They give us 2 pieces to the puzzle. Both are positive numbers...x and y.
1.) 1 number is 1 less than twice another number. (x = 2y -1)...and
2.) the sum of their squares is 106. (x^2 + y^2 = 106).
substitute the value for x into the second equation.
(2y-1)^2 + y^2 = 106
(2y-1) (2y-1) + y^2 = 106 (use distributive property)
4y^2 - 2y - 2y + 1 + y^2 = 106 (subtract 106 from both sides)
4y^2 - 2y - 2y + 1 + y^2 - 106 = 106 - 106 (combine like terms)
5y^2 - 4y - 105 = 0 (factor)
(y-5) (5y-21) = 0 (set to 0)
y - 5 = 0
y = 5
substitute the 5 into the equation for y (x = 2(5) - 1)
x = 9 if we square 9, we get 81.
subtracted from 106 we have 25...the square root of 25 is 5.
our answers are 5 and 9.
The equation that shows the relationship between the number of round trips, x and the number of kilometers, y Scott walked is y = 3x
Each round trip = 3 km
x = number of rounds
y = number of km he has walked in all.
1 rounds = 3 km
Therefore,
x rounds = 3x km
Each round of trip covers 3km. This means for each round of trip a distance of 3km is covered. The total distance or number of kilometers is represented with y.
The equation to show the relationship between x(number of rounds) and y (number of km) can be represented below
read more: brainly.com/question/14197865?referrer=searchResults
To get from 27 to 67.5 you multiply 27 by 2.5 so you need to do the same to the 5
5x2.5=12.5
=12.5in
Answer: 253.5
Step-by-step explanation:
If your equation is 6s^2, all your doing is:
6x6.5^2,
or the long-form
(6.5*6.5) + (6.5*6.5) + (6.5*6.5) + (6.5*6.5) + (6.5*6.5) + (6.5*6.5) = 253.5
3/4 is 1/3 of what number?
For this problem we just need to do the following division:
And we can solve for the value of x desired and we got multiplying both sides by 3:
So then we can conclude that 3/4 is 1/3 of 9/4
Answer: 9/4
Expression:
