Answer:
Hence, the following equations, when graphed, intersect at the point (4, 0):
x - y = 4 (1)
x + y = 4 (4)
Step-by-step explanation:
<em>" For the graph to intersect at the point (4,0) we mean that when y=0 , x must be equal to 4 or we could say that when x=4 then y=0".</em>
1)
x-y=4
now when y=0 then x=4.
Hence, the graph intersect at the point (4,0).
2)
-x-y=4
When y=0 in the equation then x=-4, Hence the point (4,0) does not lie on the graph of the given function.
3)
2x-y=7
When y=0 then x=7/2.
Hence the graph of the function does not intersect at the point (4,0).
4)
x+y=4
When y=0 then x=4.
Hence the graph of the given function intersect at (4,0).
5)
2x + y = 7
When y=0 then x=7/2.
Hence the graph of the function does not intersect at the point (4,0).
6)
2x + y = -7
When y=0 then x= -7/2.
Hence the graph of the function does not intersect at the point (4,0).
Both of these problems will be solved in a similar way, but with different numbers. First, we set up an equation with the values given. Then, we solve. Lastly, we plug into the original expressions to solve for the angles.
[23] ABD = 42°, DBC = 35°
(4x - 2) + (3x + 2) = 77°
4x+ 3x + 2 - 2 = 77°
4x+ 3x= 77°
7x= 77°
x= 11°
-
ABD = (4x - 2) = (4(11°) - 2) = 44° - 2 = 42°
DBC = (3x + 2) = (3(11°) + 2) = 33° + 2 = 35°
[24] ABD = 62°, DBC = 78°
(4x - 8) + (4x + 8) = 140°
4x + 4x + 8 - 8 = 140°
4x + 4x = 140°
8x = 140°
8x = 140°
x = 17.5°
-
ABD = (4x - 8) = (4(17.5°) - 8) = 70° - 8° = 62°
DBC =(4x + 8) = (4(17.5°) + 8) = 70° + 8° = 78°
Answer:
d = 25t
Step-by-step explanation:
pick tow points on the line, the easier for me is (0,0) and (2,50). The equation options are given in slope intercept form such as y = mx + b; where m is the slope and be is where the line intercepts the y-axis. We can see that "b" is zero because the line intercepts the y-axis at 0 (b = 0).
to find the slope you use the two points for the m
m = = = 25 is the slope
Therefore the equation should d = 25t
5 times 2 is 10
4 dollars for greens
2 times 6 is 12
10 +4 +12 is 26 dollars
If all need to have a common denominator;
1/2 = 6/12
3/4 = 9/12
4/6 = 8/12