Answer:
48°
Step-by-step explanation:
Given the trigonometry equation
sin(52)= cos(5x-2)...1
According to the quadrant:
Sin(θ) = cos(90-θ)
Sin52 = cos(90-52)
Sin52 = cos48... 2
Substituting 2 into 1:
Cos48 = cos(5x-2)
48 = 5x-2
5x = 48+2
5x = 50
x = 10°
The smallest of the angle will be angle 5x-2 = 5(10)-2
= 50-2
= 48°
y = -x + 5
5x + 2y = 14
5x + 2(-x + 5) = 14
5x + 2(-x) + 2(5) = 14
5x - 2x + 10 = 14
3x + 10 = 14
- 10 - 10
3x = 4
3 3
x = 1¹/₃
y = -x + 5
y = -1¹/₃ + 5
y = 3²/₃
(x, y) = (-1¹/₂, 3²/₃)
Answer:
Step-by-step explanation:
y=-3+7
Answer:
Point B must be at the same distance from the the origin as point A.
Step-by-step explanation:
Coordinates of point A = (3, 3)
When point A is rotated 90° counterclockwise around the origin, coordinates of the new point B will be (-3, 3)
Distance from origin to point A = 
Similarly, distance of point B from the origin = 
Therefore, distances of both the points from the origin are same.
Point B must be at the same distance from the the origin as point A.
Answer:
The correct option is 1.
Step-by-step explanation:
If a quadratic equation is defined as
.... (1)
Then the sum of the roots is -b/a and the product of roots is c/a.
The given equation is
... (2)
From (1) and (2) we get a=3, b=11 and c=-4.
The sum of roots is

The sum of roots is
.
Therefore the correct option is 1.