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3 years ago

What is the step by step and answer

Mathematics

1 answer:

CaHeK987 [17]3 years ago

5 0

Remember C = pi * d (pi = 22/7 and d is the diameter which is 8400)
Substitute 22/7 and 8400 into the equation

C = 22/7 * 8400
C = 22 * 1200
C = 26400 miles

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Find the slope-intercept form of the equation of the line through the point (0, -4) and (1, 0).

Arisa [49]

Answer:

The Slope Intercept form of the equation through the point (0, -4) and

(1, 0) is y = 4 x - 1

Step-by-step explanation:

Here, the given points are A (0,-4) and B(1,0)

Now, slope of the equation with points (a,b) and (c,d) is given as

$m = \frac{d - b}{c -a}$

So, here the slope of the line AB is given as:

$m = \frac{0 - (-4)}{1-0} = \frac{4}{1} = 4$

⇒ m = 4

Now, by POINT SLOPE form:

The equation with slope m and point (x0 , y0) is represented as :

(y-y0) = m (x-x0)

⇒ The equation of AB is of the form with point (1,0) is

y - 0 = 4 (x -1)

or, y = 4 x - 1

Also, the SLOPE INTERCEPT form of an equation is of the form

y = m x + C ; m = slope and C = y -intercept

Hence, the slope intercept form of the equation through the point (0, -4) and (1, 0) is y = 4 x - 1

4 0

3 years ago

Write an equation in point-slope form of the line that passes through the point 4,-1and has slope of -5

Basile [38]

Answer:

y=-5+19

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -5. So you can right away fill in the equation for a line somewhat to read:

y=-5x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(4,-1). When x of the line is 4, y of the line must be -1.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the -5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (4,-1).

So, why not plug in for x the number 4 and for y the number -1? This will allow us to solve for b for the particular line that passes through the point you gave!.

(4,-1). y=mx+b or -1=-5 × 4+b, or solving for b: b=-1-(-5)(4). b=19.

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Answer:

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