Answer:
Step-by-step explanation:
If you call "5x-2x^2+1" an "equation," then you must equate 5x-2x^2+1 to 0:
5x-2x^2+1 = 0
This is a quadratic equation. Rearranging the terms in descending order by powers of x, we get:
-2x^2 + 5x + 1 = 0. Here the coefficients are a = -2, b = 5 and c = 1.
Use the quadratic formula to solve for x:
First find the discriminant, b^2 - 4ac: 25 - 4(-2)(1) = 25 + 8 = 33
Because the discriminant is positive, the roots of this quadratic are real and unequal.
-b ± √(discriminant)
Applying the quadratic formula x = --------------------------------
2a
we get:
-5 ± √33 -5 + √33
x = ----------------- = --------------------- and
2(-2) -4
-5 - √33
---------------
-4
Answer:
A ✓5 is the irrational number.
Step-by-step explanation:
Have a good day. :)
Answer:
B I hope this helps.......
Answer:
She uses 243 beads for the 5th string.
Step-by-step explanation:
In this problem, we can see a pattern. If she triples the number of beads in each of the next strings, that means that we just take the last number and multiply by 3. If the first string uses 3, then:
The second uses 9, 3 * 3 = 9
The third uses 27, 9 * 3 = 27
The fourth uses 81, 27 * 3 = 81
And the 5th uses 243, 81 * 3 = 243.
Answer:
Step-by-step explanation:
9. For the lines 'm' and 'n' to be parallel the sum of interior angles should be 180 degrees that is:
10. For the lines 'm' and 'n' to be parallel the alternate exterior angles should be equal that is:
11. For the lines 'm' and 'n' to be parallel alternate angles should be equal that is:
Solving for 'x' we get:
12. For the lines 'm' and 'n' to be parallel corresponding angles should be equal that is:
