Answer:
48
Step-by-step explanation:
you add 12 to y side and 2 to the x side
Answer:
what does con sum mean they are the last two words in your question
Step-by-step explanation:
Answer:
The positions of the vertex and the axis of symmetry change.
Step-by-step explanation:
Let’s examine three parabolas in which a and c remain constant and only b changes.
(1) y = x² - 2x + 1
(2) y = x² + 1
(3) y = x² + 2x + 1
In the image below,
Equation (1) is the black parabola, Equation (2) is green, and Equation (3) is red.
When b is more negative, the vertex moves down, and the axis of symmetry moves to the right.
When b is more positive, the vertex moves down, and the axis of symmetry moves to the left.
Answer:
cos2θ = -0.7041
Cos θ = -0.3847
Step-by-step explanation:
Firstly, we should understand that since θ is in quadrant 2, the value of our cosine will be negative. Only the sine is positive in quadrant 2.
Now the sine of an angle refers to the ratio of the opposite to the adjacent. And since there are three sides to a triangle, we need to find the third side which is the adjacent so that we will be able to evaluate the cosine of the angle.
What to use here is the Pythagoras’ theorem which states that the square of the hypotenuse is equal to the sum of the squares of the adjacent and the opposite.
Since Sine = opposite/hypotenuse, this means that the opposite is 12 and the hypnotist 13
Thus the adjacent let’s say d can be calculated as follows
13^2 = 12^2 + d^2
169 = 144 + d^2
d^2 = 169-144
d^2 = 25
d = √25 = ±5
Since we are on the second quadrant, the value of our adjacent is -5 since the x-coordinate on the second quadrant is negative.(negative x - axis)
The value of cos θ = Adjacent/hypotenuse = -5/13
Cos θ = -5/13
Cos θ = -0.3846
Using trigonometric formulas;
Cos 2θ = cos (θ + θ) = cos θ cos θ - sin θ sin
θ = cos^2 θ - sin^2 θ
Cos 2θ = (-5/13)^2 - (12/13)^2
Cos 2θ = 25/169 - 144/169
Cos 2θ = (25-144)/169 = -119/169
Cos 2θ = -0.7041
Answer:
the answer is 126.5
Step-by-step explanation:
