Answer:
y = 1/2x - 3
Step-by-step explanation:
The line intercepts with the y-axis at -3 and its pattern is going right two and up one.
So you have to first put put the equation in slope-intercept form.
-3x+4y=4
+3x +3x
_______________
4y=4+3x
then you divide 4 by 4 and then divide 3x by 4 and you should get y=1+3/4x
then you plug in x and only x so that you can find y and then do the same once you find y
y=1+ (4)3/4
y= 1+3
y=4
then plug in y and solve for x
4= 1+ 3/4x
subtract 1 from both sides
3=3/4x
divide both sides by 3/4
and x=4
so then you find b and put it all in a equation.
Exterior angle theorem
16x - 7 = 8x + 2 + 10x - 19 ===> 16x -7 = 18x - 17
16x - 16x - 7 = 18x - 16x - 17 ===> -7 = 2x - 17
-7 + 17 = 2x - 17 + 17 ===> 10 = 2x ======> 5 = x
Plug x in to each equation.
Angle P: 8(5) + 2 = 42 deg, Angle Q: 10(5) - 19 = 31
The sum of interior angles = 180. 180 - 42 -31 = 107 deg (angle of PRQ)
To check that line other angle : 16(5) -7 = 73 deg + 107 = 180 deg
Answer:
three equivalent ratios will be
6:22 , 9:33, 15:55
I am assuming the 32 cases contain the small cans...
32 cases...with 28 small cans of fruit in each case..
32 * 28 = 896 small cans of fruit in total
24 cases...with 13 large cans of fruit in each case...
24 * 13 = 312 large cans of fruit in total
so there are (896 - 312) = 584 more small cans then large cans <==
