The distance covered by a free-falling object in 'T' seconds after it's dropped is
D = (1/2) x (gravity acceleration) x (T²)
Gravity acceleration on Earth is 9.8 m/s². or 32.2 feet/sec² .
20-ft = (1/2) (16.1) (T²)
20 = 8.05 T²
T = √(20/8.05) = <u>1.576 seconds .</u>
Let's simplify step-by-step.<span><span>−<span>28x</span></span>+<span>20<span>x
</span></span></span>ombine Like Terms:<span>=<span><span>−<span>28x</span></span>+<span>20x</span></span></span><span>=<span>(<span><span>−<span>28x</span></span>+<span>20x</span></span>)</span></span><span>=<span>−<span>8<span>x
</span></span></span></span>Answer:<span>=<span>−<span>8<span>x</span></span></span></span>
Domains of functions are the values that <em>can</em> be plugged into the function and not "break" it. By "break" I mean that the denominator cannot be 0, in this case. If the denominator is 0, we will get a divide by 0 error, and thus, we must restrict the domain. All values of x will work except 9/4:
Let's plug in 9/4 and see what happens:
So, plugging in 9/4 results in denominator equalling 0. Therefore, we must restrict the domain so that x ≠ 9/4. Your answer is All real values of x such that x ≠ 9/4.
DE + EF = DF
5x - 9 + 2x + 10 = 78
7x+ 1 = 78
7x = 77
x = 77/7 = 11
EF = 2x + 10
EF = 2*11 + 10
EF = 22 + 10
EF = 32
Answer:
3/10
Step-by-step explanation:
Bonnie has completed 0.5 + 0.2 = 0.7 of her art project. 1 - 0.7 = 0.3 of her art project remains to be completed.
_____
1/2 = 5/10 = 0.5
1/5 = 2/10 = 0.2