Answer:
Option C √32 is correct
Step-by-step explanation:
Here,
x₁ = 8
x₂ = 4
y₁ = (-3)
y₂ = (-7)
Now,
By Using Distance Formula
<em>D = √(x₂ - x₁)² + (y₂ - y₁)²</em>
<em> </em><em> </em><em> </em><em> </em>= √(4 - 8)² + [(-7) - (-3)]²
= √(-4)² + [(-7) + 3]²
= √16 + (-4)²
= √16 + 16
<u>D = √32</u>
Thus, The distance between (8, -3) and (4, -7) is √32
<u>-TheUnknown</u><u>S</u><u>cientist</u>
Answer:
8
Step-by-step explanation:
√m/3 = 4
To remove the radical sign, square both sides.
(√m/3)² = 4²
m/3 = 16
To remove the denominator of 3, multiply both sides by 3.
3 (m/3) = 3(16)
m = 48
To check: Substitute m by its value.
√m/3 = 4
√48/3 = 4
√16 = 4
4 = 4
C(x) = 400 + 20x - 0.2x²
c(30) = 400 + 20(30) - 0.2(30)²
= 400 + 600 - 0.2(900)
= 1000 - 180
= 820
It costs $820 when 30 radios are produced.
Marginal cost is how much it would cost to make one MORE of the same product so now we find how much it costs to produce 31 radios and compare the two.
c(31) = 400 + 20(31) - 0.2(31)²
= 400 + 620 - 0.2(961)
= 1020 - 192.2
= 827.8 or ≈828.
Now we find the difference which means we subtract the two.
828 - 820 = 8.
Your marginal cost is $8.
To compare we can also do 29 radios.
c(29) = 400 + 20(29) - 0.2(29)² = 811.8 or ≈812
820 - 812 = 8.
Answer:
see below
Step-by-step explanation:
h(t)=−4.9t2+100t+325.
The independent variable is the one that we change
t which is in seconds
The dependent variable is the result
h(t) which is in meters
