Answer & Step-by-step explanation:
To find if they have a constant of proportionality of 12, use the following:
Divide y by the x value (x,y), and if the remaining equation is true, then that table has a constant of proportionality of 12.*
:Done
*Make sure you check all the values in a table. Sometimes only the first values will have k=12, while the others don't.
**The constant of proportionality is represented by <em>k</em>.
{3x+2y=4 /*5
{4x+5y=17 /*(-2)
{15x+10y=20
<u>{-8x-10y=-34 </u>(+)
<em>7x=-14</em><em />
<em>x=-2</em>
15x+10y=20
15*(-2)+10y=20
-30+10y=20
10y=50
<em>y=5</em>
So you can you the Pythagorean theorem to solve this problem.
if each side of the square is a certain length x, then the square is made up of two right triangles.
the sides adjacent to the right angle are length x while the hypoteneus is the diagonal whcih measures 36 feet.
a^2 + b^2 = c^2
x^2 + x^2 = 36^2
2x^2 = 1296
x^2 = 648
x = 25.456
area of a square = x^2 = 648 ft^2
Answer:
The correct option is C. 14.
Step-by-step explanation:
First you have that the perimeter of a rectangle = (2·length) + (2·width)
⇒perimeter of a rectangle = [2·( x + 7)] + [2·(2x - 3)]
⇒ 32 = [2·( x + 7)] + [2·(2x - 3)] ⇒ 32 = (2x + 14) + (4x - 6)
⇒ 32 = 6x + 8 ⇒ 32 - 8 = 6x ⇒ 24= 6x ⇒ 24/6 = x ⇒ x = 4. ⇒ 3x= 12.
John sold 30U
Rick sold 25U
So, Rick sold 5 fewer units than John.
Hope that helps.
