In order to find the vector that points from A to B we need to subtract each component of A from the corresponding component of B, according to the formula:
v(a→b)=(b1−a1,b2−a2)
In this case we have :
v(a→b)=(−5−(−8),3−(−1))
<span>v(a→b)=(3,4)
</span>To find the magnitude we use the formula:
||v|= √(v1^2)+(v1^2)
So:
||v|= √(32)+(42)
||v|= √9+16
||v|= <span>√</span>25
||v|= 5
Answer:
448.69 in^3
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = (4/3)πr^3
We want to use diameter, so we can substitute r = d/2 into the formula:
V = (4/3)π(d/2)^3 = (4/(3·8))πd^3
V = (π/6)d^3
For the given numbers, ...
V = (3.14/6)(9.5^3) ≈ 448.69 in^3 . . . . volume of a basketball
<span>To solve for p:
3p – 6 > 21
</span><span>3p - 6 + 6 > 21 + 6 (add 6 to both sides)
</span><span>3p > 27
3p/3 </span><span>> 27/3 (divide both sides by 3 to get p by itself)
</span><span>p > 9</span>
Answer:
Step-by-step explanation:
So basically the equation is (x+2) times (x+6). Use the FOIL method to multiply across like this:
x*x + x*6 + 2*x + 2*6
Combine like terms
x^2 + 8x + 12
Thank me later :)
