Answer:
x=8
Step-by-step explanation:
The exterior angle of the triangle is equal to the sum of the opposite interior angles
11x+2 = 6x+2 + 40
Combine like terms
11x+2 = 6x+42
Subtract 6x from each side
11x+2-6x = 6x+42-6x
5x+2 = 42
Subtract 2 from each side
5x+2-2 = 42-2
5x = 40
Divide each side by 5
5x/5 = 40/5
x = 8
Answer:
.07 * 321 = 22.47
Step-by-step explanation:
To be honest, I'm not sure which four steps your teacher is referring to. However, I'll show you one way to graph this.
A graph is simply a collection of points. Often those points are connected in some way (though they don't necessarily have to be) to form a curve.
Each point is of the form (x,y). To get each point, we pick random x values and determine their paired y value counterpart.
For example, if we pick x = -3, then,
y= -x^2 -4x -3
y= -(-3)^2 -4(-3) -3
y = -9 - 4(-3) - 3
y = -9 + 12 - 3
y = 0
This indicates that (-3, 0) is one point on the curve.
Let's repeat for x = -2
y= -x^2 -4x -3
y= -(-2)^2 -4(-2) -3
y = -4 - 4(-2) - 3
y = -4 + 8 - 3
y = 1
So (-2, 1) is another point on the curve.
Repeat this process as many times as you want. You should do at least 3 or 4 points in my opinion. The more points you generate, the more accurate the curve. After generating the points, you'll plot them all on the same xy grid. Then finally draw a curve through all of the points as shown below.
I used GeoGebra to make the graph.
The higher the slope closer it is to being vertical. The lower the slope the closer it is to being horizontal.If the slope is positive Y increases as X increases if the slope is negative Y decreases as X increases.