Answer:
x(2x+3)
Step-by-step explanation:
2x^2+3x=x(2x+3)
Notice the picture below
you have two triangles, and you have the opposite and adjacent sides
thus, recall your SOH CAH TOA
![\bf sin(\theta)=\cfrac{opposite}{hypotenuse} \qquad \qquad % cosine cos(\theta)=\cfrac{adjacent}{hypotenuse} \\ \quad \\\\ % tangent tan(\theta)=\cfrac{opposite}{adjacent}](https://tex.z-dn.net/?f=%5Cbf%20sin%28%5Ctheta%29%3D%5Ccfrac%7Bopposite%7D%7Bhypotenuse%7D%0A%5Cqquad%20%5Cqquad%20%0A%25%20cosine%0Acos%28%5Ctheta%29%3D%5Ccfrac%7Badjacent%7D%7Bhypotenuse%7D%0A%0A%5C%5C%20%5Cquad%20%5C%5C%5C%5C%0A%25%20tangent%0Atan%28%5Ctheta%29%3D%5Ccfrac%7Bopposite%7D%7Badjacent%7D)
anyhow.. the one that has only
the angle
the opposite
and the adjacent
is Ms Tangent, so lets ask her some
![\bf tan(29^o)=\cfrac{x}{y}\implies y\cdot tan(29^o)=x \\\\\\ tan(25^o)=\cfrac{x}{100-y}\implies (100-y)tan(25^o)=x\\\\ -----------------------------\\\\ x=x\qquad thus\qquad y\cdot tan(29^o)=(100-y)tan(25^o)](https://tex.z-dn.net/?f=%5Cbf%20tan%2829%5Eo%29%3D%5Ccfrac%7Bx%7D%7By%7D%5Cimplies%20y%5Ccdot%20tan%2829%5Eo%29%3Dx%0A%5C%5C%5C%5C%5C%5C%0Atan%2825%5Eo%29%3D%5Ccfrac%7Bx%7D%7B100-y%7D%5Cimplies%20%28100-y%29tan%2825%5Eo%29%3Dx%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0Ax%3Dx%5Cqquad%20thus%5Cqquad%20%20y%5Ccdot%20tan%2829%5Eo%29%3D%28100-y%29tan%2825%5Eo%29)
solve for "y"
Answer:
square root of 2
Step-by-step explanation:
Answer:
Since the square root of 25 = 5 and the square root of 36 is 6 it is known that the square root of 33 is between 5 and 6.
Step-by-step explanation:
The key to this is to think about perfect squares, specifically the ones closest to 33. These are 25 and 36, which have square roots of 5 and 6 respectively. Because 33 is between these numbers, you know for certain that its square root is between <em>their</em> square roots too.
Let me know if you need a more in-depth explanation!