3 years ago

What is the line through the points (2,3) and (19,17)

Mathematics

1 answer:

hammer [34]3 years ago

3 0

Answer:

y-3=14/17(x-2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(17-3)/(19-2)

m=14/17

y-y1=m(x-x1)

y-3=14/17(x-2)

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Answer: (0;16) (4;0) (2;0) (-2;0).

Step-by-step explanation:

Y-intercepts of the graph of the function F(x)=x³-4x² - 4x + 16:

$x=0\\F(x)=0^3-4*0^2-4*0+16\\F(x)=16.\\Hence,\ (0;16).$

X-intercepts of the graph of the function F(x)=x³-4x² - 4x + 16:

$F(x)=0\\0=x^3-4x^2-4x+16\\0=(x^3-4x^2)-(4x+16)\\0=x^2*(x-4)-4*(x-4)\\0=(x-4)*(x^2-4)\\0=(x-4)*(x^2-2^2)\\0=(x-4)*(x-2)*(x+2)\\x-4=0\\x_1=4.\\Hence,\ (4;0)\\x-2=0\\x_2=2.\\Hence,\ (2;0)\\x+2=0\\x_3=-2.\\Hence,\ (-2;0).$

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Find the volume of a rectangular prism with the width of x-1, a length of x+1 and a height of 2x-3.

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Answer:

The Volume is equal to 2x^3-3x^2+2x-3

Step-by-step explanation:

Formula for the volume of a rectangular prism is V=WHL

We know that:

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So, V= (x-1)(x-1)(2x-3)

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(x^2+1)(2x-3)

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