Hello,
f'(x) = sin(x) - 65 → f(x) = -cos(x) - 65x
Answer:
6, 8, 10
Step-by-step explanation:
The values must satisfy the pythagorean theorem .
Substitute a=6, b=8, and c=10.
Not sure why they put the x bit
ok so know this:
AGE=HGB=CHG=FHD
and
AGH=EGB=CHF=GHD
and
AGE+AGH=180
11.
AGE=FHD=30
12.
AGH=CHF=150
13.
CHF=BGE=110
14.
CHG+HGA=180
CHG+120=180
CHG=60
15.
BHG=3x=AGE=CHG=FHD
not sure, but if we did use the fact that BGH+DHG=180 and BGH=3x and DHG=2x+50 then BHG=78 degrees
16.
GHD=2x+50=CHF=EGB=AGH, if we use facts above then GHD=102 degrees
Parabola 1:
f (x) = x2 + 4x + 3
f (x) = (x + 1) (x + 3)
intersection with y:
f (0) = (0) ^ 2 + 4 (0) +3
f (0) = 3
Axis of symmetry:
f '(x) = 2x + 4
2x + 4 = 0
x = -4 / 2
x = -2
Minimum of the function:
f (-2) = (- 2) ^ 2 + 4 * (- 2) +3
f (-2) = - 1
Parabola 2:
g (x) = (x + 5) (x-1)
g (x) = x ^ 2 - x + 5x - 5
g (x) = x ^ 2 + 4x - 5 intersection with y:
g (0) = (0) ^ 2 + 4 (0) - 5
g (0) = - 5
Axis of symmetry:
g '(x) = 2x + 4
2x + 4 = 0
x = -4 / 2
x = -2
Minimum of the function:
g (-2) = (- 2) ^ 2 + 4 * (- 2) - 5
g (-2) = - 9
Answer:
3. Parabola 1 crosses the y-axis higher than Parabola 2.
2. Parabola 1 and Parabola 2 have the same line of symmetry.