Answer:
2/3 or 2 over 3
Step-by-step explanation:
4 over three means 4 pieces out of 3. 4 pieces divided by 2 is 2 pieces.
Answer: 2/3
Cathy rolls a number cube that is labeled from 1 to 6.
Total outcomes = {1,2,3,4,5,6}
she rolls an even number or a multiple of 3
Outcomes of an even number = {2,4,6}
Outcomes of multiple of 3 = {3,6}
so favorable outcomes of even number or a multiple of 3 = {2,3,4,6}
Probability ( any event) =number of favorable outcomes divide by total number of outcomes
probability(even number or a multiple of 3) = 
Answer: x^2 - 14x + 49
Explanation:
1) Divide the coefficient of x by 2:
14 / 2 = 7
2) so you have to add 7^2 = 49
x^2 - 14x + 49
3) that trinomial is equivalent to:
=> (x - 7)^2
4) prove that using the formula (a - b)^2 = a^2 - 2ab + b^2
(x - 7)^2 = x^2 - 14x + 49
Then you have to add 49 to complete the square. and form a perfect square trinomial.
Answer:
(x+6)(x−6)=0
x=-6 or x=6
Step-by-step explanation:
X^2 - 36 = 0
Solve by Square Root
add 36 both sides
x^2−36+36=0+36
x^2=36
square root
x=±√36
x=6 or x=−6
You can do that or for 2nd option
Solve by factoring
x^2-36=0
(x+6)(x−6)=0
Set factors equal to 0
x+6=0 or x−6=0
x=-6 or x=6
PLEASE NOTE: 36 is the square of 6
and
x2 is the square of x1
Answer:
Option a) circle 5 meters and 22 meters
Step-by-step explanation:
We are given the following information in the question:
A pair of diameter and the circumference is given. We have to find a correct approximations for the diameter and circumference.
a) circle 5 meters and 22 meters

b) 19 inches and 50 inches

c) 33 centimeters and 80 centimeters

Thus, no pair gives a reasonable approximation. Only the circle with diameter 5 and circumference 22 meters have closest approximation.