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jasenka [17]
3 years ago
7

The price of Philip's favorite candy has been reduced by $0.15 per piece. Philip buys 14 pieces and spends $3.22.

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
4 0
The regular price for each piece would be $0.38
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Which term could be put in the blank to create a fully simplified polynomial written in standard form?
Katena32 [7]

Correct Question:

Which term could be put in the blank to create a fully simplified polynomial written in standard form?

8x^3y^2 -\ [\ \ ] + 3xy^2 - 4y3

Options

x^2y^2            x^3y^3         7xy^2         7x^0y^3

Answer:

x^2y^2

Step-by-step explanation:

Given

8x^3y^2 -\ [\ \ ] + 3xy^2 - 4y^3

Required

Fill in the missing gap

We have that:

8x^3y^2 -\ [\ \ ] + 3xy^2 - 4y^3

From the polynomial, we can see that the power of x starts from 3 and stops at 0 while the power of y is constant.

Hence, the variable of the polynomial is x

This implies that the power of x decreases by 1 in each term.

The  missing gap has to its left, a term with x to the power of 3 and to its right, a term with x to the power of 1.

This implies that the blank will be filled with a term that has its power of x to be 2

From the list of given options, only x^2y^2 can be used to complete the polynomial.

Hence, the complete polynomial is:

8x^3y^2 -x^2y^2+ 3xy^2 - 4y3

4 0
3 years ago
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Find the area of the figure.
OleMash [197]

Answer:  23in squared

Step-by-step explanation:

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Make a the subject of a2+b2=c2
wel

Answer:

a=\sqrt{c^2-b^2

⇒ a=\sqrt{(c+b)(c-b)}        [Factorized form]

Step-by-step explanation:

Given expression:

a^2+b^2=c^2

We need to make a the subject.

In order to do that we need to solve the expression for a in terms of b and c

We have,

a^2+b^2=c^2

Subtracting both sides by b^2

a^2+b^2-b^2=c^2-b^2

a^2=c^2-b^2

Taking square root both sides in order to remove square of a

\sqrt{a^2}=\sqrt{c^2-b^2}

a=\sqrt{c^2-b^2

The difference of squares can be factorized and written  as:

a=\sqrt{(c+b)(c-b)}    [difference of squares x^2-y^2=(x+y)(x-y) ]

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What does a 45 degree angle look like
Stolb23 [73]
This is what a 45 degree angle looks like.
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Answer:

the correct answer is -6

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