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andrey2020 [161]
3 years ago
15

Graph the line through points (-1, -3) and (7, -8) From the graph, tell whether the slope is..

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
8 0

Answer:

a) Negative slope

m=-\frac{5}{8}

Step-by-step explanation:

The graph of the given line is shown in the attachment.

We can see from the grap that, the line is sloping backwards.

Therefore the line has a negative slope.

The given points are (-1,-3) and (7,-8).

We use the formula m=\frac{y_2-y_1}{x_2-x_1} to find the slope of this line.

\implies m=\frac{-8--3}{7--1}

\implies m=\frac{-8+3}{7+1}

\implies m=-\frac{5}{8}

We can confirm from the result of our calculation that the slope is actually negative.

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Step-by-step explanation:

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3 years ago
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The area of a cross section perpendicular to the base of a rectangular prism is 45 square inches. If the length and width of the
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The height of the prism is 2.25 \ in

Explanation:

It is given that the area of the cross section of the rectangular prism is 45 square inches.

Length of the rectangular prism is 5 \ in

Width of the rectangular prism is 5 \ in

To determine the height of the prism, let us substitute these values in the formula SA=(2l+2w)h , we get,

45=(2(5)+2(5))h

Multiplying the terms within the bracket, we get,

45=(10+10)h

Adding the terms within the bracket, we have,

45=20h

Dividing both sides by 20, we get,

2.25=h

Thus, the height of the rectangular prism is 2.25 \ in

4 0
3 years ago
the price of a technology stock was $9.53 yesterday. Today, the price rose to $9.66. Find the percentage increase. Round your an
galben [10]
So, 9.66 - 9.53 will then be 0.13, so if we take 9.66 to be the 100%, what is 0.13 off of it in percentage then?

\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
9.66&100\\
0.13&p
\end{array}\implies \cfrac{9.66}{0.13}=\cfrac{100}{p}\implies p=\cfrac{0.13\cdot 100}{9.66}
6 0
3 years ago
A factory is fabricating seats for minor-league baseball stadium. The stadium holds 7500 individuals in the factory can fabricat
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Answer:

23 days

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We are told that the stadium holds 7500 individuals.

Now, if 600 seats have already been made, It means the number of seats left to be made to complete the stadium = 7500 - 600 = 6900 seats

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Thus, it will take 23 days to complete all the 7500 seats.

5 0
3 years ago
During a baseball game, a food stand sells popcorn for $2.50 and hotdogs for $3 each. If at the end of the game, the stand made
nasty-shy [4]
Let
x-------> bags of <span>popcorn
</span>y-------> bags of hotdogs

we know that
2.50x+3y=200-------> equation 1
x=2y--------> equation 2

substitute 2 in 1

2.50*[2y]+3y=200--------> 5y+3y=200------> 8y=200-----> y=200/8
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the answer is
50 bags of popcorn
25 bags of hotdogs<span />
5 0
4 years ago
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