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3 years ago

Write the expression as a difference of a monomial and a trinomial: 2a^4+5a^3-2a^2+4

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

6 0

<h3>Answer:</h3>

(2a^4+5a^3+4) -2a^2

<h3>Step-by-step explanation:</h3>

There are 4 terms. Your <em>trinomial</em> could consist of <em>any three</em> of them. Here, we've chosen to use the one with the negative sign as the monomial, because the question asks for a difference.

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What is a radius of a circle given by the equation x²-2x+8y-47=0

Zolol [24]

First, we are going to rewrite it as a parabola equation.
Rewrite.
$8y=-x^2+2x+47$
Divide by 8.
$y=-\frac{x^2}{8}+\frac{x}{4}+\frac{47}{8}$
Factor out coefficient.
$y=-\frac{1}{8}\left(x^2-2x\right)+\frac{47}{8}$
Then, we are going to convert x into square form.
$y=-\frac{1}{8}\left(x^2-2x+1\right)+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Convert the whole expression into square form.
$y=-\frac{1}{8}\left(x-1\right)^2+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Simplify.
$y=-\frac{1}{8}\left(x-1\right)^2+6$
Subtract 6 from both sides.
$y-6=-\frac{1}{8}\left(x-1\right)^2$
Divide by coefficient.
$-8\left(y-6\right)=\left(x-1\right)^2$
Rewrite in standard form.
$4\left(-2\right)\left(y-6\right)=\left(x-1\right)^2$

The radius of the circle will be -2. Also, no matter what the sign says, the radius has to always be positive.
Have a nice day! :)

7 0

3 years ago

Read 2 more answers

Hallie bikes 1 5/8 km before lunch and 6 1/4 km after lunch. How much farther does Hallie bike after lunch than before lunch? Ex

EleoNora [17]

Answer:

4 $\frac{5}{8}$ km

Step-by-step explanation:

To find how much farther Hallie biked after lunch compared to the amount she biked before lunch, we can subtract the amounts:

6 $\frac{1}{4}-1\frac{5}{8}$

However, we can only subtract fractions that have the same denominator, so we need to convert $\frac{1}{4}$ to a fraction with a denominator of 8:

$\frac{1}{4}=\frac{2}{8}$

Now, we can't subtract 2 from 8, so we need to 'borrow' from the 6 to make the fraction larger:

$6\frac{2}{8}=5\frac{10}{8}$

Now subtract: $5\frac{10}{8}-1\frac{5}{8}=4\frac{5}{8}$

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3 years ago

Find the volume of the figure. Round answer to nearest hundredths place.

nalin [4]

Answer: 540 nearest hundred is 500

Step-by-step explanation:

I multiplyed them together to get the answer.

7 0

3 years ago

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Subtract: (3x^2 − 8x + 3) − (−5x^2 + 4x − 5)

koban [17]

Answer:

Step-by-step explanation:

Add 3x^2 and 5x^2 now it = 8x^2

Add -8x and -4x = -12x

look at your answer choices the only one that has 8x^2-12x is A

6 0

4 years ago

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Please help me with this question and if you don't know it, pls don't answer. thank you!

kramer

Answer:

The triangles are similar because angle N=angle E and angle F=angle H.

Angle-Angle (AA or AAA) Similarity theorem: If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.

Step-by-step explanation:

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3 years ago