Answer:
x=6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Method #1
We can draw a <em>right triangle</em> on the graph upon where the points are located and use the Pythagorean Theorem:
* Whenever we talk about distance, we ONLY want the NON-NEGATIVE root.
_______________________________________________
Method #2
Or, we can use the Distance Formula:
![\sqrt{[-x_1 + x_2]^{2} + [-y_1 + y_2]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-x_1%20%2B%20x_2%5D%5E%7B2%7D%20%2B%20%5B-y_1%20%2B%20y_2%5D%5E%7B2%7D%7D%20%3D%20D)
[2, 7] [3, −3]
![\sqrt{[-3 + 2]^{2} + [3 + 7]^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-3%20%2B%202%5D%5E%7B2%7D%20%2B%20%5B3%20%2B%207%5D%5E%7B2%7D%7D%20%3D%20D)
![\sqrt{[-1]^{2} + 10^{2}} = D](https://tex.z-dn.net/?f=%5Csqrt%7B%5B-1%5D%5E%7B2%7D%20%2B%2010%5E%7B2%7D%7D%20%3D%20D)
** You see? It does not matter which method you choose, as long as you are doing the work correctly.
I am delighted to assist you anytime.
Answer: No, Store A is charging $2.20 per rose while Store B is charging 2.166667 dollars per rose.
Step-by-step explanation:
11/5 = 2.2
(To check) 2.2 x 5 also equals $11
However, they are not selling roses at the same rate because if you were to do 2.2x6 it will equal 13.2.
13/6 = 2.166667
Answer: The perimeter is 30ft.
Step-by-step explanation:
Let's define:
L = length of the longer side.
S = length of the shorter side.
P = perimeter
we know that for a common rectangle:
P = 2*S + 2*L
We aso know that:
L = 2ft + (1/3)*P
S = (1/10)*P
L = S + 9ft.
So we have a system, let's find the perimeter only using this system (So i will ignore the equation for the perimeter of a rectangle)
First, we can replace the third equation in the first equation, now we have a system with only two equations:
S + 9ft = 2ft + (1/3)*P
S = P/10
Now we can replace the second equation in the first equation, and get:
P/10 + 9ft = 2ft + P/3
Now let's solve this for P.
9ft - 2 ft = P/3 - P/10
7ft = P( 1/3 - 1/10) = P*( 10/30 - 3/30) = P*(7/30)
(30/7)*7ft = P = 30ft.
The perimeter is 30ft.
