Hi there!
You would have to simplify the terms inside [ ] this thing, then multiply.
So let's simplify them first.
4 - (3c - 1)
use distributive property.....
4 - 3c + 1
-3c + 5
6 - (3c - 1)
use distributive property again...
6 - 3c + 1
-3c + 7
so now, multiply (-3c + 5)(-3c + 7).
(-3c + 5)(-3c + 7)
9c² - 21c - 15c + 35
9c² - 36c + 35
So your final answer is...
9c² - 36c + 35
Hope this helped! :)
Answer:
a) V_avg = 32 ft/s
b) V_avg = -30 ft/s
c) See explanation
Step-by-step explanation:
Given:
- The displacement function is given:
S(t) = -16t^2 + 64t + 80
Find:
a. Find the balls average velocity between the time it was thrown and 2 seconds later
b. Find the ball’s average velocity between 2 and 4 seconds after it was thrown
c. What do the signs in your answers to parts (a) and (b) mean in terms of the direction of the ball’s motion?
Solution:
- The average velocity of an object is the displacement over time, and it is expressed as follows:
V_avg = ( S_2 - S_1 ) / dt
- Evaluate S(2), S(0), and S(4):
S(2) = -16*2^2 +64*2 +80
S(2) = 144 ft
S(0) = -16*0^2 +64*0 +80
S(0) = 80 ft
S(4) = -16*4^2 +64*4 +80
S(4) = 80 ft
- For part a. Compute V_avg:
V_avg = ( S(2) - S(0) ) / 2
V_avg = (144 - 80) / 2
V_avg = 32 ft/s
- For part b. Compute V_avg:
V_avg = ( S(4) - S(2) ) / 2
V_avg = (80 - 140) / 2
V_avg = -30 ft/s
- We see that the signs of the Velocity have changed. The coordinate axis up against gravity was chosen to positive. While a negative access is in favor of the gravity. Hence, from the signs we can see that the ball is going down towards ground in motion from t = 2 s to t = 4 s.
To solve this problem you must apply the proccedure shown below:
1. You have that the the polynomial being subtracted is 0.6t²+8-18t, therefore, <span> to find the additive inverse of the polynomial, you must multiply it by -1, as following:
</span>(0.6t²+8-18t)
(-1)(0.6t²+8-18t)
2. Therefore, you obtain the following result:
-0.6t²-8+18t
Then, tas you can see, the answer is -0.6t²-8+18t.
Answer:
1/15
Step-by-step explanation:
Dividing a fraction can sometimes be seen as multiplying it by another fraction.
So instead of doing (1/5)/3 we can write it like this:
1/5 * 1/3
And since multiplying something by one third is equivalent to dividing it by three, nothing has really changed.
So now we can multiply the fractions.
First we'll take the numerator (the number above the line) of 1/5 and multiply it by the numerator or 1/3.
1 * 1 = 1
Then we do the same for the two denominators (the numbers <em>below</em> the line)
5 * 3 = 15
So now we've turned 1/3 * 1/5 into: (1*1)/(3*5),
Then simplified it to:
1/15
Answer:
D
Step-by-step explanation:
D is the anaswer becasue it splits angle C in half?
