9514 1404 393
Answer:
(x, y) = (0, -26)
Step-by-step explanation:
The y-intercept is the y-value that corresponds to x=0. Here, we have a table that has x-values that differ by 12 and 24. We want to find the y-value that corresponds to an x-value 24 less than the lowest one on the table:
24 -24 = 0
We notice that when x-values differ by 24, the y-values differ by 10 -(-8) = 18. So, the y-value we want is 18 less than the lowest one in the table:
y = -8 -18 = -26
The (x, y) coordinates of the y-intercept are (0, -26).
Answer:
8
Step-by-step explanation:
This one is similar to the other one done with graphs , the only difference is we have equations instead of graphs.
Like the other one, we want to find f(2) and whatever that equals we plug into g(x) to find g(f(2))
So first lets find f(2)
f(x) = x - 4
f(2) = 2 - 4
f(2) = -2
g(f(2)) , f(2) = -2 , g(-2)
now lets find g(-2)
g(x) = -2x + 4
g(-2) = -2(-2) + 4
multiply -2 and -2 to get 4
g(-2) = 4 + 4
add 4 and 4 to get 8
g(-2) = 8
We can conclude that g(f(2)) = 8
You would find the probability of getting an answer less than 10 by counting all of the possible outcomes, or numbers that are less than 10 and compare them to the total number of possible outcomes, or the total number of numbers. You would write the ratio of predicted outcomes to total possibilities.
The answer would be 4/9.
The way to find the area of a triangle is A=
if the base is 3 feet longer then the height we can write it like this B=H+3
now we can add it to our area equation
20=
20=
40=
+3H
10
=
h=3.2ft
Triangles ABC and LBM are similar. We know this because AL and LB have the same length, so that AB is twice as long as either AL or LB. The same goes for MC and BM, and BC. The angle B is the same for both tirangles ABC and LBM, so the side-angle-side postulate tells us the triangles are similar, and in particular that triangle ABC is twice as large as LBM.
All this to say that LM must be half as long as AC, so LM has length (B) 14 cm.
