Answer: Option C.
Step-by-step explanation:
The coordinates (x,y) of a terminal point for an angle θ are:
x = cos(θ) and y = sin(θ).
In this case, we have θ = 330°.
Then we have:
x = cos(330°) = 0.866 = (√3)/2
y = sin(330°) = -0.5 = -1/2
then the coordinates of the terminal point are ((√3)/2, -1/2)
Then the correct option is c.
Answer:
Vertex is (-4, -18)
Step-by-step explanation:
f(x) = 
Let (h, k) be the vertex
An easy way to find h is to use the formula h = -b/2a
In your case where f(x) =
a = 2 and b = 8
So, h = -8/2(1) = -8/2 = -4
Substitue -4 in for x to find k
k = (
) + 8(-4) - 2
= (16) - 32 - 2
= 16 - 32 - 2
= -18
Vertex is (-4, -18)
Note: Another way to find the vertex is to complete the square, but this can really be difficult in some cases
Answer:
Kindly check explanation
Step-by-step explanation:
Given the question :
Jane evaluates x squared minus 3 x + 5 for x = negative 2 below. Step 1: (negative 2) squared minus 3 (negative 2) + 5 Step 2: Equals negative 4 + 6 + 5 Step 3: Equals 7 What, if any, was Jane's mistake?
Jane's evaluation :
x² - 3x + 5 for x = - 2
Step 1:
(-2)² - 3(-2) + 5
Step 2:
-4 + 6 + 5
Step 3 :
= 7
Jane's mistake was in STEP2,
evaluating (-2)² = 4 and not - 4
Hence, (-2)² - 3(-2) + 5
= 4 + 6 + 5
= 15
81.
Add them all and then divide by the number of days (by 5)
Answer:
314 cm²
Step-by-step explanation:
To find the area of a circle, use the formula A = πr² by substituting r = 10.
A = πr² = π10² = 314 cm²