Answer:
2.5
Step-by-step explanation:
Put the values in place of the corresponding variables and do the arithmetic:
ab - 0.5b = (1)(5) -0.5(5) = 5 - 2.5 = 2.5
Answer:
-24.8 m/s
Step-by-step explanation:
Given:
y₀ = 60 m
y = 40 m
v₀ = 15 m/s
a = -9.8 m/s²
Find: v
There are three constant acceleration equations we can use:
y = y₀ + v₀ t + ½ at²
v = at + v₀
v² = v₀² + 2a(y − y₀)
We aren't given the time, so we need to use the third equation, which is independent of time:
v² = v₀² + 2a(y − y₀)
Plug in the values:
v² = (15 m/s)² + 2(-9.8 m/s²) (40 m − 60 m)
v² = 617 m²/s²
v ≈ ±24.8 m/s
Since the coin is on the way down, the velocity is negative. So v = -24.8 m/s.
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:
Sally is 63
Step-by-step explanation:
Represent Sally's age by x and Sam's by y.
Then x = 3y and x + y = 84.
Substituting 3y for x in the second equation, we get:
3y + y = 84, or 4y = 84, or y = 21. Since Sally is 3 times as old as Sam, we multiply 21 by 3: Sally's age is 3(21 years) = 63 years
Answer:
see below
Step-by-step explanation:
a x (b+c) = a x b + a x c
Let A= -35 , B = 10 , C= -5
-35 * ( 10 -5) = -35 *10 + -35 * -5
-35 *(5) = -350 + 175
-175 = -175