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scoundrel [369]
3 years ago
11

a line has a slope of -2 and passes through the point (-1,4).what is its equation in slope intercept form?​

Mathematics
1 answer:
Nat2105 [25]3 years ago
5 0

Answer:

y=-2x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-4=-2(x-(-1))

y-4=-2(x+1)

y-4=-2x-2

y=-2x-2+4

y=-2x+2

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Anettt [7]

Answer: Where is the image or PDF?

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3 years ago
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The variable y is directly proportional to the variable x. If y = 32 when x = 20, what is the value of x when y = 40?
elena55 [62]

Answer:

The Correct option is C ) 25

Therefore the value of x is 25 when y =40.

Step-by-step explanation:

Given:

Variable 'y' is directly proportional to the variable 'x'.

\therefore y=kx     ......Direct Variation

Where,

k = Constant of proportionality

To Find:

value of x = ? when y = 40

Solution:

First we need to find Constant of proportionality

When x = 20 and y = 32

Substituting the values we get

32=k\times 20\\k=\dfrac{32}{20}=1.6\\\\k=1.6

Now when k =1.6 , y = 40 then x will be

40=1.6\times x\\\\x=\dfrac{40}{1.6}=25\\\\x=25

Therefore the value of x is 25 when y =40.

6 0
4 years ago
If 30 buses can carry 1,500 people, how many people can 5 buses carry? A 200 © 500 B 250 D 750​
maksim [4K]

Answer:

\boxed {\boxed {\sf 250 \ people}}

Step-by-step explanation:

Let's set up a proportion using the following setup.

\frac {buses}{people}=\frac {buses}{people}

We know 30 buses can carry 1,500 people.

\frac {30 \ buses}{1500 \ people}=\frac {buses}{people}

We don't know how many people 5 buses can carry, so we say 5 buses carry x people.

\frac {30 \ buses}{1500 \ people}=\frac {5 \ buses}{x \ people}

\frac {30 }{1500 }=\frac {5 }{x }

Cross multiply. Multiply the numerator of the first fraction by the second fraction's denominator. Then, multiply the first denominator by the second numerator.

30*x=1500*5\\30x=7500

Solve for x. It is being multiplied by 30. The inverse of multiplication is division. Divide both sides by 30.

30x/30=7500\\x=250

5 buses can carry 250 people.

7 0
3 years ago
NEED HELP! Have no idea what his is?? 50 points
soldi70 [24.7K]
Well i have to say is that PEMDAS exponents first. Hope this helps.
5 0
4 years ago
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Simplify -4(x - 5) + 3(a - 7)
STatiana [176]

using the distributive property:

-4x + 20 + 3a - 21

Then combine like terms:

-4x + 3a - 1

A is the answer

7 0
3 years ago
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