ANSWER
The correct answer is C
EXPLANATION
We want to find the value of

This is the same as:

We cancel out the common factors to get:

We simplify to get:

The correct answer is C
Answer:
V= area of cross-section x length
V = 0.5x(8x9) x 11
V = 396cm^3
Hope this helps!
Answer:
(- 1, 1) and (- 5, - 35)
Step-by-step explanation:
since both equations express y in terms of x, equate the right sides
x² + 15x + 15 = - x² + 3x + 5 ( subtract - x² + 3x + 5 from both sides )
2x² + 12x + 10 = 0 ( divide all terms by 2 )
x² + 6x + 5 = 0 ← in standard form
(x + 1)(x + 5) = 0 ← in factored form
equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 5 = 0 ⇒ x = - 5
substitute these values into either of the 2 equations and solve for y
x = - 1 : y = (- 1)² + 15(- 1) + 15 = 1 - 15 + 15 = 1 ⇒ (- 1, 1 )
x = - 5 : y = (- 5)² + 15(- 5) + 15 = 25 - 75 + 15 = - 35 ⇒ (- 5, - 35 )
None of the given options
Answer:
The value of the maximum distance the spring will be compressed
x = 0.143 m= 14.3 cm
Step-by-step explanation:
Given data
Mass m = 1.5 kg
h = 0.9 m
k = 1500
Since the book is released from a height h = 0.9 m above the top of the spring. so the total distance
y = h + x
Now in that case for the spring


By rearranging the above equation we get

Put all the values in above equation we get

By solving the above equation we get
x = 0.143 m= 14.3 cm
This is the value of the maximum distance the spring will be compressed.
We can convert 24/16 to a mixed number. It will be equivalent to 24/16.
24/16
24 ÷ 16 = 1.5
16 can go in to 24 once.
24 - 16 = 8
1 = whole number
8 = numerator
16 = denominator
Lets write our mixed number:-

This can be simplified ^^^^

So, our old mixed number simplified is

So, 24/16 is equivalent to 1.

, 2.

Hope I helped ya!!! xD