Answer:
Circumference= 69.08
Area = 380.13
Step-by-step explanation:
its spends 2.5 hours going 35 miles per hour. so the answer is 2.5 because 35 miles as you said goes 2.5 hours
One line passes through the points (-2,3) and (0,-3) , it means the y intercept is b=-3
and slope m = ![\frac{(-3-3)}{0-(-2)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28-3-3%29%7D%7B0-%28-2%29%7D%20%20)
![= \frac{-6}{2}= -3](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B-6%7D%7B2%7D%3D%20-3%20%20%20)
So the equation of line will be ![y= -3x -3](https://tex.z-dn.net/?f=%20y%3D%20-3x%20-3%20)
And the inequality should be ![y\geq -3x-3](https://tex.z-dn.net/?f=%20y%5Cgeq%20-3x-3%20)
Or ![3x +y \geq -3](https://tex.z-dn.net/?f=%203x%20%2By%20%5Cgeq%20-3%20)
And the other line passes through (-2,3) and (0,2)
So the y intercept is b=2
and the slope is ![m= \frac{2-3}{0-(-2)} = \frac{-1}{2}](https://tex.z-dn.net/?f=%20m%3D%20%5Cfrac%7B2-3%7D%7B0-%28-2%29%7D%20%3D%20%5Cfrac%7B-1%7D%7B2%7D%20%20%20)
So the equation of line will be ![y= \frac{-1}{2} x +2\\and the inequality should be y \leq \frac{-1}{2} x+2](https://tex.z-dn.net/?f=%20y%3D%20%5Cfrac%7B-1%7D%7B2%7D%20x%20%2B2%5C%5Cand%20the%20inequality%20should%20be%20%20y%20%5Cleq%20%5Cfrac%7B-1%7D%7B2%7D%20x%2B2%20%20)
Or
![2y +x \leq 4](https://tex.z-dn.net/?f=%202y%20%2Bx%20%5Cleq%204%20)
So answer is ![3x +y \geq -3, x+2y\leq 4](https://tex.z-dn.net/?f=%20%203x%20%2By%20%5Cgeq%20-3%2C%20%20x%2B2y%5Cleq%204%20)
Use multiplication:
![2\text{ sizes}*8\text{ flavors}*8\text{ toppings}=\large\boxed{128\text{ pizzas}}](https://tex.z-dn.net/?f=2%5Ctext%7B%20sizes%7D%2A8%5Ctext%7B%20flavors%7D%2A8%5Ctext%7B%20toppings%7D%3D%5Clarge%5Cboxed%7B128%5Ctext%7B%20pizzas%7D%7D)
This question is basically the same as the other question of yours that I answered, so the explanation is very similar:
You can imagine the possibilities as leaves on a tree. Your tree has 2 large branches to represent the two possible sizes. Each of those branch off into 8 smaller branches, each representing a crust flavor. Each one of the smaller branches has 8 leaves to represent a different topping. Each leaf is a combination of a size, a crust flavor, and a topping, so it represents a complete pizza. Your job is to calculate the number of leaves.
Answer:
, a linear equation is an equation that may be put in the form where are the variables, and are the coefficients, which are often real numbers. The coefficients may be considered as parameters of the equation, and may be arbitrary expressions, provided they do not contain any of the variables.
Step-by-step explanation:
y= 2x+1 is a linear equation