Answer: TUV = SRV
Step-by-step explanation:
Its a parrolellogram and two angles are given, meaning you can find every angle.
Answer:
Ralph's current age is 18.
Step-by-step explanation:
Let r and s represent the current ages of Ralph and Sara respectively. Our task here is to determine r, Ralph's age now.
If Ralph is 3 times as old as Sara now, then r = 3s.
Six years from now, Ralph's age will be r + 6 and Sara's will be s + 6. Ralph will be only twice as old as Sara will be then. This can be represented algebraically as
r + 6 = 2(s + 6).
We now have the following system of linear equations to solve:
r + 6 = 2s + 12, or r - 2s = 6, and r = 3s (found earlier, see above).
r - 2s = 6
r = 3s
Substituting 3s for r in r - 2s = 6, we get 3s = 2s + 6, or s = 6. Sara is 6 years old now, meaning that Ralph is 3(6 years), or 18 years old.
Ralph's current age is 18.
f(x) = -x² + 3
f(-2) = -(-2)² + 3 = -4 + 3 = -1
Answer → f(-2) = -1
Answer:
b = -3
Step-by-step explanation:
-13 = 2b - b - 10
Add 10 to both sides of the equation
-3 = 2b - b
Subtract 2b - b
-3 = b
b = -3
Hope this helps :)
Answer:
111100 base 2
Step-by-step explanation:
The conversion of 60 base 10 to base 2
When converting a number from base 10 to base 2, the following steps are taken:
a) The number in base 10 is divided by 2 and the remainder is recorded, this continues until the remainder is less than 2.
b) The remainder from the bottom to the top are arranged so as to get the representation of the number in base 2.
60 base 10 to base 2
60 ÷ 2 = 30 remainder 0
30 ÷ 2 = 15 remainder 0
15 ÷ 2 = 7 remainder 1
7 ÷ 2 = 3 remainder 1
3 ÷ 2 = 1 remainder 1
1 ÷ 2 = 0 remainder 1
The remainder from bottom to top is 111100 base 2.
(60)₁₀ = (111100)₂
