Answer:
f(x) = 10
Step-by-step explanation:
for direct variation
f(x) = kx
substitute in for f(x) and x
40 = k*8
solve for k
40/8 = k*8/8
5 =k
now we have
f(x) = 5*x
let x=2
f(x) = 5*2
f(x) = 10
A^2 + b^2 = c^2.......a and b r the legs and c is the hypotenuse
8^2 + b^2 = 14^2
64 + b^2 = 196
b^2 = 196 - 64
b^2 = 132.....take square root of both sides, eliminating the ^2
b = square root 132
b = 11.49 rounds to 11.5 <==
The length of the curve 
from x = 3 to x = 6 is 192 units
<h3>How to determine the length of the curve?</h3>
The curve is given as:
from x = 3 to x = 6
Start by differentiating the curve function
Evaluate
The length of the curve is calculated using:
This gives
![L =\int\limits^6_3 {\sqrt{1 + [x(9x^2 + 6)^\frac 12]^2}\ dx](https://tex.z-dn.net/?f=L%20%3D%5Cint%5Climits%5E6_3%20%7B%5Csqrt%7B1%20%2B%20%5Bx%289x%5E2%20%2B%206%29%5E%5Cfrac%2012%5D%5E2%7D%5C%20dx)
Expand
This gives
Express as a perfect square
Evaluate the exponent
Differentiate
Expand
L = (6³ + 6) - (3³ + 3)
Evaluate
L = 192
Hence, the length of the curve is 192 units
Read more about curve lengths at:
brainly.com/question/14015568
#SPJ1
Answer:
1) 5
2) 7
3) Mary
Step-by-step explanation:
1) 20/4 = 5 shots
20 shots = 4 minutes
10 shots = 2 minutes
5 shots = 1 minute
2) 42/6 = 7 shots
42 shots = 6 minutes
21 shots = 3 minutes
21 shots divided by 3 minutes equals 7 shots
3) Mary had 7 shots while John only shot 5.
I believe this answer to be true. This can be said because 4/2 equals 2 as does 24/12. Both of those fractions equals 2 yet they are two completely different fractions. Please tell me if I was right lol.
