Answer:
- 8x^3+1 ⇒ (2x+1)(4x^2−2x+1)
- 2x^4+16x ⇒ 2x(x+2)(x^2−2x+4)
- x^3+8 ⇒ (x+2)(x^2−2x+4)
Step-by-step explanation:
The factoring of the sum of cubes is ...
a³ +b³ = (a +b)(a² -ab +b²)
1. a=2x, b=1
= (2x)³ + 1³
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2. There is an overall factor of 2x. Once that is factored out, a=x, b=2.
= (2x)(x³ +2³)
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3. a=x, b=2
= x³ +2³
Answer: Sorry, I’m lazy today so I’ll just answer the first question, letter a. The answer is 30 cups of red paint.
Step-by-step explanation: Since you need 2 cups of blue paint and 4 cups of red paint, the ratio of the amount of cups you need for each paint is 1 cup of blue for every 2 cups of red. You need 15 cups of blue so you multiply it by 2 and you get 30. I hope this wasn’t confusing and I hope this helps. Please listen to you teacher because it would really help you on your work.
Answer:
<h2>x = 10.3</h2>
Step-by-step explanation:
Use sine.
We have:
<em>look at the table in the picture</em>
Substitute:
<em>multiply both sides by 16</em>
Answer:
8 sides
Step-by-step explanation:
let x be the exterior angle then 3x is the interior angle
interior angle + exterior angle = 180° , then
x + 3x = 180
4x = 180 ( divide both sides by 4 )
x = 45
the sum of the exterior angles of a polygon = 360°
since the polygon is regular with each exterior angle = 45°, then
number of sides = 360° ÷ 45° = 8
Answer:
Step-by-step explanation:
The equation for a line is y=mx + b where m represents the slope
If a line is perpendicular to another line, it's slope is the negative reciprocal of the other line's slope.
The reciprocal of -4 is 
And the negative of that would be
