Yes, you can determine whether a system of linear equations has a solution just by looking at the graph of the equations.
I am not sure what you are needing help with though, since I cannot see the drop down options.
Answer:
(2,0) - x -intercept
(0, 1.5) - y-intercept
Step-by-step explanation:
The slope of the points can be found by writing a ratio of vertical change to horizontal change. It can be found in the table by subtracting y values from each other and subtracting x values from each other. The y values decrease by 3 each time or -6 - -3 = -6 + 3 = -3.
The x values increase by 4.
So the rate of change is -3/4.
This means if you go backwards on the table the previous point would be (2, 0). This is the x-intercept.
To find the y-intercept, you must go further back. Going back 2 more units would make the table appear as:
x y
-2 3
0 ???
2 0
6 -3
10 -6
14 -9
Since the y values decrease by 3 each time and we went back half the usual amount, then the value would be 1.5.
Answer:
16
Step-by-step explanation:
The perpendicular diameter to the chord divides it into two congruent parts.
Since
we have that XT=TS.
Hence,
3b-1=b+5,
3b-b=5+1,
2b=6,
b=3.
So,
XT=3·3-1=9-1=8
TS=3+5=8
and
XS=XT+TS=8+8=16.
Answer:
Two straight lines with slopes m and m' are parallel when m = m'
Two straight lines with slopes m and m' are perpendicular when m × m' = - 1.
Step-by-step explanation:
Let us assume that the two non-vertical lines in the slope-intercept form are
y = mx + c ........... (1) and
y = m'x + c' ............ (2)
If those two lines are parallel then we can say the slope of them will be the same i.e. m = m'
Now, if given two straight lines (1) and (2) are perpendicular to each other and neither of them is parallel to the axes, then we can write m × m' = - 1. (Answer)
