Answer:
-7b-9k+6
Step-by-step explanation:
-4b+(-9k)-6-3b+12
(-4b-3b)+(-9k)+(-6+12)
-7b+(-9k)+6
-7b-9k+6
Lets say pi is 3.14
The area of a circle is: pi*radius squared
The radius is half the diameter so it is 5 inches.
3.14*5 squared 2
3.14*25
78.5inches squared
Step 3:
14/7x-6/3=5
2x-2=5
2x=5+2
2x=7
x=7/2
Answer:
g(0.9) ≈ -2.6
g(1.1) ≈ 0.6
For 1.1 the estimation is a bit too high and for 0.9 it is too low.
Step-by-step explanation:
For values of x near 1 we can estimate g(x) with t(x) = g'(1) (x-1) + g(1). Note that g'(1) = 1²+15 = 16, and for values near one g'(x) is increasing because x² is increasing for positive values. This means that the tangent line t(x) will be above the graph of g, and the estimates we will make are a bit too big for values at the right of 1, like 1.1, and they will be too low for values at the left like 0.9.
For 0.9, we estimate
g(0.9) ≈ 16* (-0.1) -1 = -2.6
g(1.1) ≈ 16* 0.1 -1 = 0.6
Answer:
The horizontal distance between the parking lot and the launch site is 470 meters
Step-by-step explanation:
Let
x-----> the horizontal distance between the parking lot and the launch site
we know that
The tangent of angle of 12 degrees is equal to divide the altitude of 100 meters by the horizontal distance
so
tan(12°)=100/x
Solve for x
x=100/tan(12°)=470 meters