The Minnitte family pool, PQRS, measures 48 feet by 84 feet
48 : 84 = 4 : 7
The Gaudet family pool, WXYZ, measures 40 feet by 70 feet
40 : 70 = 4 : 7
The two pools are similar
The similarity statements :
PQ/WX = QR/XY = RS/YZ = PS/WZ
Scale factor:
48/40 = 6/5
84/70 = 6/5
So
SF = 6/5
Note that the 2nd equation can be re-written as y=8x-10.
According to the second equation, y=x^2+12x+30.
Equate these two equations to eliminate y:
8x-10 = x^2+12x+30
Group all terms together on the right side. To do this, add -8x+10 to both sides. Then 0 = x^2 +4x +40. You must now solve this quadratic equation for x, if possible. I found that this equation has NO REAL SOLUTIONS, so we must conclude that the given system of equations has NO REAL SOLUTIONS.
If you have a graphing calculator, please graph 8x-10 and x^2+12x+30 on the same screen. You will see two separate graphs that do NOT intersect. This is another way in which to see / conclude that there is NO REAL SOLUTION to this system of equations.
Y= 2x + 1 is the equation hope this helps!
Abel ate 1/4 more than John.
If it started with 4/4 then John ate 1/4 and Abel ate 2/4 so 1/4 would be left.
Hope this helps
The square root must be between the square roots of the perfect squares just above and just below your number.
<span>For example the square root of 89 must be between 9 and 10.</span>
