Expand (p-q)^4
Apply Binomial Theorem, and your final answer should be: \(\boxed{p^4-4p^3q+6p^2q^2-4pq^3+q^4}\)
Ok, here I go:
To find the slope, we use our trusty formula- \(\frac{y_2-y_1}{x_2-x_1}\)
Plugging in the values, we have:\(\frac{13-5}{8-2}=\frac{8}{6}=\frac{4}{3}\)
But since the two tangents lines are perpendicular to this diameter and have a slope equal to the negative reciprocal of the diameter’s slope, we have \(\boxed{\frac{-3}{4}}\)
Let's say the x is the miles per hour for car A, and x+10 is the number of miles for car B(says in the problem/question)
Since Car A travels 120 miles when Car B travels 150 miles, we can do:\(\frac{120}{x}=\frac{150}{x+10}\).
Cross multiplying, we have 120(x+10)=150x- 120x+1200=150x
We get 30x=1200-x=40
Thus, Car A travels 40 mph, and Car B travels 50 mph.
We have 90*2*2*2, because it doubles every 4 hours, and 12/4=3, so 3 two's.
Thus, the answer is \(\boxed{720}\)
Total: 2*2=4, 2*4=8, 2*7=14, 2*9=18
4*2=8. 4*4=16, 4*7=28, 4*9=36
7*2= 14, 7*4=28, 7*7=49, 7*9=63
9*2=18, 9*4=36, 9*7=63 9*9=81
2*7 works, 2*9 works, 4*4 works, 7*2, and 9*2 works.
Thus, \(\boxed{5}\) values.
Total 100:
More than 3 broken bones, as shown in the diagram: 10+15=25
Thus, 25/100=1/4=\(\boxed{0.25}\)
Clarity is really bad, can't read.
Is this what you're trying to say?
35+30s-45t35+30s-45t35+30-s-45?
(a) x+y=25, both are addends that make up the sum.
(b) x=6, y=19
x=10, y=15
x=16, y=9
(c) Graph it on a data line.
Probably, number 3 is distributed, unless if there's something special on that day.
Wait till someone else posts a full solution.
The area of the circle can be found, using \(\pi r^2\)
Since \(\frac{3}{4}\) is the diameter, then the radius should be \(\frac{1}{2}*\frac{3}{4}=\frac{3}{8}\)
Plugging the value into the formula, we have: \(\pi\frac{3}{8}^2=3.14*\frac{9}{64}\)
But, since the answer box wants the fraction, we get: \(\boxed{\frac{9}{64}}\)
