How many solutions does the system have, and why?
1 answer:
Answer:
C. there are no solutions because the slopes are the same and the y-intercepts are different.
step-by-step explanation:
y = 2/3x - 6
3y - 2x = 9
y = 0
3(0) - 2x = 9
-2x = 9
/-2 /-2
x = -9/2 = -4.5
x = 0
3y - 2(0) = 9
3y = 9
/3 /3
y = 3
(-4.5, 3)
slope 2/3
y-intercept (0, 3)
there are no solutions because the slopes are the same and the y-intercepts are different
C. there are no solutions because the slopes are the same and the y-intercepts are different.
step-by-step explanation:
y = 2/3x - 6
3y - 2x = 9
y = 0
3(0) - 2x = 9
-2x = 9
/-2 /-2
x = -9/2 = -4.5
x = 0
3y - 2(0) = 9
3y = 9
/3 /3
y = 3
(-4.5, 3)
slope 2/3
y-intercept (0, 3)
there are no solutions because the slopes are the same and the y-intercepts are different
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Answer:
In triangle SHD and triangle STD.
[Side]
Since, a line is said to be perpendicular to another line if the two lines intersect at a right angle.
⇒
[leg] [Given]
Reflexive property states that the value is equal to itself.
[Leg] [Reflexive property]
HL(Hypotenuse-leg) theorem states that any two right triangles that have a congruent hypotenuse and a corresponding congruent leg are the congruent triangles.
then, by HL theorem;
Proved!
