Answer:
slope: -1/2
y-intercept: -2
Step-by-step explanation:
f(x) = mx+b
m is slope
b is the y-intercept
so
if f(x) = -1/2x - 2
then
the slope or m is -1/2
and the y-intercept or b is -2
Answer:
500 total pages. 190 pages with no pictures.
Step-by-step explanation:
310 is 0.62 of the total pages. 310 divided bye 0.62 is 500.
500 minus 310 is 190 pages with no pictures.
Hope this helps!
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.
Answer:
Step-by-step explanation:
You are to assume in both problems that the two triangles are similar. That is a very dangerous assumption -- especially in later math classes. But in this case, there is no other way to do the problem. The two sets of triangles look like they are proportional. So set up two ratios that are = to each other
On the left
long side small triange / long side large triangle = base small triangle / base large triangle
On the right
hypotenuse/longest leg = hypotenuse / longest leg.
Problem A
Set up the similar Proportion
5/40 = x/20 Cross Multiply
40x = 20*5
40x = 100 Divide by 40
x = 100/40
x = 2.5
Problem B
Again set up the similar triangle proportion
15/10 = x/2 Multiply by 2
15*2/10 = x
3 = x
