Answer:
x²+1/x² = 51
Explanation:
Given x - 1/x = 7 ---(1)
We know the algebraic identity:
a²+b²-2ab = (a-b)²
Or
a²+b² = (a-b)²+2ab
Now,
x²+1/x²
= (x-1/x)²+2*x*(1/x)
= (x-1/x)²+2
:7²+2 [ from (1)] =
= 49+2
= 51
Therefore,
x²+1/x² = 51
Answer:
Function rule is option c.
Answer:
38.7°
Step-by-step explanation:
You are basically looking at a triangle with a 90° angle (check picture).
Since we are looking for the ramp's angle and are given the length of the opposite and the hypothenuse, we have to solve the following equation:

which is equivalent to

So,
The probability of drawing a yellow marble is

.
Since he replaces the marble after it is drawn out, the probability of drawing another yellow is the same:

.
The probability of drawing a red marble is

.
In order to get the probability of drawing 2 yellow marbles and 1 red marble, given that each marble is replaced after it is drawn out, we must multiply the fractions together.

Because the order of the marbles doesn't matter, we will multiply the probability by 3.
Answer:
Y = 14
Step-by-step explanation:
1/2(-9 + y) = 2.5
1/2 * -9 = -4.5
1/2 * y = 0.5y
-4.5 + 0.5y = 2.5
+4.5 +4.5
0.5y = 7
/0.5 /0.5
y = 14