2(x + 1) - 3x = 0
2x + 2 - 3x = 0
-x + 2 = 0
-x = -2
Divide -1 on both sides
x = 2
Answer:
Below.
Step-by-step explanation:
I'll write sin x as s and cos x as c so we have:
(1 + s +c)/(1 + s - c) = (1 + c)/s
Cross multiplying:
s + s^2 + cs = 1 + s - c + c + cs - c^2
s + s^2 + cs = 1 + s + cs - c^2
s^2 + c^2 + s - s + cs - cs = 1
s^2 + c^2 = 1.
- that is sin^2 x + cos^2 x = 1 which is a known identity.
Therefore the original identity is proved.
Answer:
Step 1) Divide
Step 2) Add
Step-by-step explanation:
Following BODMAS, i would first dividw 14 and 7, then divide 36 and 4.
The resulting expression is 2+9,
I would then add them and find 11
Answer:
It must be longer than the original segment.
Step-by-step explanation:
Let analyse all the 4 answers:
- a. It divides the original segment into two equal pieces.
Yes because It finds the midpoint of the given line segment.
- b. Every point on the perpendicular bisector is the same distance from both end points of the segment.
Yes, because perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the segment's both endpoints.
- c. It must be longer than the original segment
Wrong, it can be shorter or equal to the original segment.
- d. It is perpendicular to (makes a 90 angle with) the original segment
True, because of it is one of the the properties of a perpendicular bisector of a segment
So we choose C.
Hope it will find you well.
