Answer:
<em>3 seconds</em>
Step-by-step explanation:
Complete question:
<em>An object is dropped from a bridge and allowed to freefall to the ground. The height of the object over time can be modeled using h(t)=144-16t2. How many seconds will it take the object to reach the ground? 2 seconds 3 seconds 9 seconds 16 seconds</em>
<em></em>
Given the height of an object modelled by the expression;
<em>h(t)=144-16t²</em>
The object will reach the ground when h(t) = 0
Substitute into the formula
0 = 144 - 16t²
-144 = -16t²
144 = 16t²
Swap
16t² = 144
t² = 144/16
t² = 9
Square root both sides
√t² = ±√9
t = ±3secs
<em>Since the time cannot be negative, hence the object will reach the ground 3 seconds after</em>
<u>Answer</u>
D.25x2 – 36
<u>Explanation</u>
A. x² – 16x + 64
product = 64
sum = -16
factors: -8 and -8
x² – 16x + 64 = x² - 8x - 8x + 64
= x(x - 8) - 8(x - 8)
= (x - 8)(x-8) = (x-8)² ⇒ Not a difference of squares
B.x² + 4 = (x² + 2²) ⇒ Not a difference of squares
C.9x² – x – 36
product = - 324
sum = -1
Factors: none
9x² – x – 36 ⇒ Has no perfect roots.
D.25x² – 36
25x² – 36 = (5x)² - 6² ⇒ This is the difference of squares.
Four and 23 hundredths
4.23
I hope this helps! :D (Sorry if these are wrong.)
Answer:
3(x-3)/4-1/2=2/3
The least common denominator will be the least common multiple of 4,2,3 which is the product of the highest occurring primes of the numbers prime factorization...
Step-by-step explanation:
4=2*2, 2=2, 3=3, so the least common denominator is 2*2*3=12
12/ sin(113.17) = b/ sin (37.81)
so b= 8
