Answer:
^algebra^
#1). a - b=4
a=4 + b .....(equation 1)
#2) a + b=12
(4 + b) + b= 12
4 + b + b=12
4 + 2b=12
2b= 12 - 4
2b =8
b= 8:2
b=4
subtituted b in equation 1
a= 4 + b
a= 4 + 4
a=8
so, the number is 8 and 4
Answer:
The two numbers are 64 and 8.
Step-by-step explanation:
You meant "quotient" of two numbers, right?
Represent the numbers by x and y.
Then the quotient is x/y = 8, and beyond that we know that x + y = 72.
Solve this for x and y.
If x/y = 8, then x = 8y. Substituting this into x + y = 72, we get:
(8y) + y = 72, or 9y = 72. Dividing both sides by 9 yields y = 8.
Since x/y = 8, letting y = 8 results in x = 64.
The two numbers are 64 and 8.
Answer:
PR = 6√2, PN = 6, PQ = 12√2
Step-by-step explanation:
Find the unknowns through Sin, Cos, Tan formulae.
The explanation is attached in the pictures. !!
Answer:
C(n, 2)a^(n-2)b^2
Step-by-step explanation:
Generally, the expansion is written in decreasing powers of "a", so the first few terms would have variable constellations that look like ...
a^n, a^(n-1)b, a^(n-2)b^2, ...
The coefficients would be (in order), C(n, k) for k increasing from 0, so the coefficient of the 3rd term would be C(n, 2).
<h3>
Answer: B) 15 mph</h3>
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Explanation:
The equation d = 65t means that the rate is r = 65. So Malcolm's family travels at an average rate of 65 mph. Note this is the slope of the line.
The graph has a slope of 50 because each time we go up 50, we move to the right 1. Ie, slope = rise/run = 50/1 = 50. You could use the slope formula to get the same result.
Since the graph has a slope of 50, this means Theo's family is going at an average speed of 50 mph.
Subtract the two speeds to get 65-50 = 15 mph
