Answer:
Below.
Step-by-step explanation:
1. a^2 - b^2 = (a - b)(a + b)
a^2 and b^2 are 2 perfect squares and a^2 - b^2 are their difference.
2. The order of multiplication does not matter because in algebra multiplication is commutative ( meaning any order gives the same result).
Answer:
a = 0.3 and b = - 1.1
Step-by-step explanation:
(x - 2)² = x² -4x + 4
Hence, x² - 4x + 4 = 3x - 6
x² - 7x + 10 = 0
(x - 5)(x - 2) = 0
∴ x = 5 or 2
f(5) = 25a + 5b = 2 ----- (i)
f(2) = 4a + 2b = -1 ------ (ii)
(i) X 2: 50a + 10b = 4 ----- (iii)
(ii) X 5: 20a + 10a = -5 ---- (iv)
Subtract (iv) from (iii): 30a = 9
a = 0.3
Substitute a into (ii) to obtain b
4(0.3) + 2b = -1
2b = -1 - 1.2 = -2.2
∴ b = -1.1
Answer:
102.6666... feet in one second 1232 feet in twelve seconds.
Step-by-step explanation:
Most clear way of solving this breakdown the proportions by keep the value.
1 mile = 5280 feet.
1 hour = 60 minutes = 3600 seconds -- See now it is easy.
Feet per second...
= feet/seconds
(70*5280) = 369,600/3,600 = 102.666666667 -- That is 102.66...feet per second.
For twelve seconds just multiply by 12.
102.666666667*12 = 1232 feet in twelve seconds.
