9514 1404 393
Answer:
q = 40
Step-by-step explanation:
When the quadratic has roots p and r, it can be factored as ...
(x -p)(x -r) = x² -(p+r)x +pr
So, the sum of the roots is 14, and their difference is 6. This lets us find the roots from ...
p + r = 14
p - r = 6
2p = 20 . . . add the two equations
p = 10
r = 14 -p = 4
The value of interest is then ...
q = pr = (10)(4)
q = 40
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The graph shows the roots to be 4 and 10, as we found.
Note that
108° = 90° + 18°
so
sin(108°) = sin(90° + 18°) = sin(90°) cos(18°) + cos(90°) sin(18°) = cos(18°)
Then
sin²(108°) + sin²(18°) = cos²(18°) + sin²(18°) = 1
by the Pythagorean identity.
Mary, Anne, and Rose decided to race their three pet snails, Anthony, James, and Thomas to see which was fastest. Anthony finished in 23.38 minutes. James finished in 23.65 minutes. Thomas finished in 23.13 minutes. Order the finish times from least amount of time to greatest to see which snail was the winner of this very intense and serious race.
23.12, 23.38, 23.65
The diameter of the sphere is 60 mm which means its radius is 30mm. <span>The radius of a sphere is increasing at a rate of 5 mm/s.
The formula for the radius when the time is x second would be:
</span>r(t)<span>= 30+ 5x
dr/dt= 5
The speed of </span><span>volume increase </span><span>of the sphere volume would be derived from sphere volume:
</span>V(r)=4/3* pi * r^3<span>
dV/dt= 4/3 * pi * 3r^2 * (dr/dt) =4/3* pi * 3(30)^2 * 5 = 18000 pi= 56571 mm^3/s</span>
Answer:
2x
Step-by-step explanation:
f(x) – g(x)
f(x) = 5x – 3 and g(x) = 3x – 3
f(x)- g(x) = 5x – 3 -( 3x – 3)
Distribute the minus sign
5x -3 -3x+3
Combine like terms
5x-3x-3+3
2x
