Answer: a) x = 5 or -1 b) x = √3+2
c) x = -1/2 or -3/2
Step-by-step explanation:
a) (x − 2)² = 9
First step is to take the square root of both sides to eliminate the square
√ (x − 2)² = √9
x-2 = +-3
x = +3+2
x = 5 and;
x = -3+2
x = -1
x = 5 or -1
b) 3(x-2)² = 9
First we divide both sides by 3 to get;
(x-2)² = 9/3
(x-2)² = 3
Second step is to take the square root of both sides to eliminate the square
√(x-2)² = √3
x-2 = √3
x = √3+2
c) 6 = 24(x+1)²
Dividing both sides by 24, we have
6/24 = (x+1)²
1/4 = (x+1)²
Taking the square root of both sides we have
√1/4 = √(x+1)²
= +-1/2 = x+1
x = +1/2-1 = -1/2 and;
x = -1/2-1 = -3/2
x = -1/2 or -3/2
Answer:
y = 1/2x
Step-by-step explanation:
The slope is the rise (up) over run (left or right depending on if the number is negative) between points. So the next point on the graph is up 5 and over 10. this simplified is 1/2. Then you put this into y=mx which is y=1/2x
sin45=5/x so x is 5/(sin45)
y is 5/(tan45)
question 5 then you just go x= (9sqrt(2)/2)/sin45
i don’t have a calculator rn so just plug it into it
Answer:
2pi/5
Step-by-step explanation:
The only thing in this equation that affect the period is the '5' in front of the 'x'
cos period is usually 2pi
this is compressed by 5
period = 2pi/ 5
