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3 years ago

Worth 10 points It’s a picture so it’s clear

Mathematics

2 answers:

Lynna [10]3 years ago

6 0

It’s the diameter half of that would be the radius

Klio2033 [76]3 years ago

5 0

Diameter because it’s the diameter

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The fraction a/b is in simplest terms and equal to the following:((2020^3)-1)/((2021^3)+1) . What is a + b?

blagie [28]

Consider the expression

$\dfrac{x^3-1}{(x+1)^3+1}$

Factorize the numerator and denominator a difference/sum of cubes:

$\dfrac{(x-1)(x^2+x+1)}{((x+1)+1)((x+1)^2-(x+1)+1)}$

Expand the denominator:

$\dfrac{(x-1)(x^2+x+1)}{(x+2)((x^2+2x+1)-(x+1)+1)}=\dfrac{(x-1)(x^2+x+1)}{(x+2)(x^2+x+1)}=\dfrac{x-1}{x+2}$

since x = 2020, and clearly 2020² + 2020 + 1 ≠ 0, so we can cancel the factor of x ² + x + 1. This leaves us with

$\dfrac{2020^3-1}{2021^3+1} = \dfrac{2020-1}{2020+2} = \dfrac{2019}{2022}=\dfrac{673}{674}=\dfrac ab$

so that a + b = 673 + 674 = 1347.

7 0

3 years ago

Can anyone help me as soon as possible??

matrenka [14]

Answer:

X = 16

Step-by-step explanation:

Notice that we are in the presence of two similar triangles, one larger than the other. The larger triangle is AED, and the smaller one is ACB.

Since there are similar triangles, we can write a proportionality between their known sides:

$\frac{side\,\,AD}{side\,\,AB} =\frac{side\,\,ED}{side \,\,CB}$

notice that AD = x + 6

AB = x

ED = 11

CB = 8

So now we can re-write the proportion and solve it for the unknown "x":

$\frac{side\,\,AD}{side\,\,AB} =\frac{side\,\,ED}{side \,\,CB} \\\\\frac{x+6}{x} =\frac{11}{8} \\8\,(x+6)=11\,x\\8\,x\,+\,48=11\,x\\48=11\,x-8\,x\\48=3\,x\\x=\frac{48}{3} \\x=16$

3 0

3 years ago

What is the answer in the picture above

Rudiy27

To solve this you must isolate x. First add 1 to both sides

x² - 1 + 1 = 0 + 1

x² = 1

Now you must take the square root of both sides to cancel out the square from the x

√x² = √1

x = 1 and x = -1

When you take the square root of a number you must remember to take both the positive and negative of the number

Hope this helped!

~Just a girl in love with Shawn Mendes

3 0

3 years ago

846 x (84) what is it?

photoshop1234 [79]

Answer:

The answer is 71064

Step-by-step explanation:

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3 years ago

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Algebra 1 - 25 POINTS I Need this done by today... Definitions: I NEED 7, 12 and 16!!

Mars2501 [29]

Im sorry but if you want someone to do this for you, you need a better picture.

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2 years ago

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