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yanalaym [24]
3 years ago
11

What is the slope of the line with points (-1, 9) and (-3, -4)?

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
3 0

Answer:

C. \frac{13}{2}

Step-by-step explanation:

The formula to calculate slope is m=\frac{y2-y1}{x2-x1}

(-1, 9) is x1 and y1, (-3, -3) is x2 and y2 in this formula.

\frac{-4 - 9}{-3 - -1} --- plug in values

\frac{-13}{-2} --- simplify

\frac{-13}{-2} = \frac{13}{2}

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Point T is located at (6, –2) and point S is located at (1, 13). What are the coordinates of the point that is `\frac{4}{5}` of
vlabodo [156]

The coordinates of the point that is 4/5 of the way from T to S is (2,10)

<h3>How to determine the coordinates of the point?</h3>

The given parameters are:

T = (6,-2)

S = (1,13)

Location = 4/5

The location 4/5 means

Ratio, m : n = 4 : 1

The coordinate is then calculated as:

(x,y) = \frac{1}{m +n} * (mx_2 + nx_1,my_2 + ny_1)

This gives

(x,y) = \frac{1}{4 +1} * (4 * 1 + 1 * 6 , 4 * 13 + 1  * -2)

Evaluate

(x,y) = \frac{1}{5} * (10 , 50)

This gives

(x,y) =  (2,10)

Hence, the coordinates of the point that is 4/5 of the way from T to S is (2,10)

Read more about line segment ratio at:

brainly.com/question/12959377

#SPJ1

7 0
2 years ago
julie goes to the park across the street from her house several times a day and jogs a total of six miles every day. she jogs th
Semmy [17]
Julie jogs 0.75miles each time. set 'x' to represent the unknown number of times. Total distance for the day is 6 miles. So, you multiply the distance of each run 0.75 times 'x' (unknown number of runs) and set this equal to 6 miles.
0.75x = 6   (divide each side by 0.75)
8 = x 

She ran 8 times each day.
4 0
3 years ago
based on past games, the probablity that a basketball player will make his next free throw is 5/12. what is the probablity that
Svetradugi [14.3K]

Answer:

The probability would be 7/12

Step-by-step explanation:

Since making or missing a shot is a binary situation, we know that we can subtract the probability from 1 and get the opposite.

1 - 5/12 = 7/12

8 0
3 years ago
For her phone service, Lucy pays a monthly fee of $25, and she pays an additional $0.06 per minute of use. The least she has bee
Oliga [24]

Answer:

1312.5 minutes

Step-by-step explanation:

For her phone service, Lucy pays a monthly fee of $25, and she pays an additional $0.06 per minute of use. The least she has been charged in a month Is $103.72

What are the possible numbers of minutes she has used her phone in a month?

Use m for the number of minutes, and solve your inequality for m.

The term least = ≥ = greater than or equal to

Our inequality equation is given as:

$25 + $0.06 × m ≥ $103.72

25 + 0.06m ≥ 103.72

0.06m ≥ 103.72 - 25

0.06m≥ 78.75

m ≥ 78.75/0.06

m ≥ 1312.5 minutes

The possible number of minutes she used is 1312.5 minutes

6 0
3 years ago
What is <br>2/3 of 1/4 of x = 1360​
Murljashka [212]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{x = 8160}}}}}

Step-by-step explanation:

\sf{ \frac{2}{3}  \times  \frac{1}{4}  \times x = 1360}

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term

\longrightarrow{ \sf{ \frac{2 \times 1}{3 \times 4}  \times x = 1360}}

\longrightarrow{ \sf{ \frac{2}{12}  \times x = 1360}}

\longrightarrow{ \sf{ \frac{1}{6} x = 1360}}

Solve for x

\longrightarrow{ \sf{x = 1360 \times 6}}

\longrightarrow{ \sf{x = 8160}}

Hope I helped!

Best regards! :D

5 0
3 years ago
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