The sine of one acute angle is equal to the cosine of another when their sum is 90°.
.. (2β +10°) +(3β -25°) = 90°
.. 5β -15° = 90°
.. 5β = 105°
.. β = 21°
Then your equation becomes
.. sin(52°) = cos(38°)
Answer:
C. ( x - 4 ) ( x - 5 )
Step-by-step explanation:
Answer:
(y+5)²
Step-by-step explanation:
Every perfect square trinomial, completes the rule:
(a+b)²=(a²+2ab+b²)
Let's complete the PST:
(a) would be the square root of y², which is y.
(b) would be a number that multiplied by 2y gives us 10y, which is 5.
Our perfect square trinomial is y²+10y+25
Finally, using the mentioned rule, the binomial square for that equation is (y+5)²
Answer: x=-4
Step-by-step explanation:
Answer:
Step-by-step explanation:
y=2(x-8)(x+2)
The x intercepts occur when y=0, so when x=8 and -2
The vertex is where the equation is at a minimum/maximum in this case (x,y)=(3,-50)
The axis of symmetry occurs between the two roots, 8 and -2 which x=3
The y intercept is the value of y when x=0, in this case (0, -32)
