Since n=5, take the 6th row of Pascal Triangle: (a+b)⁵:
(a+b)⁵ = a⁵+5a⁴b+10a³b²+10a²b³+5ab⁴+b⁵.
But a= 2x and b=y, plug in:
(2x)⁵ + 5(2x)⁴y + 10(2x)³y² + 10(2x)²y³ + 5(2x)y⁴ +y⁵
32x⁵ + 80x⁴y +80x³y² + 40x²y³ + 10xy⁴ + y⁵
The 3rd term has a:
coefficient = 80
power of x= 3
power of y =2
3 = x/2
x = 3 * 2
<u>x </u><u>=</u><u> </u><u>6</u>
.......
Answer:
use the pythagoras theorem ok for 3rd side
i.e. (5.6)²+(3.9)²=c²
Answer:
7.5 nuts each day
Step-by-step explanation:
(2*7)+(3*7)=35 spoons of nuts
35*3=105 nuts in two weeks
105/14=7.5 nuts each day
Answer:
y=-3x+5
Step-by-step explanation: Yes you have it correct. The question is asking for you to put it into an equation that fits the slope and y-intercept which is slope-intercept form. Additional note, when you have a problem like this and it doesn't say what type of equation form to put it in, put it in slope-intercept form for simplicity's sake.