Answer:
the third one is the correct answer
Answer:
already in standard form
Step-by-step explanation:
the equation of a quadratic in standard form is
y = ax² + bx + c ( a ≠ 0 )
y = x² + 4x + 3 ← is in standard form
with a = 1 , b = 4 , c = 3
Dilation- bagel to mini bagels, different ring sizes, font sizes (that was a good one)
rotation- bike tires, ceiling fans, umbrellas
translation- lockers, stadium style seats, floor tiles, bricks in the walls
Answer:
Part 1) ![x=\frac{10\sqrt{3}}{3}\ units](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B10%5Csqrt%7B3%7D%7D%7B3%7D%5C%20units)
Part 2) ![y=5\ units](https://tex.z-dn.net/?f=y%3D5%5C%20units)
Step-by-step explanation:
step 1
Find the value of x
In the right triangle of the figure
---> opposite side angle of 30 degrees divided by the hypotenuse
Remember that
![sin(30^o)=\frac{1}{2}](https://tex.z-dn.net/?f=sin%2830%5Eo%29%3D%5Cfrac%7B1%7D%7B2%7D)
substitute
solve for x
![x=\frac{5\sqrt{3}}{3}(2)](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%5Csqrt%7B3%7D%7D%7B3%7D%282%29)
![x=\frac{10\sqrt{3}}{3}\ units](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B10%5Csqrt%7B3%7D%7D%7B3%7D%5C%20units)
step 2
Find the value of y
In the right triangle of the figure
---> adjacent side angle of 30 degrees divided by the hypotenuse
we have
![x=\frac{10\sqrt{3}}{3}\ units](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B10%5Csqrt%7B3%7D%7D%7B3%7D%5C%20units)
![cos(30^o)=\frac{\sqrt{3}}{2}](https://tex.z-dn.net/?f=cos%2830%5Eo%29%3D%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D)
substitute
![y=(\frac{\sqrt{3}}{2})(\frac{10\sqrt{3}}{3})](https://tex.z-dn.net/?f=y%3D%28%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%29%28%5Cfrac%7B10%5Csqrt%7B3%7D%7D%7B3%7D%29)
![y=5\ units](https://tex.z-dn.net/?f=y%3D5%5C%20units)
Answer: Number 1- linear, Number 2- linear, Number 3- Nonlinear, Number 4- linear, Number 5- Nonlinear, Number 6- Nonlinear, Number 7- Nonlinear,
Number 8- linear
Step-by-step explanation: Hope this helps