Answer:
The coordinates of the vertex is (6,4).
Step-by-step explanation:
The vertex is the highest or lowest point on the parabola (curved line).
Answer:
3(n+7)-6=2n+10+n
Step-by-step explanation:
Answer:
2/7 = 4/14
3:3 = 6:6
1/2 = 2/4
2.5:6 = 5:12
Step-by-step explanation:
For the first one, we can multiply the numerator and denominator of the fraction by 2 to get an equivalent fraction which is 4/14
For the second one we can multiply each side by 2 to get the ratio of 6:6
For the third one we can multiply the numerator and denominator by 2 to get 2/4
For the last one we can multiply each side by 2 to get 5:12
Answer:
≈ 39.7ft
Step-by-step explanation:
The Pythagorean theorem:

(a and b are the two shorter legs and c is the largest leg, which is also the opposite side of the right angle)
First, the value of a and c is given. So, we can go ahead and plug those value in and then solve for b.


To find b, we have to get it by itself. So we subtract 2025 from both sides then square root both sides. Resulting in:

≈ 39.7ft
Answer:
The question is incomplete, this is the complete question.;
There are five nickels, five dimes and five quarters in your pocket. You randomly pick three coins and place them on the counter the first coin is a nickel, the second is a dime and the third is a quarter.find the probability of this occurring.
The answer to the question is;
the probability of this occurring is 1/27
Step-by-step explanation:
Let n(N) =5 ( the number of nickels)
n(D) =5 ( the number of dimes) and
n(Q) = 5 ( the number of quarters)
P(N)= 5/15=1/3 (prob of picking a nickel)
P(D) =5/15=1/3 (prob of picking a dime)
P(Q) = 5/15= 1/3 (prob of picking a quatre)
The probability of picking the three= P(N)×P(D)×P(Q)
= 1/3×1/3×1/3
= 1/27