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artcher [175]
3 years ago
13

Use the formula a2 – b2 = (a + b)(a – b) to factor completely. What are the factors of 36x8 – 49?

Mathematics
2 answers:
lutik1710 [3]3 years ago
8 0

Answer:its the Third option C


Step-by-step explanation:


ch4aika [34]3 years ago
7 0

Answer:  The correct option is (C) (6x^4-7)(6x^4+7).

Step-by-step explanation:  We are given to factor the following polynomial completely:

P=36x^8-49~~~~~~~~~~~~~~~~~~~~`(i)

We are given to use the following formula:

a^2-b^2=(a+b)(a-b).

We have, from equation (i) that

P\\\\=36x^8-49\\\\=(6x^4)^2-7^2\\\\=(6x^4+7)(6x^4-7).

Thus, the required factors are (6x^4-7)(6x^4+7).

Option (C) is correct.

You might be interested in
four 3 megawatt wind turbines can supply enough electricity to power 3000 homes. How many turbines would be required to power 55
fiasKO [112]

Answer:

The number of turbines is 74

Step-by-step explanation:

* Lets explain how to solve the problem

- Four 3 megawatt wind turbines can supply enough electricity

 to power 3000 homes

∴ The number of turbines is 4

∵ Each turbine give 3 megawatt

∴ The four turbines give ⇒ 4 × 3 = 12 megawatt

- This quantity give enough electricity to power 3000 homes

∴ The number of homes for the 12 megawatt is 3000

- We need to find how many turbines can cover enough electricity

  to power 55,000 homes, so we must to know the quantity of

  electricity that be enough to power 55,000 homes

* <em>Lets use the cross multiplication to solve the problem</em>

∵         megawatt    :     number of homes

                  12          :              3,000

                  ?            :            55,000

- <em>By using cross multiplication</em>

∴ ?=\frac{(55,000)(12)}{3,000}=\frac{660,000}{3000}=220

∴ The enough electricity to power 3000 homes = 220 megawatt

∵ Each turbine gives 3 megawatt

- Find the number of turbines divides the total megawatt by the the

  megawatt of one turbine

∴ The number of turbines = 220 ÷ 3 = 73.3

- If we take 73 only the electricity will not be enough to cover all

 homes, so we must to take 74 turbines

∴ The number of turbines is 74

5 0
3 years ago
Quick pleaseeeeeeeeeeeee!!!!
pentagon [3]

Answer:

plot points at (0,4),(3,1),(5,7),(8,5)

Step-by-step explanation:

hope this helps (:

7 0
2 years ago
Andrea's rectangle measures 2 1/2 units by 2 1/2 units. What is its area?
Art [367]

Answer:6.25

Step-by-step explanation:

2.5x2.5=6.25

8 0
2 years ago
If you were to open an account that will pay you 3.5% interest with a deposit of $150 so find the following ending amount for ea
aev [14]

Answer:

FV= $160.68

Step-by-step explanation:

Giving the following information:

Initial investment= $150

Interest rate= 3.5% compounded annually

Number of periods= 2

T<u>o calculate the future value, we need to use the following formula:</u>

FV= PV*(1+i)^n

PV= present value

i= interest rate

n= number of periods

FV= 150*(1.035^2)

FV= $160.68

3 0
3 years ago
If mBDE = 125 what is mGDF? A) 35. B) 45. C) 55. D) 65
joja [24]
A supplmentary angle = 180°

∠BDE and ∠BDF are vertical angles, and so are congruent.

∠BDF = 125°, because ∠BDF ≅ ∠BDE.

∠CDA ≅ ∠EDF

∠CDA = 90°


<span>line BJ </span> is angle bisector of ∠CDA. ∠CDB is 1/2 of ∠CDA

∠CDA = 90°

∠CDB = 90/2
∠CDB = 45°

∠GDF is a vertical angle of ∠CDB, and it's measurement will be the same as ∠CDB.

∠GDF ≅ ∠CDB
∠CDB = 45°
∠GDF  = 45°


∠GDF  = 45° should be your answer

hope this helps
7 0
3 years ago
Read 2 more answers
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