<span>Justification
Step 1: Let a = b.
Step 2: Then a^2 = ab ,
Step 3: a^2 + a^2 = a^2 + ab ,
Step 4: 2a^2=a^2 + ab,
Step 5: 2a^2 - 2ab = a^2 + ab - 2ab,
Step 6: and 2a^2 - 2a^b = a^2 + ab - 2ab .
Step 7: This can be written as 2(a^2 - ab) = 1(a^2 - ab) ,
Step 8: and cancelling the (a^2 - ab) from both sides gives 1 = 2.</span>
1800 ft² = 3 pounds
[divide by 3 through]
1800 ÷ 3 = 3 ÷ 3
600ft² = 1 pound
[8400 ÷ 600 = 14; so multiply by 14 through]
600 x 14 = 1 x 14
8400ft² = 14 pounds
we need 14 pounds to cover 8400 square feet.
[Find number of 4 pounds bags needed]
14 ÷ 4 = 3.5
So we need to use 4 bags of 14 pounds of lawn seeds.
Answer:
Step-by-step explanation:
a.) When you have the following equation 
To find the vertex you take the h value, change its sign (to positive in this case) and that will give you the x value. To find the y-value just take the z. This gives us (15,-100)
b.) The axis of symmetry is just the x value of the vertex which is 15
c.) I'm not too sure what this means but can tell you that it's concave up because there's no way x can be negative
d.)Because the a value is positive that means that the graph is concave up which means that it has a minimum. The minimum is just the y value of the vertex which is just -100
e.) I'm going to write this in interval notation. The domain is all the possible x values of the graph which is all real numbers or (-∞,∞). The range is all the possible y values. We know that the minimum is -100 which means all the possible y values are [-100,∞)
f.) This is obviously a parabola and because the graph is concave up and has a negative minimum there must be 2 x intercepts.
Answer:
22 times
Step-by-step explanation:
Since there are four colors that cycle in each pattern stage (blue green yellow orange) and there are 88 beads, there would be 22 repetitions of the pattern since 88/4 = 22.
Answer:
v= 2.66 m/sec
Step-by-step explanation:
supposing we have to find their speed just as he grabs her.
Applying law of conservation of Energy
That is
p_i= p_f
Initial momentum = p_i = 35×0+ 44×4.9= 210.6 kg.m/sec.
final momentum p_f= (35+44)v
let the final velocity of combined body be v
therefore,
79v= 210.6
v= 2.66 m/sec.
