Answer:
Step-by-step explanation:
2/5 is the answer so the reciprocal would be 5/2
Jack has a cake and another half of a cake, Jill has 2 and 2/3rds cakes, Blake has 3 and 2/3rds of a cake, Peter has 4 and 2/3rds of a cake, and Daniel has 2 and a half cakes. How many cakes do they have in total?
1+1/2+2+2/3+3+2/3+4+2/3+2+1/2 = 6/6 (finding the least common multiple of 1, 2, and 3)+3/6+12/6+4/6+18/6+4/6+12/6+3/6= 90/6=15 cakes
The 2 in 2,783 has a value of two thousand. The 2 in 7,283 has a value of two hundred.
A. True. Summing any rational number with an irrational number leads to an irrational result. The proof is a bit lengthy so I'm leaving it out.
B. True. Adding p/q with r/s leads to (ps+qr)/(qs) which is rational. Keep in mind that q and s cannot be zero.
C. False. One counter example is sqrt(3)*sqrt(12) = sqrt(3*12) = sqrt(36) = 6. This shows the product of two irrational numbers, in this case sqrt(3) and sqrt(12), multiplying to get a rational result 6 = 6/1.
D. True. Multiplying p/q and r/s leads to (p*r)/(q*s) which is rational. Keep in mind that q and s cannot be zero.
----------------------------------------------------------------------
The final answer is choice C
Slope intercept form isy=mx+b
m=slope
b=y intercept
ok so to find the slope when given 2 points you do
slope=(y1-y2)/(x1-x2)
(x,y)
(-1,-9)
(2,6)
x1=-1
y1=-9
x2=2
y2=6
subsitute
slope=(-9-6)/(-1-2)
slope=(-13)/(-3)
slope=13/3
y=13/3x+b
subsitute a given point to find b
(2,6)
x=2
y=6
6=13/3(2)+b
6=26/3+b
subtract 26/3 from both sides
6-26/3=b
6=18/3
18/3-26/3=8/3
8/3=b
the equation si
y=(13/3)x+8/3
