9514 1404 393
Answer:
B (2 violet)
Step-by-step explanation:
Let the colors be represented by their first letter. Then the balances give rise to two equation:
o +y +b +v = r +g +b
o +y +v = g +v
Subtracting the second equation from the first gives ...
(o +y +b +v) -(o +y +v) = (r +g +b) -(g +v)
b = r +b -v
Adding v-b to both sides, we have ...
b +(v -b) = r +b -v +(v -b)
v = r
Multiplying this result by 2, we can match the final balance:
2r = 2v . . . . . . . choice B
Answer:
1. (n + 3)(5n + 8)
2. (x - 4)(7x - 4)
3. (k + 8)(7k + 1)
Step-by-step explanation:
1. We have to factorize 5n² + 23n + 24.
Now, 5n² + 23n + 24
= 5n² + 15n + 8n + 24
= 5n (n + 3) + 8 (n + 3)
=(n + 3)(5n + 8) (Answer)
2. We have to factorize 7x² - 32x + 16
Now, 7x² - 32x + 16
= 7x² - 28x - 4x + 16
= 7x (x - 4) - 4 (x - 4)
= (x - 4)(7x - 4) (Answer)
3. We have to factorize 7k² + 57k + 8
Now, 7k² + 57k + 8
= 7k² + 56k + k + 8
= 7k (k + 8) + 1 (k + 8)
= (k + 8)(7k + 1) (Answer)
Step-by-step explanation:
17². + 144²=x²
289 + 20736=x²
x²=21025
x =√21025
x=145
145 miles apart
Not the prettiest but you can simplify
Answer:
<h2>D. g(x) = (x - 4)²</h2>
Step-by-step explanation:
f(x) + n - shift the graph n units up
f(x) - n - shift the graph n units down
f(x - n) - shift the graph n units to the right
f(x + n) - shift the graph n units to the left
=========================================
The graph of f(x) shifted by 4 units to the right. Therefore, the equation g(x) is:
g(x) = f(x - 4) = (x -4)²
