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Sveta_85 [38]
3 years ago
15

Find the slope of the line that contains the points (6, 8) and (2, 1).

Mathematics
2 answers:
yawa3891 [41]3 years ago
7 0

Answer:

7/4 or 1.75

Step-by-step explanation:

Assuming this is a linear function, you can use the slope formula of change in y-values divided by change in x-values. Take your y-values (8 - 1), which is seven. Then take your x-values (6-2), which is equal to 4. Then your slope is just 7/4 or 1.75.

Kruka [31]3 years ago
7 0

Answer:7/4

Step-by-step explanation:

(6,8) (2,1)

x0=6

y0=8

x=2

y=1

slope=(y-y0)/(x-x0)

Slope=(1-8)/(2-6)

Slope=-7/-4

Slope=7/4

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A plane can fly 540 miles with the wind in one hour less than it can fly 480 miles against the wind. The average wind speed is 3
Bess [88]

Answer:

The speed of the plane in still air = 150 mph

Step-by-step explanation:

This is a relative velocity question

Let the velocity of the plane in still air be v

And let the time the plane can fly 480 miles against the wind be t

(Velocity of the plane relative to the wind) = (velocity of plane) - (velocity of wind)

Flying against the wind

(Velocity of plane relative to the wind) = (480/t)

(Velocity of the plane) = v

(Velocity of the wind) = 30 mph

(480/t) = v - 30

t = 480/(v-30) (eqn 1)

Flying with the wind

(Velocity of plane relative to the wind) = 540/(t-1)

(Velocity of the plane) = v

(Velocity of the wind) = -30 mph

540/(t - 1) = v + 30

t - 1 = 540/(v+30) (eqn 2)

Since t is equal in both cases, substitute the value of t in eqn 1 into eqn 2.

[480/(v-30)] - 1 = [540/(v+30)]

Multiply through by (v+30)(v-30)

480(v+30) - [(v+30)(v-30)] = 540(v-30)

480v + 14400 - (v² - 900) = 540v - 16200

480v + 14400 - v² + 900 = 540v - 16200

v² + 540v - 480v - 16200 - 14400 - 900 = 0

v² + 60v - 31500 = 0

Solving the quadratic equation,

v = 150 mph or v = -210 mph

We'll pick the positive answer because of the directions we have established.

Therefore, the speed of the plane in still air = 150 mph

Hope this Helps!!!

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3 years ago
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Raise the unit selling price .25 cents from $2.50 to $2.75
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3 years ago
32 = 4(n – 5) and -s + 11 = 17 please solved Both of the following​
valina [46]

Answer:

n=13 s=-6

Step-by-step explanation:

Hope this helps :)

4 0
2 years ago
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What is the equation of the line in point-slope form?
Alisiya [41]

Answer: y=-2x+2/4

Step-by-step explanation:

6 0
3 years ago
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A 40 oz jar of peanut butter costs 5.25. how much does a 100 oz jar cost
Karolina [17]

Answer:

13.13

Step-by-step explanation:

5.25 x 100/40 is 13.125 which rounds up to 13.13

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