Answer:
Step-by-step explanation:
At the first track meet, distance of the shot put throw 
= 
At the second track meet distance of the throw 
feet
Expression that represents the improvement in the throw will be
D = 
D = 
D = 
D = 
D = 
D = 
feet
Ok, here we go. Pay attention. The formula for the arc length is
. That means that to use that formula we have to find the derivative of the function and square it. Our function is y = 4x-5, so y'=4. Our formula now, filled in accordingly, is
(that 1 is supposed to be negative; not sure if it is til I post the final answer). After the simplification we have the integral from -1 to 2 of
. Integrating that we have
from -1 to 2.
gives us
. Now we need to do the distance formula with this. But we need 2 coordinates for that. Our bounds are x=-1 and x=2. We will fill those x values in to the function and solve for y. When x = -1, y=4(-1)-5 and y = -9. So the point is (-1, -9). Doing the same with x = 2, y=4(2)-5 and y = 3. So the point is (2, 3). Use those in the distance formula accordingly:
which simplifies to
. The square root of 153 can be simplified into the square root of 9*17. Pulling out the perfect square of 9 as a 3 leaves us with
. And there you go!
I’m guessing C
(It’s probably wrong, I just need points)
Answer:
∠A: 98 (Is a vertical angle to the 98 degrees)
∠D: 151 (180-29)
∠H: 29 (Is a vertical angle to the 29 degrees)
∠I: 29
∠J: 151
∠M: 151 (Vert angle to <J)
∠R: 82 (180-98)
Answer:
Many of the rocks in Earth's crust and interior undergo this process of radioactive decay . This process produces subatomic particles that zip away, and later collide with surrounding material inside the Earth. Their energy of motion is converted to heat.
