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lorasvet [3.4K]
3 years ago
12

Which of the following expressions is equal to 2x2 + 18 ?

Mathematics
1 answer:
ehidna [41]3 years ago
4 0
<h3>Answer: Choice C. (2x - 6i)(x + 3i)</h3>

Work Shown:

2x^2 + 18

2(x^2 + 9)

2(x - 3i)(x + 3i) .... see note below

(2x - 6i)(x + 3i)

Note: I used the rule that a^2 + b^2 = (a - bi)(a + bi). I recommend FOILing out the right hand side to confirm the equation is true. You'll use the idea that i^2 = -1.

You might be interested in
Solve the equation. Check the solution.<br> 9-17x-5-4x=7
Shalnov [3]

Answer:

x = -1/7

Step-by-step explanation:

Solve for x

9-17x-5-4x=7

Combine like terms

-21x +4 = 7

Subtract 4 from each side

-21x-4+4 = 7-4

-21x = 3

Divide each side by -21

-21x/-21 = 3/-21

x = -1/7

Check

9 - 17(-1/7) -5 -4(-1/7) =7

9 + 17/7 -5 + 4/7 =7

4 +21/7 = 7

4+3 = 7

7=7

3 0
1 year ago
Martin has 5/6 of a pizza. Liam has 4 times as much pizza as Martin.
Novosadov [1.4K]

Answer:

Liam has 3 whole pizza along with 1/3 of a pizza.

In decimal,  Liam has 3.33 of Pizza.

Step-by-step explanation:

Given

Quantity of pizza with Martin = 5/6 of a pizza

Pizza with Liam = 4*Quantity of pizza with Martin

Pizza with Liam = 4*5/6 of a pizza

Pizza with Liam = 10/3 of a pizza = 3 1/3 of pizza.

Thus, Liam has 3 whole pizza along with 1/3 of a pizza.

In decimal Liam has 3.33 of Pizza.

7 0
3 years ago
What is 2+5-71=I need help with that
Alex787 [66]
2+5-71
7-71
-64
answer is -64
6 0
3 years ago
We have three coins: one with heads on both faces, the second with tails on both faces, and the third a regular one. We choose o
Finger [1]

Answer:

Probability: \frac{1}{2} = 0.5 = 50%

Step-by-step explanation:

Based on the question one coin is chosen at random and tossed. That coin then lands and is heads. Since the coin landed on heads we can <u>eliminate the possibility</u> of the coin that was chosen being the coin with double tails.

The following possibilities are that the coin has double heads or is a regular coin with both tails and heads. Seeing as the coin landed on heads, there are only two possible out comes for the other side of the coin

The other side is either Heads or Tails. That gives us a 50% chance of the other side being tails.

\frac{1}{2} = 0.5 = 50%

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

4 0
2 years ago
Given the speeds of each runner below, determine who runs the fastest.
Lesechka [4]

Answer:

Debbie runs 9 feet per second: 9 ft/s

Jessica runs 1 mile  in 440 seconds: 414/50 ft/s = 207/25 ft/s = 8 7/25 ft/s

jesssica runs 131 feet in 10 seconds: since 1 mile = 5280 ft we have 1/470 mi/s = 5280/470 ft/s = 528/47 ft/s = 11 11/47 ft/s

ron runs 603 feet in 1 minute: 547 ft/min = 603/60 ft/s = 201/20 ft/s = 10 1/20 ft/s

Since:

11 11/47 > 10 1/20 > 9 > 8 7/25

Emily runs the fastest.

7 0
2 years ago
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