Answer: if we divide the numerator and denominator by two, we get that he can paint two paintings in one hour. His unit rate is 2:1.
4:2 divide by two to make the denominator 1
2:1 solution has 1 in the denominator
Step-by-step explanation:
Answer:
Point-slope form:
y-5= -1/3 times (x+9)
This is only for the first part
Answer:
angle 2
Step-by-step explanation:
adds up to 180 degrees
Answer:
Point-Slope: 
Slope-Intercept: 
Step-by-step explanation:
The point-slope formula is
. The slope-intercept formula is
. Since we are given the point and slope, we can directly plug it into the point-slope formula.
Point-Slope


To find the slope-intercept form, we can manipulate the point-slope form to get the slope-intercept form.
Slope-Intercept


The roots: this is when y=0, so in yours there are 2 roots. Just look at the x value when y=0 and that is your roots.
Y intercept- this is when x=0, so just look at the y value below x=0 and that is the y intercept. Note the answer will probably be in the form (0,_)
Vertex=do you see a pattern? Well the vertest would be the highest or lowest point of the quadratic equation. Your vertex would be (5,-9) because just look at x=4 and x=6, bit of the y values are -8 and when you look at x=3 and x=7 they are also the same because this is a quadratic equation.
Max or min: yours is a minimum because (5,-9) is the lowest point. Every value left and right of this are higher up the graph, so this would be a minimum.
*something that will help you see this all more clearly is if you graphed this or put it into Desmos to see the vertex etc.