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mr Goodwill [35]
2 years ago
7

Find the equation of the line that passes through the given point and has the given slope. (Use x as your variable.)

Mathematics
1 answer:
devlian [24]2 years ago
4 0

Answer:

Slope form of line  y = 9

Step-by-step explanation:

m= 3

The y-intercept of the line that passes through the given point  (0,9) is

 9 = 3(0) + b

  b= 9

The equation of the line that passes through the given point  (0,9) is

y =mx +b

 y = 0 +9

y=9

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Over [174]

The tangent to y at the point (0, 5) has a slope equal to the derivative evaluated at x=0.

y=x^4+5e^x\implies y'=4x^3+5e^x\implies y'(0)=5

This tangent passes through the point (0, 5), so its equation is

y-5=5(x-0)\implies y=5x+5

The normal line passes through the same point, but is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent. So the equation for the normal line is

y-5=-\dfrac15(x-0)\implies y=5-\dfrac x5

3 0
3 years ago
What is the length of the longest side of a triangle that has vertices at (-2,6) (-4,6) and (-4,4)?
zalisa [80]

Length (2, 6) to (-4, 6) is sqrt((x2 - x1))^2 + (y2 - y1)^2) = sqrt((-4 -2)^2 + (6 - 6)^2) = sqrt((-6)^2 + 0) = 6

Length (2, 6) to (-4, 4) is sqrt((-4 - 2)^2 + (4 - 6)^2) = sqrt((-6)^2 + (-2)^2) = sqrt(36 + 4) = sqrt(40)  = 2sqrt(10) units

Length (-4, 6) to (-4, 4) is sqrt((-4 - (-4))^2 + (4 - 6)^2) = sqrt(0^2 + (-2)^2) = 2

So the length of the longest side is 2sqrt(10) units
6 0
2 years ago
If there are 13 inches of snow in 8 hours how many inches in are there 1 hour
Ugo [173]

Here is 3 different ways to write how much snow fell in one hour

  1. Exact form (improper fraction) form: 13/8
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All u need to do is divide 13 by 8

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Answer:

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Step-by-step explanation:

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3 years ago
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