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2 years ago

I need help to better understand this worksheet...

Mathematics

1 answer:

Murrr4er [49]2 years ago

3 0

Answer:

When you have a equation such as

y = 2x + 4

This means, that whatever x equals, do the rest equation for y. They give you a table, the numbers under x, you replace x with the x in the equation. Multiply it next to the number. Do the rest of the equation, that is how you get y.

Once you do all x numbers, you have to graph it.

X = run

Y = rise

X is the horizontal line

Y is the vertical line

---------------------------------------------------------------------------|

Look at the middle, the x numbers that are to the right of the vertical line are negative.

The ones to the left are positive.

The numbers that are on the top of y are positive

The numbers that are on the bottom are negative.

Hope this helps!

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2 years ago

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2 years ago

The length of a triangel is three times its with.if the perimiter is at its most 112 centemeters,witch is the greates possible v

iris [78.8K]

I am assuming you do not mean The length of a triangle and you mean The length of a rectangle because the answer you given are the formula for the perimeter of a rectangle. With that said, the answer is D.2w+2*(3w)112

The perimeter of a rectangle can be found by the following equation:

2L + 2W = P
OR
P = 2L + 2W
The equation P = 2L + 2W is read perimeter = 2 times Length + 2 times width

The Question:
The length of a rectangle is three times its width.if the perimeter is at its most 112 centimeters ,which is the greatest possible value of the the width.

The length of a rectangle
This means the perimeter

is
The word is means to use an equal sign

three times its width
This means 3 times w or 3w
The w = width

perimeter is at its most 112
This means <=
<= means less than or equal to

Ok so lets look at our equation

2L + 2W = P
2w + 2(3w) <= 112

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2 years ago

The triangle T has vertices at (-2, 1), (2, 1) and (0,-1). (It might be an idea to

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Rewrite the boundary lines y = -1 - x and y = x - 1 as functions of y :

y = -1 - x ==> x = -1 - y

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So if we let x range between these two lines, we need to let y vary between the point where these lines intersect, and the line y = 1.

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The integral with respect to x is trivial:

$\displaystyle\int_{-1}^1\int_{-1-y}^{1+y}\mathrm dx\,\mathrm dy=\int_{-1}^1x\bigg|_{-1-y}^{1+y}\,\mathrm dy=\int_{-1}^1(1+y)-(-1-y)\,\mathrm dy=2\int_{-1}^1(1+y)\,\mathrm dy$

For the remaining integral, integrate term-by-term to get

$\displaystyle2\int_{-1}^1(1+y)\,\mathrm dy=2\left(y+\frac{y^2}2\right)\bigg|_{-1}^1=2\left(1+\frac12\right)-2\left(-1+\frac12\right)=\boxed{4}$

Alternatively, the triangle can be said to have a base of length 4 (the distance from (-2, 1) to (2, 1)) and a height of length 2 (the distance from the line y = 1 and (0, -1)), so its area is 1/2*4*2 = 4.

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3 years ago

What is the volume of a sphere with a radius of 4 cm? Use 3. 14 for pi. Round to the nearest hundredth. 50. 24 cm³ 66. 99 cm³ 20

Nimfa-mama [501]

The volume of the sphere is 267. 95 cm³.

<h2>Given </h2>

The radius of the sphere is 4cm.

<h3>What is the volume of sphere?</h3>

The volume of a sphere is the three-dimensional space occupied by a sphere.

The volume of the sphere is determined by the following formula;

$\rm Volume = \dfrac{4}{3} \pi r^3$

Where r is the radius of the sphere.

Substitute all the values in the formula;

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Hence, the volume of the sphere is 267. 95 cm³.

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