14 - 2n = -32
32 + 14 = 2n
46 = 2n
46/2 = n
23 = n
Checking:
14 - 2(23) = -32
14 - 46 = -32
-32 = -32 (Matched, answer is correct n = 23)
Answer: Y- 3
Step-by-step explanation:
Point A prime is 3 units below Point A, as goes for each of the other corresponding point pairs. ( B and B prime, C and C prime)
Let red marbles = X.
The probability is 1 out of 5, written as 1/5
1/5 in terms of red marbles is equal to the number of red marbles divided by 5x, where 5x is the total number of marbles.
1/5 = x/5x
Now you have 5x total marbles, x red and 4x blue.
Add 5 more red and the new probability is:
(x+5)/(5x+5) = 1/3
Simplify:
3x+15 = 5x+5
Now solve for x:
Subtract 3x from both sides:
15 = 2x +5
Subtract 5 from each side:
2x = 10
Divide both sides by 2:
x = 10/2
X = 5
There were originally 5 red marbles.
Answer:
y=5x-11
Step-by-step explanation:
parallel lines have the same slope 5
y-4=5(x-3)
y-4=5x-15
y=5x-15+4
y=5x-11
We know:x^2+y^2+x−6y+9=0So, we complete the square as such:x^2+y^2+x−6y+9=x^2+x+y^2−6y+9=(x+1/2)^2+(y−3)^2=(1/2)^2=1/4
