Answer:
Step-by-step explanation:
1 st hit=12 ft
2nd hit=2*6=12 ft
3rd hit=2*3=6 ft
4th hit=2*1.5=3 ft
distance=12+12+6+3=33 ft
Since 4^2=sqrt(16), we can rewrite it as that. In addition, as 2 is a factor of 16, we can rewrite it as sqrt(2)*sqrt(16/2)=sqrt(2)*sqrt(8). Crossing out the sqrt(2), we get sqrt(8) as our answer. To simplify it, we can note that 2^2=4 and 4 is a factor of 8 when multiplied by 2, so we get 2*sqrt(2)
Answer:
a) (x + 5) (x - 5)
b) (x + 5i) (x - 5i)
c) (x + (5i/2)) (x - (5i/2))
d) (x-1)(x-1)
e) x +i√3 +1) (x -i√3+1)
Step-by-step explanation:
To solve this, we will need to factorize each quadratic function making it equal to zero first and then proceeding to find x
a) f(x) = x²-25
x²-25 = 0
⇒(x + 5) (x - 5)
b) f(x)=x²+25
x² + 25 = 0
x²= -25
x = √-25
x = √25i
x = ±5i
⇒(x + 5i) (x - 5i)
c) f(x)=4x²+25
4x²+25 = 0
4x²= -25
x² = -25/4
x = ±√(-25/4)
x = ±(√25i)/2
x = ±5i /2
⇒(x + (5i/2)) (x - (5i/2))
d) f(x)=x²-2x+1
x²-2x+1 = 0
⇒(x - 1)²
e) f(x)=x²-2x+4
x²-2x+4 = 0
x²-2x = -4
x²-2x +1 = -4 +1
x²-2x + 1 = -3
(x-1)² +3 = 0
(x-1)²= -3
x-1 = √-3
x = ±√3i +1
⇒(x +i√3 +1) (x -i√3+1)
Y axis is counting by 2's
it started at 2 and went up to 6
Y = 4
X axis is counting by 2'2
starts at one goes to 3
X = 2
Slope is 4/2 because rise over run
4/2 = 2
Slope is simplified to 2.
