1)
for a valid triangle two sides added together have to always be larger than the third
(otherwise it turns into a line)
12, 18, 6 would not be a valid triangle, because 12+6<=18
but 12, 18, 14 would be valid, because
12+18>14
12+14>18
18+14>12
2)lets start with an obvious right triangle and have the axis along the y and x axis like
so decide some x like -4 and some y like -3 and keep all other coordinates at 0:
A=(-4,0) B=(0,-3) and C=(0,0)
make it a bit more complicated (less 0s) by some x and y translation like (-2,3)
just add that to every point's coordinates and you get
A=(-6,3), B=(-2,0), C=(-2,3)
Answer:
The value of c that satisfies the conclusion of the Mean Value Theorem applied to f on the interval [1,4] is approximately 0.1793.
Step-by-step explanation:
Given f(x) = 5cos²x² + ln(x + 1) - 3
The Mean Value Theorem applied to f on an interval [a, b] is given as
f'(x) = c = [f(b) - f(a)]/(b - a)
= [f(4) - f(1)]/(4 - 1)
c = [f(4) - f(1)]/3
f(4) = 5(cos4²)² + ln(5) - 3
= 3.2296
f(1) = 5(cos1²)² + ln(2) - 3
= 2.6916.
c = (3.2296 - 2.6916)/3
= 0.538/3
≈ 0.1793
C would be the correct answer because if you solve for x the x on the left would be greater than the one on the right
Answer:
N<-7 or (-∞,-7) hope this helps
Subtracting Integers
Subtract +9 - +4 =
Add The Opposite +9 + -4 =
Result +5
