Answer:
I think it's 375 sorry if it's not
Step-by-step explanation:
Go to 0, and from the right start counting to twelve, each line is a number so count to 12 and put your dot on 12.
Answer:
1.8 bags
Step-by-step explanation:
you just divide 9 by 5
Step-by-step explanation:
Find the values of x and y to determine how many solutions.
Use the elimination method. Add both of the equations.
<u>Sum:</u>
<u />![3y=-1](https://tex.z-dn.net/?f=3y%3D-1)
<u>Divide each side by 3:</u>
<u />![\boxed{y=-\frac{1}{3}}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D-%5Cfrac%7B1%7D%7B3%7D%7D)
<u />
<u>Substitute y = -(1/3) into the first equation:</u>
<u />![-5x+6(-\frac{1}{3})=-2](https://tex.z-dn.net/?f=-5x%2B6%28-%5Cfrac%7B1%7D%7B3%7D%29%3D-2)
<u>Multiply:</u>
<u />![-5x-2=-2](https://tex.z-dn.net/?f=-5x-2%3D-2)
<u>Add 2 to both sides:</u>
-5x = 0
We can determine:
![\boxed{x=0}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%3D0%7D)
(0, -1/3)
The system of equations have 1 solution.
<u />
Answer:
y = 2x + 1 ;
y - 3 = - 3(x - 1) ; y = - 3x + 6 ;
Step-by-step explanation:
Given the data:
Sidewalk 1:
x __ y
2 _ 5
0 _ 1
Sidewalk 2:
x __ y
1 _ 3
3 _ -3
Equation for sidewalk 1 in slope - intercept form:
Slope intercept form:
y = mx + c
c = intercept ; m = slope
m = (change in y / change in x)
m = (1 - 5) / (0 - 2) = - 4 / - 2 = 2
Y intercept ; value of y when x = 0
(0, 1) ; y = 1
Hence, c = 1
y = 2x + 1
Sidewalk 2:
Point slope form:
y - y1 = m(x - x1)
m = slope
m = = (-3 - 3) / (3 - 1) = - 6/2 = - 3
Point (x1, y1) = (1, 3)
y - 3 = - 3(x - 1)
To slope intercept form:
y - 3 = - 3(x - 1)
y - 3 = - 3x + 3
y = - 3x + 3 + 3
y = - 3x + 6
Since the slope of both lines are different, intersection will be at single point and will have a single solution. This makes it independent.
Using substitution method :
y = 2x + 1 - - - (1)
y = - 3x + 6 - - - (2)
Substitute (1) into (2)
2x + 1 = - 3x + 6
2x + 3x = 6 - 1
5x = 5
x = 1
From (1)
y = 2(1) + 1
y = 2 + 1
y = 3
Coordinate of the point of intersection = (1, 3)