MATHEMATICS HIGH SCHOOL

Find the roots of each polynomial equation X^3-2^2+5x-10=0.

Answers

Answer 1

Answer: x^3 - x^2 +5*(x - 2) = 0 <=> ( x^2)*(x - 2) +5*(x - 2) = 0 <=> (x - 2)*(x^2 + 5) = 0 =>
x = 2;

Answer 2

Answer:

Answer: x^3 - x^2 +5*(x - 2) = 0 <=> ( x^2)*(x - 2) +5*(x - 2) = 0 <=> (x - 2)*(x^2 + 5) = 0 =>

x = 2

Step-by-step explanation:

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How to solve 42-13 1/6

What two numbers multiply to be 16 and add to be 9

Answers

There are no numbers that multiply to be 16, and add to be 9.

Unless you meant 8 than there is 4 and 4

A manufacturer of metal washers needs to determine the cross-sectional area of each washer. If the outer radius of the washer is R and the radius of the hole is r, express the area of the washer as a polynomial. Factor this polynomial completely.

Answers

A=π(R+r)(R-r) is the factorization of the polynomial.

What is Polynomial?

Factoring a polynomial exists expressing the polynomial as a product of two or more factors; it stands somewhat like the reverse process of multiplying.

A polynomial exists as an expression consisting of indeterminates (also named variables) and coefficients, that concern only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

The hole in the washer will never contain an area because it does not occupy any surface of the object.

The area of any circle is $\pi r^(2)$ .

To discover the area of this washer, take the area of the outer circle minus the area of the inner circle (the hole).

$A=\pi R^(2)-\pi r^(2)$

$A=\pi\left(R^(2)-r^(2)\right)$

The term $\left(R^(2)-r^(2)\right)$ is a difference in perfect squares.

$A=\pi(R+r)(R-r)$

To learn more about Polynomial refer to:

brainly.com/question/1600696

#SPJ2

The c.s.a. is found by subtracting the area of the hole from the total area (including the hole):
$c.s.a.=\pi R^(2)-\pi r^(2)$
Factorizing completely we get:
$c.s.a.=\pi(R+r)(R-r)$

-6x+11 = 7-10x show all work

Answers

Answer:

Step-by-step explanation:

collect like terms ( when a negative sign crosses the equality sign it becomes positive and vice versa)

-6x + 10x=7-11

4x=-4

divide both sides by the coefficient of x

4x/4=-4/4

x=-1

Easy

-6x + 11 = 7 - 10x
Substract 11 from both sides=
-6x = -4 - 10x
Add 10x to both sides
4x = 4
Now divide both sides by the same factor
Answer is x = -1

what is the length of the diagonal of a non-regulation tennis court with length 20 feet and width 15 feet?

Answers

Answer:

25 feet

Step-by-step explanation:

Basically that non-regulation tennis court is a rectangle. You want to know the length of the diagonal. If you draw it on paper, you'll see that this then become 2 triangles... of which you have 2 sides, and are seeking the hypotenuse. So....

H² = A² + B²

H² = 20² + 15² = 400 + 225 = 625

H = 25 feet.

Answer:

The diagonal of a non-regulation tennis court = 25 feet

Step-by-step explanation:

Pythagorean theorem

Hypotenuse² = Base² + Height²

The tennis court is like a rectangle.

We can consider the court as made of two right angled triangle

To find the length of diagonal of court

Here base = 15 feet and height = 20 feet

Diagonal or hypotenuse can be written as,

Diagonal ² = Base² + Height²

= 15² + 20²

= 225 + 400

= 625

Diagonal = √625 = 25 feet

Therefore the diagonal of a non-regulation tennis court = 25 feet

Choose the value for which 2/a+8 is undefined

Answers

If the value is:

$\sf{(2)/(a+8)}$

Then it will be undefined when the denominator is equal to 0.

So set the denominator equal to 0

a + 8 = 0
a = -8

So when

$\huge{\boxed{\bf{a=-8}}}$

then the value will be undefined.

Just a note:

$\sf{(x)/(0)=}$ undefined

$\sf{(0)/(x)=0}$

For every penny Sam puts into his bank, Tara puts 4 pennies into her bank. If Sam puts 10 pennies into his bank, how many pennies does Tara put into her bank? Answer options with 4 options

Answers

Answer: If Tara puts 4 pennies in for every one Sam does then after he puts in 10 she would of put 40.

She put in 40 pennies. Hope this helps ;)

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