The correct answer is A.
In order to find the correct answer in this one, you have to group all of the like terms. In this case, each term is unique with the exception of the x^2y^3 terms. Therefore, we need to check those first.
4x^2y^3 - (-5x^2y^3)
4x^2y^3 + 5x^2y^3
9x^2y^3
Since this term is included, we look for answers that involve this one. A is the only one that does. Plus, it includes each other term unchanged (which is good since there are no other like terms). Therefore, A is your answer.
Answer:
x = 25°
Step-by-step explanation:
Applying,
Sum of the angle in the triangle = 180°
From the diagram,
First angle of the triangle = 55° (vertically opposite angles are equal)
Second angle of the traingle = 180-80 = 100° (sum of the angle in a straight line)
Third angle of the triangle = x
Therefore,
x+55+100 = 180
x+155 = 180
x = 180-155
x = 25°
Given:
t1 = 3.6 h
t2 = 4.5 h
x = speed of boat
y = speed of water
Required:
a) Expression of distance traveled with moving water with 3.6h
Expression of distance traveled with moving water with 4.5h
b) Solve for y
c) Percent of boat's speed is the water current
Solution:
Working formula: distance = velocity*time
a) For travelling downstream, we get the equation
d = (x +y)*3.6
For travelling upstream, we get the equation
d = (x-y)*4.5
b) Setting the distance as equal for travelling upstream or downstream, we arrive at the equation of
(x+y)*3.6 = (x-y)*4.5
3.6x + 3.6y = 4.5x - 4.5y
8.1y =0.9x
y = x/9
c) percentage = 1/9*100% = 11.1%
<em>ANSWERS: a) d = (x+y)*36; d = (x-y)*4.5
</em> <em>b) y = x/9
</em> <em>c) 11.1%</em>
6 sec can take penny to strike the ground.
Solution:
Given data:
feet
feet
Re-arrange the terms from greatest degree to smallest degree.
We can solve it by applying quadratic formula,
Here a = –16, b = 48, c = 288
Now, write find two t's using plus and minus operation.
t = –3 (or) t = 6
We cannot write time is negative. so neglect t = –3.
Therefore t = 6.
Hence 6 sec can take penny to strike the ground.
Answer:
100,000,000
Step-by-step explanation:
You can just add up the zeros, if that makes sense.
