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sleet_krkn [62]
2 years ago
14

Factor this equation , I can’t comprehend it

Mathematics
2 answers:
ivolga24 [154]2 years ago
8 0

Answer:

B) (2x + 3)(2x - 3)

Step-by-step explanation:

Use the FOIL method for each answer choice.

FOIL = First, Outside, Inside, Last

(2x)(2x) = 4x²

(2x)(-3) = -6x

(3)(2x) = 6x

(3)(-3) = -9

4x² -6x +6x  -9

Simplify. Combine like terms:

4x² (-6x + 6x) - 9

4x² - 9

4x² - 9 = 4x² - 9 ∴ B) (2x + 3)(2x - 3) is your answer

~

Advocard [28]2 years ago
5 0

Answer:

B

Step-by-step explanation:

using the method of difference of 2 squares

• a² - b² = (a + b)(a - b)

For 4x² - 9

with 4x² = (2x)² ⇒ a = 2x

9 = 3² ⇒ b = 3

4x² - 9 = (2x + 3)(2x - 3) → B


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Please ΔEFU ~ ΔVWU. Find the length of UF.
koban [17]
<h3>Answer: UF = 11</h3>

=======================================================

Explanation:

In EFU, we see that EU are the first and last letters. In VWU, we see that VU are the first and last letters. This order is important to be able to pair EU with VU

So EU/VU is one ratio

The other ratio is UF and UW, which are the last two letters of EFU and VWU respectively. So the other ratio is UF/UW

Set the ratios equal to each other and solve for x

EU/VU = UF/UW

7/35 = x/55

7*55 = 35*x ... cross multiply

385 = 35x

35x = 385

x = 385/35 .... divide both sides by 35

x = 11

UF = 11

------------

Or you could note how UV = 35 is exactly 5 times larger compared to EU = 7

That must mean WU = 55 must also be 5 times larger compared to UF = x

So,

WU = 5*UF

55 = 5x

5x = 55

x = 55/5

x = 11

UF = 11

This is similar to the previous section because UV/EU = 35/7 = 5 is the scale factor.

4 0
3 years ago
What would the bottles purchased be and what would the bottles recycled be?
N76 [4]

Part A

Your problem statement already shows you the conversion.

Bottles purchased: 5×10¹⁰

Bottles recycled: 8.3×10⁹

Part B

The ratio of bottles purchased to bottles recycled is

... (5×10¹⁰)/(8.3×10⁹) = 0.6×10¹ = 6.0

The number of bottles purchased is 6 times the number of bottles recycle.

5 0
3 years ago
What is the area of the house (including the drawing room, TV room, balcony, hallway, kitchen and bedroom)?
Ipatiy [6.2K]

Answer:

The area of the house is A. 1,108

5 0
3 years ago
What is the slope of the line which passes through (4, 7) and (2, 3)? (5 points)
Basile [38]

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (4, 7)

m = \frac{7-3}{4-2} = \frac{4}{2} = 2

3 0
2 years ago
Launa bought 20 pizzas for a party. How many pieces of pizza will she have if she divides them each into eighths? A 20 B 190 C16
mart [117]

Answer:

D. 160 pieces of pizza!

Step-by-step explanation:

If each pizza is cut into 8 pieces you would multiply 20 by eight and you get 160. Hope this helps! Have a great day!

5 0
3 years ago
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