Answer:
The correct answer is option 3.
Step-by-step explanation:
Given : ΔPQR, QM is altitude of the triangle
PM = 8
MR = 18
To find = QM
Solution :
PR = 8 + 18 = 26
Let, PQ = x , QR = y, QM = z
Applying Pythagoras Theorem in ΔPQR

..[1]
Applying Pythagoras Theorem in ΔPQM

..[2]
Applying Pythagoras Theorem in ΔQMR

..[3]
Putting values of
and
from [2] and [3 in [1].




z = ±12
z = 12 = QM ( ignoring negative value)
The length of QM is 12.
Answer:
Explanation:
We can factor the numerator and denominator as;
(
x
−
2
)
(
x
−
1
)
2
x
(
x
−
1
)
We can now cancel common term in the numerator and denominator:
(
x
−
2
)
(
x
−
1
)
2
x
(
x
−
1
)
⇒
x
−
2
2
x
However, we cannot divide by
0
so we must exclude:
2
x
=
0
⇒
x
=
0
and
x
−
1
=
0
⇒
x
1
x
2
−
3
x
+
2
2
x
2
−
2
x
=
x
−
2
2
x
Where:
x
≠
0
and
x
≠
1
Or
x
2
−
3
x
+
2
2
x
2
−
2
x
=
x
2
x
−
2
2
x
=
1
2
−
1
x
Where:
x
≠
0
and
x
≠
1
Step-by-step explanation:
You first need to isolate the y
4x+9y=-108
9y=-4x-108 (subtract 4x from both sides)
y=-4/9x-12 (divide both sides by 9)
Then, by using the y=mx+b form, we can tell that the y-intercept is -12 so A
Hope this helps