Answer:
7.8
Step-by-step explanation:
(1/2)^2 = 1/4
2-2/3 = 6/3 - 2/3 = 4/3
OK so:
(1/2)^2 - 6(2-2/3) = 1/4 - 6(4/3)
= 1/4 - 8
= 1/4 - 32/4
= -31/4
Answer:
y = 
Domain = [3, infinity)
Step-by-step explanation:
x = 3y^2 + 3
3y^2 = x - 3
y^2 = (x-3)/3
y = 
This is an incomplete question, here is a complete question and image is also attached below.
How much longer is the hypotenuse of the triangle than its shorter leg?
a. 2 ft
b. 4 ft
c. 8 ft
d. 10 ft
Answer : The correct option is, (b) 4 ft
Step-by-step explanation:
Using Pythagoras theorem in ΔACB :


Given:
Side AC = 6 ft
Side BC = 8 ft
Now put all the values in the above expression, we get the value of side AB.



Now we have to calculate the how much longer is the hypotenuse of the triangle than its shorter leg.
Difference = Side AB - Side AC
Difference = 10 ft - 6 ft
Difference = 4 ft
Therefore, the 4 ft longer is the hypotenuse of the triangle than its shorter leg.
Answer:
3 peanut cookies
Step-by-step explanation:
Given that :
Plate 1:
Number of chocolate chip = 4
Number of peanut butter cookies = 1
Probability of drawing chocolate chip cookies from plate 1 :
Probability =( number of required outcome / Total possible outcomes)
P(chocolate chip) = 4 / 5
Plate 2:
Number of chocolate chip = 2
Number of peanut butter cookies = p
P(chocolate chip) = 2 / (2 + p)
Probability of drawing chocolate chip from plate 1 and then plate 2 = 8/ 25
(4/5) * 2/(2+p) = 8/ 25
8 / (10 + 5p) = 8/ 25
8(10 + 5p) = 8 * 25
80 + 40p = 200
40p = 200 - 80
40p = 120
p = 3