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3 years ago

What is the distance between the y-intercepts of the lines? Adding a picture please help

Mathematics

1 answer:

DerKrebs [107]3 years ago

6 0

The equation of a line is:

y = mx + c

The m is the gradient of the line, and the c is the y-intercept of the line

That means that the y-intercept of [y = -4x + 3] is 3

and the y-intercept of [y = -4x + 4] is 4

So the distance between the two y-intercepts is:

4 - 3 = 1

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Find the volume of the rectangular prism. Use the dimensions shown. NEED HELP ASAP!!!!!

mylen [45]

Answer:

The Volume is 660^3.

Step-by-step explanation:

The formula is Length * Width * Height.

22 * 5 * 6 = 660 and its volumed so the units is cubed.

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3 years ago

If the smaller pyramid has a surface area of 25.49 ft2, what is the surface area of the larger pyramid? Round to the nearest hun

Katyanochek1 [597]

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Step-by-step explanation:

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3 years ago

Trevor is analyzing a circle, y2 + x2 = 49, and a linear function g(x). Will they intersect?

melomori [17]

We have a circumference that is given by the following equation:

$x^{2}+y^{2}=49$

We can write this equation in its standard form as follows:

$x^{2}+y^{2}=7^{2} \\ where \ the \ radius \ r=7$

On the other hand, the linear function is given as the following table:

$x \ \ \ \ \ \ \ \ g(x) \\ -1 \ \ -9.2 \\ 0 \ \ \ \ \ -9 \\ 1 \ \ \ \ \ -8.8$

To check if the circle and the line intersects, let's substitute the equation of the line into the equation of the circle to see if there is a real solution, so:

$x^{2}+(0.2x-9)^{2}=49 \\ \\ \therefore x^{2}+0.04x^{2}-3.6x+81=49 \\ \\ \therefore 1.04x^{2}-36x+32=0 \\ \\ Solving \ for \ x: \\ x_{1}=33.70 \\ x_{2}=0.91 \\ \\ Solving \ for \ y: \\ y_{1}=0.2(33.70)-9=-2.26 \\ y_{2}=0.2(0.91)-9=-8.18$

Finally the intersects are:

$P_{1}(33.70, -2.26) \ and \ P_{2}(0.91, -8.18)$

7 0

3 years ago

Read 2 more answers

A musician

marysya [2.9K]

Answer:

Step-by-step explanation:

I'm assuming this is what the question means, so basically every 4/125 discs are defective, and 125 fits into 2000, 16 times so you multiply 4/125*16/16 so you get 64/2000.hope this helps

5 0

3 years ago

5(3 – x) + 1 = 3(x+4)

Yuri [45]

Step-by-step explanation:

<h3>✞︎Given</h3>

5(3-x)+1=3(x+4)

Solve Equation

<h3>✞︎Solution</h3>

$\tt\large\underline{15-5x+1=3x+12}$