Allow me to review before I start. Inconsistent means there's no solution to the system of simultaneous equations, i.e. parallel lines. Consistent means there's at least one solution. Independent and dependent apply to consistent systems. The former means exactly one solution (two lines in different directions which meet). Dependent means an infinite number of solution; the two lines are really the same line.
1. We have two different slopes, lines in two different directions, so they'll meet in exactly one place. That system is consistent and independent, the usual case.
2. We can write the first one y-3x= -2 and the second y-3x=+2. These are parallel lines that are different, so no solution: inconsistent.
3. The first equation is x+2y=4, same as the second. An infinite number of solutions. Consistent and dependent.
Answer:
Basma can cut 38 ribbons.
For the remainder in this problem we should <u>ignore it</u>.
Step-by-step explanation:
Given:
Length of the ribbon she has in all = 925.6 in
Length of each ribbon = 24 in.
We need to find the number of ribbons she can cut.
Solution:
Now we know that;
number of ribbons she can cut can be calculated by dividing Length of the ribbon she has in all by Length of each ribbon.
framing in equation form we get;
number of ribbons she can cut = ![\frac{925.6}{24} = 38.57](https://tex.z-dn.net/?f=%5Cfrac%7B925.6%7D%7B24%7D%20%3D%2038.57)
so we can say that;
Basma can cut 38 ribbons.
For the remainder in this problem we should <u>ignore it</u>.
Answer:
I’m too lazy so just look at the picture.
Step-by-step explanation:
Answer:
x = 59.4°
Step-by-step explanation:
Reference angle = x
Side opposite to x° = 22
Adjacent side = 13
To find x, apply trigonometric ratio formula. Thus:
![tan(x) = \frac{22}{13}](https://tex.z-dn.net/?f=%20tan%28x%29%20%3D%20%5Cfrac%7B22%7D%7B13%7D%20)
![x = tan^{-1}(\frac{22}{13})](https://tex.z-dn.net/?f=%20x%20%3D%20tan%5E%7B-1%7D%28%5Cfrac%7B22%7D%7B13%7D%29%20)
(nearest tenth of degree)