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3 years ago

Is it acute, obtuse, or right?

Mathematics

2 answers:

Mumz [18]3 years ago

7 0

Answer:

uh i think thats acute so maybe a?

enyata [817]3 years ago

4 0

It is acute I hope it helps :)

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Factor completely 81x^8-1

marysya [2.9K]

The complete factorized form for the given expression is $\left(9 x^{4}+1\right)\left(3 x^{2}+1\right)\left(3 x^{2}-1\right)$

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

Step 1: Given expression:

$81 x^{8}-1$

Step 2: Trying to factor as a Difference of Squares

Factoring $81 x^{8}-1$

As we know the theory that the difference of two perfect squares, $A^{2}-B^{2}$ can be factored into (A+B) (A-B)

from this, when analysing, 81 is the square of 9, $x^{8}$ is the square of $x^{4}$ . Hence, we can write the given expression as,

$\left(9 x^{4}\right)^{2}-1^{2}$

By using the theory, we get

$\left(9 x^{4}+1\right)\left(9 x^{4}-1\right)$

Again, we can further factorise the term $\left(9 x^{4}-1\right)$

$9 x^{4}$ is the square of $3 x^{2}$ . Therefore, it can be expressed as below

$\left(3 x^{2}+1\right)\left(3 x^{2}-1\right)$

Now, we can not factorise further the term $\left(3 x^{2}-1\right)$ . Because it will come as $\sqrt{3} x$ (3 is not a square term). Thereby concluding that the complete factorisation for the given expression is $\left(9 x^{4}+1\right)\left(3 x^{2}+1\right)\left(3 x^{2}-1\right)$

8 0

4 years ago

Which is greater: 25% of 15 or 15% of 25? Explain your reasoning using algerbreaic representations or visual models

Bingel [31]

25% of 15 is the same as 15% of 25
25%=25/100
25% of 15=(25/100)15=(25*15)/100

15%=15/100
15% of 25=(15/100)25=(25*15)/100

Therefore:
25% of 15=15% of 25
because:
(25/100)15=(15/100)25
(25*15)/100=(25*15)/100
3.75=3.75

5 0

3 years ago

Is y= 3x-2 a function

Drupady [299]

Yes y=3x-2 is a function

5 0

3 years ago

The concession stand sells hot dogs and soda during Beck high school football games John bought six hotdogs and four Sotos and p

siniylev [52]

Question is not proper, Proper Question is given below;

The concession stand sells hot dogs and drinks during their high school foot ball game. John bought 6 hot dogs and 4 soda and paid $6.70. Jessica bought 4 hot dogs and 3 Soda and paid $4.65. What is the price of a hot dog and a Soda?

Answer:

Hot dog cost for $0.75 and Soda cost for $0.55.

Step-by-step explanation:

Let the Price of each Hot dog be x.

Also Let the price of each Soda be y.

Now Given:

John bought 6 hot dogs and 4 Soda and paid $6.70.

Now Total Money paid by John is equal to Sum of Number of hot dogs he bought multiplied by Cost of each hot dogs and Number of Soda he bought multiplied by cost of each soda.

Framing in equation form we get;

$6x+4y=6.70$

Dividing by 2 on both sides we get;

$\frac{6x}{2}+\frac{4y}{2}=\frac{6.70}{2}\\\\3x+2y=3.35 \ \ \ \ equation\ 1$

Also Given:

Jessica bought 4 hot dogs and 3 Soda and paid $4.65.

Now Total Money paid by John is equal to Sum of Number of hot dogs he bought multiplied by Cost of each hot dogs and Number of Soda he bought multiplied by cost of each soda.

Framing in equation form we get;

$4x+3y=4.65 \ \ \ \ equation \ 2$