 30= $13 for two hats
so for one hat you do 13 divided by 2 which equals= <u>$6.50</u> for one hat

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8 0
3 years ago
Suppose f(x) = 2x-1 and g (x) = x + 1/a. Which value(s) of a would make the composite functions commutative? A. 0 B. 2 C. any va
Tamiku [17]

Answer:

2

Step-by-step explanation:

A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is f(g(x)) = g(f(x)) = x

So, 2(\frac{x+1}{a}) - 1 = \frac{(2x-1)+1}{a}

If you multiply both sides by <em>a</em>, you get   2<em>a</em>(\frac{x+1}{a}) - a = (2x-1)+1

Simplify it                                                   2<em>a</em>(\frac{x+1}{a}) - <em>a</em> = 2x

Add <em>a</em> to both sides                                    2<em>a</em>(\frac{x+1}{a})  = 2x +<em>a</em>

The two <em>a</em>s on the left cancel out                   2(x+1)=2x+<em>a</em>

Distribute the 2                                               2x+2=2x+<em>a</em>

Then subtract 2x from both sides                        2 = <em>a</em>

Therefore, <em>a</em> = 2

Hope this helps!

8 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
X÷-1&gt;2÷5 solve for X
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