What is the sum of the two polynomials?

Mathematics

1 answer:

Yanka [14]3 years ago

4 0

Given:

The two models for the two polynomials.

To find:

The sum of the given polynomials.

Solution:

From the given figure, it clear that

$\text{First polynomial}=a^2+a+2$

$\text{Second polynomial}=-a-1$

Adding both polynomials, we get

$Sum=a^2+a+2+(-a-1)$

$Sum=a^2+a+2-a-1$

$Sum=a^2+1$

Therefore, the correct option is A.

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Why is the quotient of three divided by one-fifth different from the quotient of one-fifth divided by three? Tell a story that c

miskamm [114]

Answer:

These quotients are different because of what division means.

Step-by-step explanation:

When you divide you start with a total and break it into equal groups. If you started with three and broke them into groups of 1/5, that is different then starting with 1/5 and breaking into three groups.

If you had 3 cups of Chex mix and made servings of 1/5 of a cup. How many servings could you get? This is 3 divided by 1/5.

If you want to put tomatoes in 1/5 of your garden and you have 3 different tomatoes you want to plant. What fraction of the original garden will each type of tomato be in if they are evenly distributed.

7 0

2 years ago

Match the formula to the correct figure.

ss7ja [257]

It is asking you to move the right formula with its match.

Formula for a cylinder: π*R^2*H
So the first option goes to the first shape.

Example:
Radius=5
Length=10
π≈3.14
3.14*5²*10
=725 cm³ for the answer.

Formula for a square: l*w*h
So the 4th option goes with the 2nd shape.

Example: l=5 w=5 h=5
(Length * Width * Hieght)

5*5*5=125 for the answer.

Formula for a cone is: 1/3π*r^2*h
So the second option goes to the 3rd shape.

Example: r=3 h=11
π≈3.14
$\frac{1}{3} *3 ^{2} *11=33$
33 is your answer.

Formula for the pyramid would be: 1/3*b*h
So the 3rd option would go to the 4th shape.

Example:
b=2 h=10
$\frac{1}{3} *2*10=6.666667$
Rounded: 6.6

Hope this helps!~

(Look at the attachment)