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2 years ago

Use the substation to solve the system of equations. Y=x+1.75 4x-2y=4

1 answer:

3 0

So we need to plug in y into our equation so our new equation is:

4x - 2(x+1.75) = 4

first lets distribute the 2 by multiplying the values inside the parentheses by 2

4x - 2x + 3.5 = 4

4x - 2x = 2x

so now our equation is 2x + 3.5 = 4

we need to get x by itself on one side of the parentheses so lets move the 3.5 by subtracting by 3.5 on both sides

2x + 3.5 = 2x
4 - 3.5 = .5

new equation: 2x = .5

now to get rid of this 2 (being multiplied by x) we simply have to do the opposite - divide by 2 on each side

2x/2 = x
.5/2 = .25

so our x value is equal to .25!

if you have any questions about how i answered this question please let me know:)

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2 years ago

What is the volume of this cone?

olchik [2.2K]

Answer:

The volume of the cone is approximately 453.0 cm³

Step-by-step explanation:

The volume of a cone is one third that of a cylinder with the same height and radius. That gives us 1/3 πr²h, where r is radius and h is height.

However, we are not given the height of the cone, but the side length. We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length. You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:

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So we can find the height of the cone with that:

$10.8^2 = 7.4^2 + h^2\\h^2 = 10.8^2 - 7.4^2\\h^2 = 116.64 - 54.76\\h^2 = 61.88\\h = \sqrt{61.88}\\h \approx 7.9$

Now that we have the cone's height, we can solve for its volume:

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3 years ago

Read 2 more answers

If x=-4 what is the value of the following expression?

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Step-by-step explanation:

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