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Mila [183]
2 years ago
14

Change 5x-3y=3 in slope intercept and graph it

Mathematics
1 answer:
kenny6666 [7]2 years ago
4 0
An equation in the form of slope intercept is written as y=mx+b. That means that we need to get y positive, which we can do by adding 3y to each side, and then subtracting 3 from each side to get y by itself. Doing all of these steps, the equation becomes 3y=5x-3. But, we're not done because we still need to get y equal to one, which we can do by dividing each side of the equation by 3. This makes the equation become y=5/3x-1.

The graph of the equation looks like this:

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A line that includes the point (-3,-4) and (-4,f ) has a slope of 6. What is the value of f?
Eduardwww [97]

Answer:

f = -10

( -3, -4) ( - 4 , -10)

Step-by-step explanation:

Formula for slope

m =( y_2 - y_1)/(x _2 - x _1)

m = 6

6 = (y_2 - y_1) / (x _2 - x_1)

Substitute the points

( -3 , -4) ( -4 , f)

x_1 = -3

y_1 = -4

x_2 = -4

y_2 = f

Insert the values into

6 = (y_2 - y_1) / (x_2 - x_1)

6 = (f - (-4))/ ( -4 - (-3)

6 = ( f + 4)/ ( -4 + 3)

Cross multiply

6 ( -4 + 3) = f + 4

6 ( -1) = f + 4

-6 = f + 4

-6 - 4 = f

f = -6 - 4

f = -10

( -3 , -4) ( -3 , f)

The value of f is -10

( -3 , -4) ( -3 , -10)

8 0
3 years ago
Please help!! Evaluate the piece wise function at x=-4 and x=4.
hodyreva [135]

x = -4, so use the first equation, x^2 = -4^2 = -16

x = 4, use 3rd equation, sqrt(x) = sqrt(4) = 2

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2 years ago
The mean radius of Earth is 6,371.0 kilometres and the mean radius of Earth’s Moon is 1,737.5 kilometres.
OLEGan [10]

Answer: 29,113.2 km

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Circumference = 2 x π x radius

Replacing with the values given:

Earth's mean circumference = 2 π 6,371.0 = 40,030.2 km

Earth's moon mean circumference = 2 π 1,737,5= 10,917 km

Now, we have to subtract Earth's moon mean circumference to Earth's mean circumference:

40,030.2- 10,917 =29,113.2 km

Feel free to ask for more if needed or if you did not understand something.  

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2 years ago
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zzz [600]

Answer:

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Step-by-step explanation:

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