In function notation (f(x)=mx+b) m represents the slope and b represents the y-intercept.
In a straight horizontal line the slope is always 0. This cancels out the 'x' factor so you get f(x)=b.
To find b you simply look at where the line crosses the y-axis. in this case it crosses at 2.
When you plug in the y-intercept you get f(x)=2
9514 1404 393
Answer:
(b) 48
Step-by-step explanation:
In this geometry, the altitude (x) is the root of the product of the segments of the hypotenuse.
x = √(36·64) = √36×√64 = 6×8
x = 48
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All of the triangles are similar, so the ratios of corresponding sides are the same.
short side/long side = x/64 = 36/x
x^2 = (64)(36) . . . . as above
Answer:
(4,3)
Step-by-step explanation:
Given
x^2+y^2=25
x-y^2=-5
In order to solve the equations, from equation 2 we get
-y^2= -5-x
y^2=5+x
Putting the value of y^2 in equation 1
x^2+5+x=25
x^2+5-25+x=0
x^2+x-20=0
x^2+5x-4x-20= 0
x(x+5)-4(x+5)=0
(x+5)(x-4)=0
So
x+5=0 x-4=0
x=-5 x=4
Now for x=-5
x^2+y^2=25
(-5)^2+y^2=25
25+y^2=25
y^2=25-25
y^2=0
so Y=0
And for x = 4
x^2+y^2=25
(4)^2+y^2=25
16+y^2=25
y^2=25-16
y^2=9
y= ±3
So the solution to the system of equations is
(-5,0) , (4,3), (4,-3)
The only solution that belongs to first quadrant is (4,3)
The ratio of group 1 to group 2 to total is 4:7:11.
4:7:11= x:y:33
11*3=33
Multiply the other numbers by 3 to get the answers for x and y.
x= 4*3=12
y= 7*3=21
Final answer: Group One-12, Group Two-21
Answer:
B. The total price depends on the number of crates
Step-by-step explanation:
We can immediately rule out C & A because the two factors in the graph are crates and total price. So both the number of crates and total price will be part of our answer, but pumpkins aren't shown on the graph at all.
This leaves us with B & D. Using common sense we know that the number of crates isn't going to change if the total cost changes but rather the total cost will change depending on how many crates you buy.
I hope that helps u understand & answers ur question! (If u have a question about anything I just said lmk and I'll be glad to tell u what I mean)
Good luck! :)
