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3 years ago

Factorize completely: 5 - 45/a^2

Mathematics

1 answer:

mamaluj [8]3 years ago

7 0

$5- \frac{45}{a^2} = \boxed {5\left (1- \left (\frac{3}{a}\right)^2\right) }$

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Se the FOIL method to evaluate the expression: (5+2)(4-5)

DaniilM [7]

The FOIL method is a method of expanding two given brackets by following the required steps. Thus using the FOIL method, the required answer is: -7

Expansion of brackets may be done using different methods, but these methods would give the same answer. Some methods that can be used are the binomial expansion method, FOIL method, etc.

The FOIL method is a shortened form of the steps required for the process. These required steps are First, Outside, Inside, and last.

Thus to expand the given brackets in the question, we have;

(5+2)(4-5) = 5(4 - 5) + 2(4 - 5)

= 20 - 25 + 8 - 10

= 28 - 35

(5+2)(4-5) = -7

Thus using the FOIL method, the answer to the question is -7.

Quick check: (5+2)(4-5) = (7)(-1)

= -7

For more clarifications on expansion of brackets using the FOIL method, visit: brainly.com/question/1592629

#SPJ 1

3 0

2 years ago

Please answer this correctly

Amanda [17]

Answer:

Step-by-step explanation:

If we divide 9,795 by 7 we get:

=1399.28571429

Rounding to the nearest hundredth:

Underline the hundredths place: 1399.28571429

Look to the right. If it is 5 or above 5 then we give it a shove.

If it is 4 or less than 4, we let it go.

In our case it is 5. We will add 1 in 8, then it will become 9. 28 will be rounded off as 29.

Therefore the answer after rounding off to the nearest hundredth is 1399.29....

4 0

3 years ago

Which expression is equivalent to 7 2/3 ⋅ 7 1/4?

dimulka [17.4K]

Answer:

Step-by-step explanation:

Recall that $7^a\cdot 7^b = 7^{a+b}$

So now

$7^{2/3} \cdot 7^{1/3}\\= 7^{\frac{2}{3}+\frac{1}{4}}\\=7^{\frac{8}{12}+\frac{3}{12}}\\=7^{11/12}$

8 0

2 years ago

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The unit circle has a radius of 1 unit and is centered at the origin. It is dilated so that it passes through the point . What i

yuradex [85]

Answer:

Step-by-step explanation:

3 0

2 years ago

4x + 12 = -7y -y + 12 = 4x Solve with elimination

statuscvo [17]

Take the second equation and flip it around so the y on the left ends up on the right and the 4x on the right ends up on the left. This makes all negatives positive and all positives negative. -4x + 12 = y

Then add the first equation to the second equation
4x +12 = -7y
-4x + 12 = y this eliminates the x's
24 = - 6y then divide by - 6
- 6 - 6
- 4 = y

So if you know that y = negative 4, you can substitute into either equation. I pick the second one because I am a lazy person.
-y + 12 = 4 x
-(-4) + 12 = 4 x combine your numbers
 16 = 4 x then divide by 4
 4 = x
So your solution is: x = 4 and y = -4 or this is also written (4, -4)

Does that work for you?

4 0

3 years ago

Read 2 more answers