Answer:
4th option.
Step-by-step explanation:
PQ is not congruent to QR, instead it is PQ is perpendicular to QR.
Solve:
"<span>twice the number minus three times the reciprocal of the number is equal to 1."
3(1)
Let the number be n. Then 2n - ------- = 1
n
Mult all 3 terms by n to elim. the fractions:
2n^2 - 3 = n. Rearranging this, we get 2n^2 - n - 3 = 0.
We need to find the roots (zeros or solutions) of this quadratic equation.
Here a=2, b= -1 and c= -3. Let's find the discriminant b^2-4ac first:
disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.
That's good, because 25 is a perfect square.
-(-1) plus or minus 5 1 plus or minus 5
Then x = ------------------------------ = --------------------------
2(2) 4
x could be 6/4 = 3/2, or -5/4.
You must check both answers in the original equation. If the equation is true for one or the other or for both, then you have found one or more solutions.</span>
Answer:
the answer is approximately 48.05.
Step-by-step explanation: You can either use a calculator or estimate knowing that 50 is the square root of 2500, which is slightly above 2309. You can also use differentials and calculus to find an approximation.
Answer:
8 17/18 or 8.945
Step-by-step explanation:
2/2x165/9-55/6x3/3
326/18-165/18
161/18= 8 17/18
