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svetoff [14.1K]
3 years ago
10

Factor 16x2 + 121 over the set of complex numbers. Enter your answer in the box.

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0

Answer:

(4x - 11i)(4x -+11i)

Step-by-step explanation:

Factor as a difference of squares

a² - b² = (a - b)(a + b)

note that i² = - 1

Given

16x² + 121

= (4x)² - (11i)²

= (4x - 11i)(4x + 11i)

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An athletic club buys car magnets and pom-poms for club members. The car magnets cost 4.95 each, and pom-poms cost each. The ath
VLD [36.1K]

Answer:

Each car magnet costs $4.95 and each pom-pom costs $0.425

The club spent $495 on 100 car magnets and $85 on 200 pom-poms.

Step-by-step explanation:

I guess that we have to calculate the price of pom-poms and how much money was spent purchasing car magnets and pom-poms.

x + y = 300

2x = y (now we replace y)

x + 2x = 300

3x = 300

x = 100

The club purchased 100 car magnets and 200 pom-poms.

To determine the price of each pom-pom:

($4.95 x 100) + 200P = $580

$495 + 200P = $580

200P = $85

P = $0.425

6 0
3 years ago
What is the slope of the line represented by the equation y =-1/2x + 1/4?
jarptica [38.1K]
The slope is -1/2x in this case because it is always next to a variable y=mx+b.

4 0
3 years ago
A running back is having a great day on the football field. It’s only the third quarter, and he’s already rushed for 203 yards.
Naddik [55]

Answer:

He needs to gain more than 26 yards in order to break his record

Step-by-step explanation:

Let y stand for the number of yards he’ll have to gain. The sum of y plus the number of yards he already has (203) must be greater than 229 in order for him to break the record.  

203 + y > 229                           Set up the inequality.

203 − 203 + y > 229 − 203       Subtract 203 from both sides of the inequality.

y > 26

8 0
3 years ago
Part a which projectile spends more time in the air, the one fired from 30∘ or the one fired from 60∘? which projectile spends m
bearhunter [10]
The correct answer is the One fired from from 60° . This is because the projectile fired from 60° has a greater vertical velocity compared to the one fired from 30° and therefore spends more time on air. Vertical velocity is the velocity of a body as it moves upwards, it is normally affected by the gravitational acceleration, however it is not affected by the horizontal velocity.
5 0
3 years ago
Read 2 more answers
Pls help:
Vanyuwa [196]

Answer:

V = 0.5 X b X a X h.

V = 0.5 × 24 × 7 × 3.6

V = 302.4m3

4 0
3 years ago
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