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3 years ago

What is the slope represented in the table ?

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

4 0

Answer:

slope:2

Step-by-step explanation:

Slope is rise/run, or change in y/change in x.

With that being said, we only need two points to solve this.

Let's take the points (0,7) and (1,9)

The formula for finding the slope from two points is m=(y2-y1)/(x2-x1).

M is the slope.

y2 would be the y-value of the second point,9. y1 would be the y-value of the first point, 7.

x2 would be the x-value of the second point, 1. x1 would be the x-value of the first point, 0.

Plugging those values in to the formula, we get m=(9-7)/(1-0)

Simplifying, we get m=2/1, which is m=2.

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4 years ago

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At noon, ship A is 130 km west of ship B. Ship A is sailing east at 25 km/h and ship B is sailing north at 20 km/h. How fast is

Hitman42 [59]

Answer:

answer = 12.87 km/h

Step-by-step explanation:

Given

Ship A is sailing east at 25 km/h = $\frac{dx}{dt}$

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so equation will be

$z^2 = (130-x)^2 + y^2......................(i)\\put x = 100 and y = 80 \\\\we | | get \\$

$z^2 = 30^2 + 80^2\\z =\sqrt{7300} km/h$

derivative first equation w . r. to t we get

$2z\frac{dz}{dt} =$ $-2(130-x)\frac{dx}{dt}$ $+2y\frac{dy}{dt}$

$\frac{dz}{dt} =\frac{1}{z}[(x -130)\frac{dx}{dt} +y\frac{dy}{dt}]$

$\frac{dz}{dt} = \frac{( -20\times25 + 80\times20)}{\sqrt{7300} }$

$= \frac{1100}{85.44}\\ = 12.87km/h$

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Determine whether (3, 2) and (2, - 1) are solutions to the equation – 3x + y = - 7.

Leona [35]

Answer:

Step-by-step explanation:

plug in (3,2) to see if it's a solution:

A) does -3(3) + 2 equal -7? yes

B) since 'A' is a solution then 'B' cannot be the answer

C) since (3,2) is a solution then 'C' cannot be the answer

plug in (2,-1) to see if it's a solution:

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