Given:
An angle θ on the unit circle has a sine of .
To find:
The value of cosθ.
Solution:
We have,
Since sinθ is positive, therefore, θ lies in first or second quadrant.
We know that,
Taking square root on both sides.
Therefore, the value of cosθ is either or .
To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate
X^2+6x+9=0
(x+3)(x+3)=0
x=-3 There is only one unique way.
Answer:
The table is attached as a figure
The given equation is ⇒⇒⇒⇒ y = 2x
To solve this equation, we need to pick numbers from the table then this number will be substituted into the equation to find y
we need 3 solutions . so, we need to pick 3 numbers of x
From the table, let us choose x = 0
y = 2x
y = 2 * (0)
y = 0
From the table, let choose second value of x such as x = 1
y = 2 * (1)
y = 2
From the table, let choose third value of x such as x = -1
y = 2 * (-1)
y = -2
So, the picked three solutions are
y = 0 at x = 0
y = -2 at x = -1
y = 2 at x = 1
Answer:
(8, 5)
Step-by-step explanation:
Let's take a look at the y-intercept, (0, 5). If the axis of symmetry is x = 4, then the distance from (0, 5) is 4 units. If we reflect this point (0, 5) about the axis of symmetry x = 4, the resulting point is (8, 5). In other words, the distance from the y-intercept to the axis of symmetry is 4 units, and so the distance from the y-intercept must be 4 units plus 4 units, or 8 units.
The only answer choice that matches this is the second one: (8, 5).