Answer:
42m/s
Step-by-step explanation:
acceleration = speed/time
7.0 = s/6.0
42.0m/s = speed
Answer:
Step-by-step explanation:triangle P: 12, 24, and 30
triangle Q: 9, 40, and 41
triangle R: 5, 18, and 21
Which triangle is a right triangle? Explain your reasoning.
I got 6 units^2. So the answer is the second choice. ab/2 = 3*4/2 = 6.
Answer:
1
Step-by-step explanation:
Equation of variance:
Total Variance = sum (i=1, N) {c^2,variance^2}
= c1^2*variance1^2 + c2^2*variance2^2 + .....
Variance of X = 1
Variance of Y = 5
Variance of Y - 2X = (1^2)*(5) - (2^2)**(1)
= 5 - 4 = 1
Answer:
A. -4
Step-by-step explanation:
Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.
For the left hand limit;
The function at the left hand occurs at x<-1
f-(x) = x+3
f-(-1) = -1+3
f-(-1) = 2
For the right hand limit, the function occurs at x>-1
f+(x) = 2x-c
f+(-1) = 2(-1)-c
f+(-1) = -2-c
For the function f(x) to be continuous on the entire real line at x = -1, then
f-(-1) = f+(-1)
On equating both sides:
2 = -2-c
Add 2 to both sides
2+2 = -2-c+2
4 =-c
Multiply both sides by minus.
-(-c) = -4
c = -4
Hence the value of c so that f(x) is continuous on the entire real line is -4
