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Murljashka [212]
3 years ago
7

Graph the equation y=-x. is (5,5) on the line? what is the slope of the line?

Mathematics
1 answer:
bezimeni [28]3 years ago
4 0
You'll actually need to graph for the first segment
but the second part can be solved with algebra

The equation of the line is y(x)=-x

if we test the co0ordinates we can find if the point lies on the line

(5,5)
y(x)=-x

Using the x co-ordinate
y(5)= -5
y=-5

Leaving us with (5,-5)

Because (5,-5) is not (5,5)
This is not a point on the line

The slope of the line is -1 
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bulgar [2K]

Answer:

Correct option: first one -> y = (1/3)x + (10/3)

Step-by-step explanation:

The linear function that represents a line is:

y = ax + b

Where a is the slope and b is the y-intercept.

First we need to find the slope of the line that goes through (0, -3) and (3, -2).

Using both points, we can find the equation of the line:

x = 0 -> y = -3

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b = -3

x = 3 -> y = -2

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3a = 1

a = 1/3

The parallel line needs to have the same slope as the line, so we can model the parallel line with the following equation:

y = (1/3)x + b

The parallel line goes through the point (-4, 2), so we have:

x = -4 -> y = 2

2 = (1/3)*(-4) + b

b = 2 + (4/3)

b = 10/3

So the equation of the parallel line is:

y = (1/3)x + (10/3)

Correct option: first one

5 0
2 years ago
A horse ran 800 m and 40 seconds 1200 meters in 60 seconds and 480 m in 24 seconds is a proportional relationship if so what is
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Answer:

Step-by-step explanation:

Speed = distance travelled/time

A horse ran 800 m in 40 seconds. This means that the speed is

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The horse ran 1200 m in 60 seconds. This means that the speed is

1200/60 = 20 m/s

The horse ran 1200 m in 60 seconds. This means that the speed is

480/24 = 20 m/s

Since the horse's rate or speed is the same at each scenario, it means that the relationship between the distance covered by the horse and the time taken is proportional.

Let k represent the constant of proportionality. The constant of proportionality is 20. It represents speed of the horse.

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Let t represent the time in seconds.

Therefore

d = 20t

7 0
3 years ago
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Musya8 [376]

Answer:

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Step-by-step explanation:

8 0
3 years ago
On the Richter scale, the magnitude, M, of an earthquake is given by M= 2/3logE/Eo, where E is the energy released by the earthq
Ivahew [28]

Answer:

See below

Step-by-step explanation:

Part A

<em><u>Formula</u></em>

M = 2/3 * log(E/Eo)

<em><u>Givens</u></em>

M = ??

E = 2 * 10^15 joules

Eo = 10^4.4

<em><u>Solution</u></em>

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Part B

What the question is saying is that E/Eo = 10000

You don't have to figure out exact values.

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If you have choices, please list them.

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