Answer:
30
Step-by-step explanation:
the formula is a^2+b^2=c^2
18^2+24^2=c^2
900=c^2
c=30
Means solve for y=mx+b form
so
expand/distribute
y-5=3x+3
add 5 to both sides
y=3x+8
Hello!
To find the vertex of f(x), we can simplify this function into standard form.
f(x) = (x - 8)(x - 2)
f(x) = x² + -10x + 16
With the equation in standard form, we use the formula: x = -b/2a. Then, we substitute the value of x into the equation to solve for the y-value.
x = -(-10) / 2(1)
x = 10 / 2
x = 5
Then, we substitute x = 5 into the original equation.
f(x) = (5 - 8)(5 - 2)
f(x) = -3(3)
f(x) = -9
Therefore, the vertex of f(x) is (5, -9).
4x - y = 3
y = 2x + 13
Substitute the second equation into the first equation:
4x - y = 3 [since y = 2x + 13, you can substitute (2x + 13) for "y" in the equation]
4x - (2x + 13) = 3 Distribute/multiply - into (2x + 13)
4x - 2x - 13 = 3
2x - 13 = 3 Add 13 on both sides
2x = 16 Divide 2 on both sides
x = 8
Now that you know x = 8, plug it into one of the equations to find y
y = 2x + 13
y = 2(8) + 13
y = 16 + 13
y = 29
x = 8, y = 29 or (8, 29)
[proof]
4x - y = 3
4(8) - 29 = 3
32 - 29 = 3
3 = 3
y = 2x + 13
29 = 2(8) + 13
29 = 16 + 13
29 = 29
1)
Volume of a cone is 1/3×πr^2h=1/3×2^2×3×π=4πcm^3
And volume of cylinder is π×r^2h=24πcm^3
Add them 28π=28×3.14=87.92 or 88cm^3
2)
V=4/3πr^3
V=4500π ft^3
3)
V=4/3πr^3
Its given
972π=4/3π×(d/2)^3
972=4/3×d^3/8
972×8×3/4=d^3
d=18inches
