A. 2x^2 - 3x + 10 = 2x + 21
2x^2 - 3x - 2x + 10 - 21 = 0
2x^2 - 5x - 11 = 0 (quadratic equation)
2x^2 - 6x - 7 = 2x^2
2x^2 - 2x^2 - 6x - 7 = 0
-6x - 7 = 0 (not a quadratic equation)
5x^2 + 2x - 4 = 2x^2
5x^2 - 2x^2 + 2x - 4 = 0
3x^2 + 2x - 4 (quadratic equation)
5x^3 - 3x + 10 = 2x^2
5x^3 - 2x^2 - 3x + 10 = 0 (not a quadratic equation)
Therefore, options a and c can be solved using the quadratic formula.
Answer:
(C)81
Step-by-step explanation:
Total Number of Students =300
Percentage who had cats, n(C) = 40%
Percentage who had both cats and dogs ,
= 12%
Percentage who had neither cats nor dogs,
=45%
Now:
Universal Set, 

Therefore:
Number of Students who had dogs
=27% of 300
=81
The angles inside a triangle always add up to 180 degrees.
The whole thing is one big triangle made of two smaller ones.
28 + 58 + 77 + x = 180
163 + x = 180
x = 180 - 163
x = 17
Answer:
11.180339887498cm or 11.2cm
Step-by-step explanation:
Using pythagoras- a² + b² = c²
Therefore 5² + 10² = 125²
Root of 125 will be the answer