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Elenna [48]
2 years ago
6

What's the slope of the line passing through the points -1, 8 - 7, 3​

Mathematics
1 answer:
tatuchka [14]2 years ago
5 0

Answer:

slope = 5/6

Step-by-step explanation:

Since you were given two points, you can use the point-slope formula to find the slope. The general equation looks like this:

y₁ - y₂ = m(x₁ - x₂)

In this formula, "m" represents the slope. To find the slope, plug the values from the two points into the equation. Make sure to put the values from the same point in the variable with the same number.

Point 1: (-1, 8)

Point 2: (-7, 3)

y₁ - y₂ = m(x₁ - x₂)                          <----- Original formula

8 - y₂ = m(-1 - x₂)                           <----- Plug in "x" and "y" values from Point 1

8 - 3 = m(-1 - (-7))                           <----- Plug in "x" and "y" values from Point 2

5 = m(-1 - (-7))                                <----- Simplify left side

5 = m(6)                                        <----- Simplify inside parentheses

5/6 = m                                       <----- Divide both sides by 6

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Answer:

When graphing a linear inequality on a number line, use an open circle for <em><u>"less than" or "greater than",</u></em> and a closed circle for "less than or equal to" or "greater than or equal to".

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ElenaW [278]

Answer:

n(S\cap F \cap R)=7

Step-by-step explanation:

The Universal Set, n(U)=2092

n(S)=1232\\n(F)=879\\n(R)=114

n(S\cap R)=23\\n(S\cap F)=103\\n(F\cap R)=14

Let the number who take all three subjects, n(S\cap F \cap R)=x

Note that in the Venn Diagram, we have subtracted n(S\cap F \cap R)=x from each of the intersection of two sets.

The next step is to determine the number of students who study only each of the courses.

n(S\:only)=1232-[103-x+x+23-x]=1106+x\\n(F\: only)=879-[103-x+x+14-x]=762+x\\n(R\:only)=114-[23-x+x+14-x]=77+x

These values are substituted in the second Venn diagram

Adding up all the values

2092=[1106+x]+[103-x]+x+[23-x]+[762+x]+[14-x]+[77+x]

2092=2085+x

x=2092-2085

x=7

The number of students who have taken courses in all three subjects, n(S\cap F \cap R)=7

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3 years ago
Describe how you made a line plot in this lesson
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What lesson are we talking about I will be happy to help.
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Answer:

Today: Tuesday, 12th January 2021

16.31 PM

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=  \tt \frac{9}{2}  -  \frac{4}{3}

=  \tt  \frac{27 - 8}{6}

\tt  =  \frac{19}{6}

{\orange{\boxed{\red{ \tt  = 3 \frac{1}{6} }}}}

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2 years ago
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qwelly [4]

Answer:

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Real part = 3  & imaginary part = 1

2) 4 + 7i - 8 = 4 -8 + 7i

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b) 1) 6 + 4i

2) -12+ 5i

3) 5-14i

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