Split the second term in 2x^2 - x - 6 into two terms
2x^2 + 3x - 4x - 6
Factor out common terms in the first two terms, then in the last two terms
x(2x + 3) - 2(2x + 3)
Factor out the common term 2x + 3
<u>(2x + 3)(x - 2) </u>
We have 125 = 5³ and 1/5 = 0.2. Then
1/125 = (1/5)³ = 0.2³ = 0.008
so that
4 27/125 = 4 + 27 • 0.008
… = 4 + 0.216
… = 4.216
-3pa - 9b - 18pc
For starters, you know that you can't take away any of the letters from the equation because none of the three have the exact same letter; however, they all have something they can be divided by and that is -3.
It would be -3 instead of just 3 because the equation itself starts with a negative. (you could probably do it anyways with just 3, but you'd end up taking out a negative one, anyways, so what's the point?)
Now, you would have: -3 ( pa + 3b + 6pc )
That is truly all you can take out. So, that would end up being your answer since all you can really do is simplify.
Answer:
y= 1/2x -7
Step-by-step explanation:
Find the y-intercept. It is where the line crosses "y" which is -7
Next find the rise and the run for "x"
Rise - 1
Run - 2
Then put them in slope intercept form
y=1/2x -7
Answer:
38.77 yd³
Step-by-step explanation:
The volume of the sphere can be determined by using the formula 4πr³/3.
[Where "r" is the radius of the circle].
<u>We are given that:</u>
Radius of circle = 2.1 yd
<u />
<u>When we substitute the radius in the formula, we get;</u>
⇒ 4 × π × (2.1)³/3
<u>Let π be substituted as 3.14. Then;</u>
⇒ 4 × π × (2.1)³/3
⇒ 4 × (3.14) × (2.1)³/3
<u>When evaulating the cube of 2.1, we get;</u>
⇒ 4 × (3.14) × (2.1)³/3
⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3
<u>When simplified, we get;</u>
⇒ 4 × (3.14) × (2.1) × (2.1) × (2.1)/3
⇒ 4 × (3.14) × (2.1) × (2.1) × (0.7)
⇒ 4 × (3.14) × (4.41) × (0.7)
⇒ (12.56) × (4.41) × (0.7)
⇒ 38.77272 ≈ 38.77 yd³ (Rounded to nearest hundredth)
Therefore, the volume of the sphere is 38.77 yd³.
