2x=16-2y
x=8-y
6(8-y)+4y=38
48-6y+4y=38
48-2y=38
-2y=-10
y=5
8-5=x
x=3 <-Answer
Answer: 23
Step-by-step explanation:
2x + 14 = 60
2x = 46
x = 23
Answer:
The hypotenuse of the triangle measures 13 inches.
Step-by-step explanation:
Since the Pythagorean theorem states that in any right triangle the lengths of the three sides are related by the equation A ^ 2 + B ^ 2 = C ^ 2, to determine the length of the hypotenuse in a right thangle with legs 5 inches and 12 inches the following calculation should be performed:
5 ^ 2 + 12 ^ 2 = X ^ 2
25 + 144 = X ^ 2
√169 = X
13 = X
Therefore, the hypotenuse of the triangle measures 13 inches.
So if 1 person shakes the other 179 people in the meeting then you would multiply 180 times 179 which would equal 32,220 handshakes
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.