Draw a right triangle with horizontal base length 2, vertical length 3.
Use pythagorean thm to find length of hypotenuse:
Now use SOH CAH TOA to find correct trig ratios:
The opposite side is always the vertical side ----> 3
The adjacent side is always the horizontal side ---> 2
SOH ---> sin = opp/hyp
CAH ----> cos = adj/hyp
TOA -----> tan = opp/adj
Point slope form: y1-y2=m(x1-x2)
Given the slope -4 and the set of coordinates (4,-9),
y+9=-4(x-4)
I plugged in the slope and coordinates. Since -9 came after a subtraction sign, I corrected the subtraction to addition, leaving the above point slope form equation.
I hope this helps :)
Answer:
x= 16
Step-by-step explanation:
Triangle BAD is a right triangle, meaning the other angles are 45
Answer:
The sequence diverges.
Step-by-step explanation:
A sequence converges when is a real number.
In this question, the sequence given is:
The cosine is always going to be between -1 and 1, so for the convergence of the sequence, we look it as: . So
Since the limit is not a real number, the sequence diverges.
Answer:
a = -1
Step-by-step explanation:
The line of symmetry for the parabola given by ...
y = ax² +bx +c
is
x = -b/(2a)
Using the given values, we have ...
-2 = -(-4)/(2a)
Multiplying by -a/2, we get ...
a = (4/2)(-1/2) = -1
The value of "a" is -1.