Answer:
B
Step-by-step explanation:
To rewrite the equation x + y + 3 = -2x + 4y + 18, first combine like terms.
x + y + 3 = -2x + 4y + 18
3x - 3y + 3 = 18
3x - 3y = 15
This is the standard form.
It can also be simplified by dividing each term by 3 to x - y = 5.
Answer:
V = PI*r^2 h/3
height= 3 * volume / (PI*radius^2)
Answer is B
Step-by-step explanation:
Answer:
Result = 0.0045
Step-by-step explanation:
Given

Required
Determine the result
Following Charlie's steps:
0.09 is a 2 decimal placed digit
and
0.05 is a 2 decimal placed digit
So, the product is as follows:
9 --------- 2 decimal place
5 --------- 2 decimal place
------------------------------------------
45 --------- 4 decimal place
Shifting the decimals in 45 to 4 decimal places will give us: 0.0045
<em>Hence, the final answer is 0.0045</em>
Answer:
1195.22N.
Step-by-step explanation:
Mass: m =82.6 kg
Velocity: v= 16.4m/sec.
Distance: d = 9.29 metres.
Acceleration = (v²/2d) = (16.4²/18.58) = 14.47m/sec².
Force = (mass x acceleration) = (82.6 x 14.47) = 1195.22N.
Answer:
(x - 2)(x + 1)(2x -1)
Step-by-step explanation:
We use synthetic division as a tool for factoring the given expression. The coefficients of the terms given are {2, -3, -3, 2}. If x - 2 is a factor of this expression, then 2 is a root. We perform synthetic division as follows:
2 / 2 -3 -3 2
4 2 -2
-------------------------------
2 1 -1 0
Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s). Using -1 as divisor, we get:
-1 / 2 1 -1
-2 1
---------------------
2 -1 0
Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor. Answer D is correct.