Answer:

Step-by-step explanation:
Instead, since the divisor is in the form of
, use what is called Synthetic Division. Remember, in this formula,
gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
4| 1 −5 7 −12
↓ 4 −4 12
_______________
1 −1 3 0 → 
You start by placing the
in the top left corner, then list all the coefficients of your dividend [x³ - 5x² + 7x - 12]. You bring down the original term closest to
then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an
, the −1 [
] follows right behind it, and bringing up the rear, comes the 3, giving you the quotient of
.
I am joyous to assist you anytime.
Answer:

Step-by-step explanation:
we know that
The formula of law of cosines is equal to

where
a, b and c are sides. C is the angle opposite side c
In this problem we have

substitute the given values






Answer:
Number of coupons sent to Existing members = 33
Step-by-step explanation:
Number of coupons sent out = 231
Let :
6 times as many to potential members = 6 * X = 6X
while existing members = X
therefore 6X + X = 231
7X = 231
therefore X = 231 / 7 = 33
so existing members = 33
while potential members = 6 * 33 = 198
Answer:
The answer is 4/9
Step-by-step explanation:
Hi. Here's the work.
First turn everything into an improper fraction.
÷
=
÷ 
To divide fractions we multiply by the flipped version of the fraction, or the reciprocal.
÷
= 
Now we just multiply the fractions!
= 
The answer is therefore 4/9. Please mark brainliest if possible and i hope you get a good grade on your homework. ;)