Adding K shifts the graph up that many units.
The vertex of f(x) is at y = -3
The vertex of g(x) is at y = 1
This as a 4 unit shift upwards.
K = 4
You can make 5 into a fraction, 5/1, meaning there are 5 whole numbers, or simply just 5. You can use the unit fraction 1/3 to represent the 3 being the denominator.
When you mulitply fractions, you multiply straight across.
Answer: A Yes, because the balls are randomly selected, the distances of the new ball can be compared to the distances of the original ball.
B Yes, because the original ball type is included in this experiment, the distances the different balls travel can be accurately compared.
Step-by-step explanation:
C No, because a placebo ball was not used, a comparison cannot be made to determine if the new ball travels significantly farther.
D No, because all of the new type of balls are not hit first, the distances they travel cannot be compared to the distances of the original ball.
Answer:
x=31
Step-by-step explanation:
3x+25+2x=180°
=5x=155°
x=155/5
x=31
Answer:
two solutions : (-3;4) and (-5;6)
Step-by-step explanation:
hello :
X²+y²+18x+29=0 ..(1)
X+y=1 ...(2)
by (2) : y = 1 - x
put this value in (1) : x² +(1-x)² +18x+29 = 0
x² +1 +x² -2x+18x +29 =0
2x²+16x +30 = 0
x²+8x+15 =0
delta = b²-4ac a=1 b=8 c = 15
delta = (8)²-4(1)(15)=64-60 =4 = 2²
X1=(-8+2)/2 = - 3
X2=(-8-2)/2 = - 5
case 1 : x = -3 y = 1 - (-3) = 4
case 2 : x = -5 y = 1 - (-5) = 6