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aleksklad [387]
3 years ago
5

Find the equation of the line passing through the points (5, 2) and (10, 6). y = Xt

Mathematics
1 answer:
Natalka [10]3 years ago
8 0

Answer:

y=4/5x-2

Step-by-step explanation:

here are the given points: (5,2) and (10,6)

First, let's find the slope, which is found with the equation (y2-y1)/(x2-x1)

so let's label the points

x1=5

y1=2

x2=10

y2=6

now we can substitute into the equation

m=(6-2)/(10-5)

subtract

m=4/5

so that means the slope is 4/5

Now, let's use point slope form, which is y-y1=m(x-x1) (m is the slope)

so let's substitute the numbers we know from earlier into the equation

y-2=4/5(x-5)

do distributive prop.

y-2=4/5x-4

add 2 to both sides

y=4/5x-2

hope this helps!

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Numerically estimate the slope of y = f(x) at r = a. 1. f(x) = x^2 - 2x, a = 2 2. f(x) = sin 2x, a = 0
REY [17]

Answer:

1. Slope at a=2 is 2.

2. Slope at a=0 is 2.

Step-by-step explanation:

We need to find the slope of y = f(x) at x = a.

1.

The given function is

f(x)=x^2-2x

It can be written as

y=x^2-2x

Differentiate with respect to x.

y'=2x-2

Substitute x=2 to find the slope of y = f(x) at a=2.

y'=2(2)-2

y'=4-2

y'=2

Therefore the slope of function at a=2 is 2.

2.

The given function is

f(x)=\sin 2x

It can be written as

y=\sin 2x

Differentiate with respect to x.

y'=2\cos 2x

Substitute x=0 to find the slope of y = f(x) at a=0.

y'=2\cos 2(0)

y'=2(1)

y'=2

Therefore the slope of function at a=0 is 2.

7 0
3 years ago
Plz help this is due in 1 hour. 56a = 7/4. What is a?
elena-s [515]
To get a you have to have a on its own side
56a=7/4
divide 56 on both sides
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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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2 years ago
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