Answer:
The solution of system of equation is (-2,0)
Step-by-step explanation:
Given system of equation are
Equation 1 : 2x+y=(-4)
Equation 2 : y+
x=(-1)
To plot the equation of line, we need at least two points
For Equation 1 : 2x+y=(-4)
Let x=0
2x+y=(-4)
2(0)+y=(-4)
y=(-4)
Let x=1
2x+y=(-4)
2(1)+y=(-4)
y=(-6)
Therefore,
The required points for equation is (0,-4) and (1,-6)
For Equation 2 : y+
x=(-1)
Let x=0
y+
x=(-1)
y+
(0)=(-1)
y=(-1)
Let x=2
y+
x=(-1)
y+
(2)=(-1)
y=(-2)
The required points for equation is (0,-1) and (2,-2)
Now, plot the graph using this points
From the graph,
The red line is equation 1 and blue line is equation 2
Since. The point of intersection is solution of system of equations
The solution of system of equation is (-2,0)
Answer:
![m=-2](https://tex.z-dn.net/?f=m%3D-2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Slope Formula:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-5, 13)
Point (2, -1)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
![m=\frac{-1-13}{2+5}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-1-13%7D%7B2%2B5%7D)
- Subtract/Add:
![m=\frac{-14}{7}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-14%7D%7B7%7D)
- Divide:
![m=-2](https://tex.z-dn.net/?f=m%3D-2)
answer:
5.002 inches
step-by-step explanation:
- find the diameter of the circle
- the diameter is the side length of the square since the sides of it are touching the circle
c = 2πr
- c stands for circumference
- π stands for pi (or 3.14)
- r stands for radius
- plug in the values given to find the diameter
c = 2πr
15.71 = 2(3.14)r
15.71 = 6.28r
r = 2.501 (rounded or estimated)
- now that we have the radius, we can find the diameter by multiplying by 2, since diameter is two times bigger than the radius
diameter = 5.002 (estimated)
- now, that will be the side length because the diameter = the side length
The problem is discrete, because the cost of movies cannot be below zero, and neither can the number of movies purchased