Answer:
The slope is 3.
Step-by-step explanation:
y=-1+3x
y=3x-1
y=mx+b where m=slope and b=y-intercept
Answer:
Step-by-step explanation:
y - x = -5
y = x-5
y = 2x² - 3x - 5
x-5 = 2x² - 3x - 5
2x² - 4x = 0
x² - 2x = 0
x(x - 2) = 0
x = 2, 0
(x,y) = (2,-3), (0,-5)
We are given the system of equations -:
Since the second equation is y-isolated equation. It can be substituted as y = 6x+22 in the first equation.
Expand 3 in the expression so we can combine like terms and isolate x-variable.
Then combine like terms.
Get rid of 66 from the left side by subtracting both sides by itself.
To finally isolate the variable, divide both sides by 20 so we can leave x only on the left side.
Simplify to the simplest form.
Normally, we have to find the y-value too but since we only find x-value. The answer is x = -4.
Answer
I hope this helps! If you have any questions or doubts regarding my answer, explanation or system of equations, feel free to ask!
Vertical angles are formed when two lines intersect, and two angles that are on opposite sides of both lines.
The angles on the west side and the east side form two vertically opposite angles (commonly called vertical angles, but much less descriptive).
It is because the west angle is to the left of both lines, and the east angle is to the right of both lines.
Vertically opposite angles (vertical angles) are congruent. Therefore we can form the equation
110 = 5x
Divide both sides by 5 to get
110/5=22 = 5x/5 = x
or
x=22 degrees.
The <em><u>correct answer</u></em> is:
bx + 3y > 6 and y > 2x + 4
Explanation:
Looking at the second inequality, the y-intercept is 4 and the slope is 2. This means the graph of the line crosses the y-axis at (0, 4) and the line goes up 2 and over 1. Since it is greater than, this means the graph is shaded above it. Comparing this to the graph, the line for the blue part crosses the y-axis at (0, 4) and goes up 2 and over 1. The graph is also shaded above the line.
For the first inequality, bx+3y > 6, we want to isolate y. To do this, we subtract bx from each side:
bx+3y-bx > 6-bx
3y > 6-bx
Divide both sides by 3:
3y/3 > 6/3 - bx/3
y > 2 - (b/3)x
This means the line for this will have a y-intercept of 2 and decrease 1 while going over 3. The orange section does this. Additionally, since it is greater than, the graph should be shaded above the line. This one is, so this is the correct answer.
