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Pavlova-9 [17]
3 years ago
5

Which of the following scatterplots would have a trend line with a negative slope?

Mathematics
1 answer:
Annette [7]3 years ago
4 0

Answer:

A scatter plot shows a negative trend if y tends to decrease as x increases. A scatter plot shows no trend if there is no obvious pattern.

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Write an equation in standard form for the line that passes through the given points (0,-3) and (7,0)
nata0808 [166]

The equation in standard form that passes through (0, -3) and (7, 0) is 3x – 7y = 21

<u>Solution:</u>

Given, two points are (0, -3) and (7, 0)

We have to find that a line that passes through the given two points in standard form.

First let us find the slope of the line that passes through given two points.

The slope of the line "m" is given as:

\mathrm{m}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \text { where, }\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right) \text { are two points on line. }

\text { So slope of our line }=\frac{-3-0}{0-7}=\frac{-3}{-7}=\frac{3}{7}

Now, let us find the line equation using point slope form:

\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right) \text { where } \mathrm{m} \text { is slope and }\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right) \text { is point on the line. }

\text { Then, line equation } \rightarrow y-0=\frac{3}{7}(x-7)

7(y – 0) = 3(x – 7)

7y = 3x – 21

3x – 7y = 21

Hence, the line equation in standard form is 3x – 7y = 21.

3 0
4 years ago
Classify the following triangle as Acute, Obtuse , or right
Kazeer [188]

Answer:

The triangle is Acute.

Step-by-step explanation:

Good Luck

6 0
3 years ago
Mike took a taxi from his home to the airport. The taxi driver charged an initial fee of $6 plus $3 per mile. The total fare was
barxatty [35]
Hello! To solve this problem, we can write and solve an equation. Set it up like this:

6 + 3m = 24

This is because 6 is the one-time fixed price and you pay $3 per mile. Subtract 6 from both sides in order to get 3m = 18. Now, divide each side by 3 to isolate the “m”. 18/3 is 6. There. m = 6. Mike traveled 6 miles by taxi.
3 0
4 years ago
Read 2 more answers
Pleas help i will give a lot of points IF you answer this ?
avanturin [10]

Answer:

Inverse Operations

Inverse operations

Division

Step-by-step explanation:

+4 on both sides

-17 both sides

Divide by 20 both sides.

6 0
3 years ago
1. How many ways are there to make an octagon with 19 different sticks when order DOESN’T matter?
mart [117]

Answer:

1. 19C8 = 75582

2. 19P8= 3047466240

Step-by-step explanation:

First, find the number of ways to get 8 sticks from 19. At first, you have 19 choices, then 18, then 17, all the way to 12. Giving you 19*18*17*...*13*12, or 19!/11!.

Combination:

When order doesn't matter, you have to divide 19!/11! by the number of ways to order 8 sides, or 19!/11!/8!=19C8=75582

Permutation:

When order doesn't matter, you don't have to divide 19!/11! by the number of ways to order 8 sides, since you count each of these, and 19!/11!=19P8=3047466240.

6 0
4 years ago
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