maby it is :) (A) hope you do well
Answer:
√3/2 or 0.866
Step-by-step explanation:
Use special triangles. (See attachment)
The cosine ratio is adjacent ÷ hypotenuse.
cos30° = √3 ÷ 2 = √3/2
As a decimal, cos30° ≈ 0.866
Remember all the primary trig ratios with the acronym SohCahToa.
"o" = opposite
"a" = adjacent
"h" = hypotenuse
S, C and T are sin, cos, tan
Answer:
x = 2
Step-by-step explanation:
24 - 7x = 10
Rearrange terms,
-7x + 24 = 10
Subtract 24 from both sides,
-7x + 24 - 24 = 10 - 24
-7x = 10 - 24
-7x = -14
Divide by sides by -7,
x = 2
Answer: Choice D
y = -(x - 2)^2 + 7
===========================================================
Explanation:
The highest point is (2, 7) so this is the vertex.
In general, the vertex is (h, k). We can say that h = 2 and k = 7.
The vertex form
y = a(x-h)^2 + k
updates to
y = a(x-2)^2 + 7
----------------
Note that the graph goes through (0,3) which is the y intercept. Plug those x,y coordinates into the equation above to solve for 'a'
y = a(x-2)^2 + 7
3 = a(0-2)^2 + 7
3 = a(-2)^2 + 7
3 = a(4) + 7
3 = 4a + 7
4a+7 = 3
4a = 3-7
4a = -4
a = -4/4
a = -1
----------------
Therefore, we have
y = a(x-2)^2 + 7
update to
y = -1(x-2)^2 + 7
which is the same as
y = -(x - 2)^2 + 7
and that's why the answer is choice D
For this equation, all we have to do is substitute 5 in for "n" as we want to find the 5th term in the sequence.
3(n-3)
3(5-3)
3(2)
6
The 5th term in the sequence is 6.
