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Ierofanga [76]
3 years ago
13

Which of the following equations describes the line shown below? Check all that apply.

Mathematics
1 answer:
kondaur [170]3 years ago
7 0

Answer:

B and C

Step-by-step explanation:

Slope: 4-(-1)/-3-(-1)

Slope: 5/-2

Slope:-5/2

Point Slope form: y+1=-5/2(x+1)

Point Slope form: y-4=-5/2(x+3)

Correct answers are B and C

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Given the differential equation

5t^3 \frac{dx}{dt} +2x-2=0

The solution is as follows:

5t^3 \frac{dx}{dt} +2x-2=0 \\  \\ \Rightarrow5t^3 \frac{dx}{dt} =2-2x \\  \\ \Rightarrow \frac{5}{2-2x} dx= \frac{1}{t^3} dt \\  \\ \Rightarrow \int {\frac{5}{2-2x} } \, dx = \int {\frac{1}{t^3}} \, dt \\  \\ \Rightarrow- \frac{5}{2} \ln(2-2x)=- \frac{1}{2t^2} +A \\  \\ \Rightarrow\ln(2-2x)= \frac{1}{5t^2} +B\\  \\ \Rightarrow2-2x=Ce^{\frac{1}{5t^2}} \\  \\ \Rightarrow 2x=Ce^{\frac{1}{5t^2}}+2 \\  \\ \Rightarrow x=De^{\frac{1}{5t^2}}+1
3 0
3 years ago
The midpoint of AB is M(3,1).If the coordinates of A are (8,4) what are the coordinates of B
gulaghasi [49]

Answer:

The coordinates of B are (-2 , 9)

Step-by-step explanation:

A (8, 4)

M (3 , -1)

To calculate a midpoint you have to add the corresponding coordinates of each point and divide them by 2

(Ax + Bx) / 2 = Mx

(8 + Bx) / 2 = 3

8 + Bx = 3 * 2

Bx = 6 - 8

Bx = -2

(Ay + By) / 2 = My

( -1 + By) / 2 = 4

-1 + By = 4 * 2

By = 8 + 1

By = 9

The coordinates of B are (-2 , 9)

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