Numbers 20 - 22 please

Answers

Answer 1

Answer: $(x+5)(x+2)=x^2+2x+5x+10=x^2+7x+10\n\n (x-1)(2x^2-4x+10)=2x^3-4x^2+10x-2x^2+4x-10=\n =2x^3-6x^2+14x-10\n\n (c^2-10)(4c+3)=4x^3+3c^2-40c-30$

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state the type of roots for a quadratic equation explaining how the discriminant helps you determine the type

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What number belongs in the green box?

Answers

It is 3hr to me and my sister makes me read that I have one more lol

How to write 2x+8 in word form

Answers

Answer: "two "x" plus eight" Is how you write it in word form- I hope this helps!^^

Step-by-step explanation:

2 times a number increased by 8

If a triangle has a height of 12 inches and a base of 5-inches what is its area

Answers

Area of triangle = 1/2 * base * hight
A = 1/2 * 12 * 5 = 30 inch^2

A=(1/2)bh
h=12
b=5
A=(1/2)(5)(12)
A=(1/2)(60)
A=30
answe ris 30 in^2

Please help thanks.

.___________.

Answers

Answer:

I am very positive that the answer is A.

Step-by-step explanation:

I believe it is A, because if you look at each of the input numbers there, they are 12, which divided by 2 is 6. 18, which divided by 2 is 9. 20, which divided by 2 is 10. 22, which divided by 2 is 11. This problem is a division problem.

The answer is a

Explanation: the input divided by two is the output

Joey and Armando live on the same st as the park. The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park. Write and solve an equation to find how far Joey walked to get to Armando's home.

Answers

Let's start by assuming Armando's house is between Joey's and the park.

Let $x$ be the distance Joey walked to Armando's house.

The park is 9/10 mile from Joey's home. Joey leaves home and walks to Armando's home. Then Joey and Armando walk 3/5 mile to the park.

$(9)/(10) = x + (3)/(5)$

$x = (9)/(10) - (3)/(5) = (9)/(10) -(6)/(10) = (3)/(10)$

That's probably the answer they're looking for. But what if the park is between Joey and Armando's houses or Joey is between the park and Armando? (The latter isn't really possible with the given distances.)

Let $a, b, c$ be the distances between three collinear points like we have here. Our equation is really a few equations in one, something like

$\pm a \pm b = \pm c$

Let's get rid of the plus/minuses. Squaring,

$a^2 + b^2\pm 2ab = c^2$

$\pm 2ab = c^2-a^2-b^2$

$4a^2b^2 = (c^2-a^2-b^2)^2$

For us, that's a quadratic equation for $c^2$

$4(9/10)^2(3/5)^2= (c^2-(9/10)^2 - (3/5)^2)^2$

I'll skip right to the solutions,

$c^2=(9)/(100) \textrm{ or } c^2=(9)/(4)$

$c=(3)/(10) \textrm{ or } c=(3)/(2)$

We could have gotten the 3/2 just by adding 9/10+3/5 but this was more fun.

How do you find the volume of an L-Block

Answers

To work this out, you need to picture the L as two different cuboids.

The " I "part of the L and the " - " part of the L .

You get the dimensions of "height, width, length" of the " I " part, multiply them together. Save this number

Then you do the same for the " - " part of the L. Save this number

Add the two numbers you saved.

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