The given expression is a difference of squares, so we have
16 (<em>a</em> + <em>b</em>)² - 49 (<em>a</em> - <em>b</em>)² = 4² (<em>a</em> + <em>b</em>)² - 7² (<em>a</em> - <em>b</em>)²
… = (4 (<em>a</em> + <em>b</em>))² - (7 (<em>a</em> - <em>b</em>))²
… = (4 (<em>a</em> + <em>b</em>) - 7 (<em>a</em> - <em>b</em>)) (4 (<em>a</em> + <em>b</em>) + 7 (<em>a</em> - <em>b</em>))
… = (4<em>a</em> + 4<em>b</em> - 7<em>a</em> + 7<em>b</em>) (4<em>a</em> + 4<em>b</em> + 7<em>a</em> - 7<em>b</em>)
… = (-3<em>a</em> + 11<em>b</em>) (11<em>a</em> - 3<em>b</em>)
For part (a), first consider the simple case where we roll two dice.What is the probability that the second roll is greater than the first? Assuming a six-sided dice, the total number of outcomes $(i,j)$ is $6^2$.
Answer: (A) -5 and (C) -3
<u>Step-by-step explanation:</u>
See attached graph. They intersect when x = -5 and when x = 3
Answer:
1/8 or 0.125 pounds of sandwich
Step-by-step explanation:
in this question, we are asked to calculate the amount of cheese in a pound cheeses used in each sandwich
This is a straightforward question. The total number or fraction of sandwich is what we want to get. now to get this, we simply divide whatever is in the total by 4.
this is mathematically equal to 1/2 divided by 4 = 0.5/4 = 0.125 or 1/8 pounds of sandwich
Answer:
600kW
Step-by-step explanation:
Referring to the fact that 10m/s of wind is 500kW so divide 500 by 10.
500/10=50
So there is 50 kW is 1m/s of wind. Now multiply 12 by 50
12x50=600
So for 12m/s of wind there is 600kW
