Answer:
1(left) goes with 1
2(left) goes with 3
3(left) goes with 2
4(left) goes with 4
Step-by-step explanation:
2(5+6) = 22
3(5+3) = 24
2(4+5) = 18
2(3+2) = 10
10 + 12 = 22
8+ 10 = 18
15 + 9 = 24
6 + 4 = 10
1(left) goes with 1
2(left) goes with 3
3(left) goes with 2
4(left) goes with 4
Step-by-step explanation:
845/1160 = 0.728
116.5/174 = 0.669
42.25/58 = 0.728
23.4/29 = 0.806
16.9/23.2 = 0.728
25.35/34.8 = 0.728
Hence the 2nd, 4th and 5th options are correct.
Answer:
Step-by-step explanation:
We can find the slope (m) by using coordinate pairs of any 2 points located along the slope of the line that we have on the graph.
This, let's use the coordinate pairs at:
x = -4, y = 2 (-4, 2) => (x2, y2)
x = 0, y = -4 (0, -4) => (x1, y1)
Answer:
C) 10 feet
Step-by-step explanation:
h² = 8² + 6² = 64 + 36 = 100
h = √100 = 10
Step 1: Find f'(x):
f'(x) = -6x^2 + 6x
Step 2: Evaluate f'(2) to find the slope of the tangent line at x=2:
f'(2) = -6(2)^2 + 6(2) = -24 + 12 = -12
Step 3: Find f(2), so you have a point on y=f(x):
f(2) = -2·(2)^3 + 3·(2)^2 = -16 + 12 = -4
So, you have the point (2,-4) and the slope of -12.
Step 4: Find the equation of your tangent line:
Using point-slope form you'd have: y + 4 = -12 (x - 2)
That is the equation of the tangent line.
If your teacher is picky and wants slope-intercept, solve that for y to get:
y = -12 x + 20
