Answer:
so is that all it says, if its not thats not a question because its already answered
Step-by-step explanation:
Answer:
(n + 1)(3n + 7)
Step-by-step explanation:
3n² + 10n + 7
Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.
product = 3 × 7 = 21 and sum = + 10
The factors are + 3 and + 7
Use these factors to split the n- term
3n² + 3n + 7n + 7 ( factor the first/second and third/fourth terms )
3n(n + 1) + 7(n + 1) ← factor out (n + 1) from each term
= (n + 1)(3n + 7) ← in factored form
sin x = cos 54 = sin (90-54) = sin 46
Hence x = 46 deg
Same technique. Sin 21 = cos (5x+9) = sin (90-5x-9)
81-5x = 21
Or 5x = 60
Or x = 12 deg
hope it helps
Hi there!
When two lines intersect, we know that the ones on the opposite sides are equal to one another. Thus, we know that the angle opposite of the one marked with 90 degrees (on the other side of the intersection) is also 90 degrees.
We know that a full turn is 360 degrees. We can see that the two 90 degrees make up part of the turn, and the other pair of angles, both of which are equal to x (as per the reasoning above), make up the rest. We know that the two 90 degrees, added together, is equal to 180 degrees. This means, after subtracting 180 from 360, that 180 degrees are remaining that aren't the 2 90 degrees, and are make up of two angles both measuring x degrees.
As we know that they both measure x, then we know that we say 2x = 180, which gives us x = 90.
Hope this helps!
Answer: 
<u>Step-by-step explanation:</u>
y = A cos (Bx - C) + D
- A (amplitude) = max - D
- B = Period/2π ---> Period is the distance from max to next max
- C = B · Phase Shift ---> Phase shift is distance from y-axis to max
- D (vertical shift) = (max + min)/2
D = (max + min)/2 = (3 - 11)/3 = -4
A = max - D = 3 - (-4) = 7
Period = 9π/4 - π/4 = 8π/4 = 2π
B = Period/2π = 2π/2π = 1
Phase Shift = π/4 - 0 = π/4
C = B · Phase Shift = 1 · π/4 = π/4
Equation:
y = 7 cos (1·x - π/4) + (-4)
