Step-by-step explanation:
sin(2x) + cos(3x)
Use double angle formula sin(2x) = 2 sin x cos x.
Use triple angle formula cos(3x) = 4 cos³x − 3 cos x.
Substitute:
2 sin x cos x + 4 cos³x − 3 cos x
Answer:
4. A 5. B
Step-by-step explanation:
A hypothesis is an educated guess. When you write a report you should use an if, then statement.
An observation is a fact, not an opinion.
Answer:
let angle e be x
x+4x+10=180°[by linear pair]
5x+10=180°
5x=180-10
5x=170
x=170/5
x=34
angle E=34°
angle E+angle C+angle D=180°[by angle sum property]
34°+70°+2x=180°
104°+2x=180°
2x=180°-104
2x=76°
angle d=76°
Given:
The point
divides the line segment joining points
and
.
To find:
The ratio in which he point P divides the segment AB.
Solution:
Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

Let point P divides the segment AB in m:n. Then by using the section formula, we get


On comparing both sides, we get


Multiply both sides by 4.




It can be written as


Therefore, the point P divides the line segment AB in 1:5.
(x - 3)^2
(x - 3) * (x - 3)
x^2 - 3x
+ -3x + 9
x^2 - 6x + 9