Answer:
(i)
(ii) 1072
Step-by-step explanation:
<u>Part (i)</u>
Using Binomial series formula:
<u>Part (ii)</u>
<u />
There is no need to keep expanding since the remaining will include the variable.
Therefore, the term independent of x = 64 - 1152 + 2160 = 1072
Answer:
y = -1/4x + 2.5
or
y = -1/4x + 5/2
Step-by-step explanation:
First we know that a perpendicular line is one that intersects at a 90-degree angle. This is simply the negative inverse of the slope in our case. So, 4 turns into -1/4 and that is our new slope. Next we know that we want it to pass through the point (6,1). Right now our equation is y = -1/4x + b. We can plug (6,1) into this equation and solve.
1 = -1/4(6) + b
1 = -6/4 + b
4/4 + 6/4 = 10/4
10/4 = b
simplify: 5/2 or 2.5 = b
Now we have our y-intercept, so we can complete our equation.
y = -1/4x + 2.5
or
y = -1/4x + 5/2
<h3>
Answer: 5040</h3>
Explanation:
There are 7 ways to pick the first place position, then 6 ways for second place, 5 for third, and so on. We count down until we get to 1
7,6,5,4,3,2,1
Multiply out those values to get the final answer. On many calculators this can be done using the factorial button, indicated as an exclamation mark
7! = 7*6*5*4*3*2*1 = 5040
Answer:
x= 60.4
Step-by-step explanation:
y = 60.4
z= 29.6
x= 60.4
By complementary angle rule
Answer: I think 13
Step-by-step explanation: