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puteri [66]
2 years ago
12

Find the slope of the line that passes through the pair of points. (11, 7), (−6, 2)

Mathematics
2 answers:
Anit [1.1K]2 years ago
8 0

Answer:

Slope is 5/17.

Step-by-step explanation:

Subtract the y's and put on top of a fraction. Subtract the x's and put on the bottom of the fraction. Simplify. Be sure to start with the x and y that go together in front of the minus sign and end with the other x and y behind the minus sign.

7 - 2 put 5 on top.

11 - -6 is 17 (because 11 - -6 is the same as 11+6)

So you get 5/17 and it cannot be simplified so it is your answer.

Georgia [21]2 years ago
3 0

Answer:

  • 5/17

Step-by-step explanation:

<u>Use the slope formula:</u>

  • m = (y₂ - y₁)/(x₂ - x₁)

<u>We have two points:</u>

  • (x₁, y₁) = (11, 7) and (x₂, y₂) = (- 6, 2)

<u>Substitute the coordinates into the slope formula:</u>

  • m = (2 - 7)/(-6 - 11) = - 5 / - 17 = 5/17
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The mathematical model C=500x+70000 represents the cost in dollars a company has in manufacturing x items during a month. How ma
Mashutka [201]

Answer:

500 items

Step-by-step explanation:

plug the $320000 into C

320000=500x+70000

1. substract 70000 from both sides (always get rid of adding/substracting first)

320000=500x+70000

<u>-70000 -70000</u>

250000=500x

2. divide both sides by 500 (you divide both sides by whatever number is in front of x so you can isolate it)

<u>250000/500=500x/500</u>

500=x

there you go :D good luck and have a good day

5 0
3 years ago
5(−2) + (2−)2 <br> when =3 and =−2
lyudmila [28]

Answer:

36 is the final value for the equation you posted

Step-by-step explanation:

We are told that = 3 and = −2.

Let's plug these values into the equation.

= (5 ( − 2) + (2 − )^2)

= (5 (3 − 2(−2)) + (2 − 3)^2)

= (5 (3 + 4) + (−1)^2)

= (5 (7) + 1)

= 35 + 1

= 36

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3 years ago
From 1970 to 1990 the consumer price index increased from 38.8 to 130.7. If a tube of toothpaste cost 0.77 in 1970 and the price
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What are the coordinates of the point on the directed line segment from (-6, -6)(−6,−6) to (9, -1)(9,−1) that partitions the seg
GrogVix [38]

Answer:

(0, -4)

Step-by-step explanation:

The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)

The ratio the required point partitions the line = 2 to 3

The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;

\left(\dfrac{a}{a + b} \times (x_1 - x_2)+ x_1, \ \dfrac{a}{a + b} \times (y_1 - y_2)+ y_1 \right)

Therefore, the required point is located as follows;

\left(\dfrac{2}{2 + 3} \times (9 - (-6))+ (-6), \ \dfrac{2}{2 + 3}\times (-1 - (-6))+ (-6) \right) = (0, -4)

The coordinates of the point is (0, -4)

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3 years ago
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