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Kaylis [27]
3 years ago
14

What is the equation of a line that passes through the points -2 -2 and has a slope of four

Mathematics
1 answer:
andrey2020 [161]3 years ago
7 0

Answer:

y = 4x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (- 2, - 2) into the partial equation

- 2 = - 8 + c ⇒ c = - 2 + 8 = 6

y = 4x + 6 ← equation of line

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Brilliant_brown [7]
You can find the x intercept of the equation by setting the value of y to zero and solving the equation. Similarly you can solve the y intercept by setting the value of x to zero and solving the equation. Now while solving this rational function for intercepts if you face a situation where the value in the denominator is zero it implies that there is no intercept in that case as dividing something by zero is indeterminate.
3 0
3 years ago
2 which of the following is a perfect cube<br> a) 400 -<br> D. 3375–<br> C 8000 -
allochka39001 [22]

Answer:

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A pyramid has a square base that is 14 centimeters on each side. the slant height is 15 centimeters. what is the surface area of
Aleks04 [339]
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3 years ago
if f is a differentiable function and f(0)=-1 and f(4)-3 then which of the following must be true there exists a c in [0,4] wher
iragen [17]

Answer:

True, see proof below.

Step-by-step explanation:

Remember two theorems about continuity:

  1. If f is differentiable at the point p, then f is continuous at p. This also applies to intervals instead of points.
  2. (Bolzano) If f is continuous in an interval [a,b] and there exists x,y∈[a,b] such that f(x)<0<f(y), then there exists some c∈[a,b] such that f(c)=0.

If f is differentiable in [0,4], then f is continuous in [0,4] (by 1). Now, f(0)=-1<0 and f(4)=3>0. Thus, we have the inequality f(0)<0<f(4). By Bolzano's theorem, there exists some c∈[0,4] such that f(c)=0.

7 0
3 years ago
Perform the indicated operation. 8/a - 6/a + 7/a
Jlenok [28]

Answer:

9/a

Step-by-step explanation:

8/a - 6/a + 7/a

Since the denominators are the same, we can add the numerators

8-6+7 =9

Then put it over the common denominator a

9/a

3 0
3 years ago
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