Answer:
n = -12
Step-by-step explanation:
plug -12 in for n and its -2 x -12 which equals 24
<u>Answer:</u>
csc = 5/4
<u>Step-by-step explanation:</u>
Assuming that the two given points 3/5 and 4/5 are the two sides of a triangle and a right angle 0 with legs x and y and z as its hypotenuse.
Then using Pythagoras Theorem:
Taking square root on both the sides:
Now, 
and we know that 
Therefore, csc = 5/4.
Answer:
10. 7n - 1 < -8
Isolate the variable, n. Do the opposite of PEMDAS. Treat the < as equal sign, what you do to one side, you do to the other. First, add 1 to both sides:
7n - 1 (+1) < - 8 (+1)
7n < - 8 + 1
7n < - 7
Isolate the variable, n. Divide 7 from both sides:
(7n)/7 < (-7)/7
n < -7/7
n < -1
n < -1 is your answer.
11. 3 > -7v + 4v
Combine like terms, then isolate the variable, v. First, add -7v and 4v together.
3 > (-7v + 4v)
3 > (4v - 7v)
3 > (-3v)
Isolate the variable, v. Divide -3 from both sides. Note that since you are dividing a negative number, you must flip the sign:
(3)/-3 > (-3v)/-3
3/-3 > v
-1 < v
v > -1 is your answer.
~
Answer:
7^(1-3+1) = 7^-3
Step-by-step explanation:
Here is the rule you should know: when multiplying powers of the same base you add the exponents ans when dividing powers of the same base you subtract the exponents.
Also, if there is no number at the exponent, it is 1.
