Answer:
2nd quadrant.
Step-by-step explanation:
Answer: 5:40 am
Step-by-step explanation:
The train reached the station at 9:15 am after having travelled for 3 hrs 35 minutes.
The time the train departed from Riya's hometown was the time it arrived in Mumbai station less the time taken to travel:
= 9:15 - 3:35
First deduct the 3 hours:
= 9:15 - 3
= 6 : 15 am
Remove the 35 minutes by first removing the 15 minutes
= 6:15 - 15
= 6:00 am
Then remove the rest of the 35 minutes which is 20 minutes:
= 6:00 - 20 minutes
= 5:40 am
Answer:
, you must find the midpoint of the segment, the formula for which is
(
x
1
+
x
2
2
,
y
1
+
y
2
2
)
. This gives
(
−
5
,
3
)
as the midpoint. This is the point at which the segment will be bisected.
Next, since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula
y
2
−
y
1
x
2
−
x
1
, which gives us a slope of
5
.
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of
5
is
−
1
5
.
We now know that the perpendicular travels through the point
(
−
5
,
3
)
and has a slope of
−
1
5
.
Solve for the unknown
b
in
y
=
m
x
+
b
.
3
=
−
1
5
(
−
5
)
+
b
⇒
3
=
1
+
b
⇒
2
=
b
Therefore, the equation of the perpendicular bisector is
y
=
−
1
5
x
+
2
.
Answer:
Discriminant = -24
No real roots.
Step-by-step explanation:
x^2 + 2x + 7 = 0
The discriminant = b^2 - 4ac
= 2^2 - 4*1*7
= -24
So there are no real roots.
The answer is B, 4(x-5)(x+3)
