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pogonyaev
3 years ago
15

Find the slope of the line through points

Mathematics
1 answer:
gayaneshka [121]3 years ago
8 0

Answer:

The answer is

\huge  \frac{1}{9}  \\

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\

From the question we have

m =  \frac{3  - 2}{1 -  - 8}  =  \frac{1}{1 + 8}  =  \frac{1}{9}  \\

We have the final answer as

\frac{1}{9}  \\

Hope this helps you

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o-na [289]

Answer:

Proportionality Constant = k = \frac{1}{9}

Step-by-step explanation:

Equation is:

y = \frac{x}{9}

=> y = (\frac{1}{9} ) x

Comparing it with y = kx, where k is the proportionality constant, We get:

Proportionality Constant = k = \frac{1}{9}

4 0
4 years ago
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Consider the graph of the quadratic function y = 2x2 – 4x + 2.
Ierofanga [76]

Answer:

The function only has one zero.

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Step-by-step explanation:

8 0
3 years ago
Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the t
harina [27]

Answer:

Proportion states that the two fractions or ratios are equal

As per the statement: Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the tank. Once the new tank is in, it will cost her $72.96

Let the tank size now be x

Since, the gas tank expanded by 10 gallons = x + 10

by definition of proportion ;

\frac{x}{42.56}=\frac{x+10}{72.96}

by cross multiply we get;

72.96x = 42.56(x+10)

using distributive property;a\cdot (b+c) =a\cdot b + a\cdot c

72.96x = 42.56x+425.6

Subtract 42.56x from both sides we get;

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Divide both sides by 30.4 we get;

x = 14

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3 years ago
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Help me find the answer to this please. And also explain how to slove these problems.​
Evgen [1.6K]

Answer:

B and C

Step-by-step explanation:

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A minimum point occurs where all the nearby values are higher than that of the point in question.

A maximum point occurs where all the nearby points are lower than the point in question.

By looking at the graph, there is a maximum point around (4.5, 1.5) which is consistent with B but not A (since A talks about a minimum point)

By looking at the graph, there is a minimum point around (0.5, 1.5) which is consistent with C.

I've highlighted areas of interest below so hopefully that's helpful :>

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Step-by-step explanation:

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