Answer:
This is trigonomentry
Use SOHCAHTOA
where :
s is sin
c is cos
t is tan
o is opposite (side)
h is hypotenuse (opposite of 90 degree angle)
and a is adjacent (side)
Sin = o/h
cos = a/h
tan = o/a
in this case we are looking for side BC which is the hypotenuse(h)
and we have the side adjacent(a) to angle 71
since we have a and h determine what to use SIN, COS, OR TAN?
we should use Cos
they‘ve given the angle so we should do this...
Cos71 = 
Cos71 = 
now apply algebra...
6.3/cos71= BC
BC= 19.3507869666
BC = 19.4 (3SF)
Answer:
3(x - 5)(x + 1).
Step-by-step explanation:
3x^2 - 12x - 15
Dividing through by 3:
= 3(x^2 - 4x - 5)
We need 2 numbers whose sum is -4 and whose product = -5. That is -5 and +1 , so the factors are:
3(x - 5)(x + 1).
Exact form : 4/13
decimal form : .0.307692
Answer:
which pair of numbers has a product of ac and a sum of b
ac = (-5)(-3)
sum = -8
x^2 - 5x - 3x + 15
x(x-5)-3(x-5)
(x-3) (x-5)
x=3 x=5
what is the factored form of the trinomial = (x - 3) (x - 5)
2. Factor the following:
x^2 - 8 x + 15
The factors of 15 that sum to -8 are -3 and -5. So, x^2 - 8 x + 15 = (x - 3) (x - 5):
Answer: (x - 3) (x - 5)
Step-by-step explanation:
Copy down the given function:
f(x)=3•2^x
Now replace both instances of x with -2:
f(-2) = 3*2^(-2). 1
Recall that 2^(-2) is the same as ------ = 1/4
2^2
Therefore, f(-2) = 3*2^(-2) = 3*(1/4) = 3/4
Remember that exponentiation has to be carried out before multiplication. That's why I did 2^(-2) before multiplying by 3.
