Area of triangle=1/2(base×height)
360=1/2((4x-2)(7x+5))
720=(4x-2)(7x+5)
FOIL the binomial
720=28x^2+6x-10
Bring 720 to the other side
28x^2+6x-10-720=0
28x^2+6x-730=0
Factor 2 out
2(14x^2+3x-365)=0
Factor 2(14x+73)(x-5)=0
x-5=0
x=5
It can't be 14x-73=0 because the length can't be negative.
You're welcome.
Answer:
5/2cups
Step-by-step explanation:
If a recipe serves 6 and calls for 3/4cups, arecipe that serves 20, will call for (20×3/4)/6 cups. Mathematically;
6recipe = 3/4cups
20recipe = x
Cross multiplying we have;
6x = 20×3/4
6x = 15
x = 15/6
x = 5/2
This means a recipe that serves 20 will call for 5/2cups
Answer:
4 hours and 33 minutes
Step-by-step explanation:
Before I answer, I was confused if recess and lunch are 35 minutes in total or 35 minutes each. My answer is if they are 35 minutes combined. If that's wrong, you can just add 35 minutes to my answer.
5*45 = 225
225+35 = 260 minutes or 4 hours and 33 minutes
X-5y=36
x+y=-26
y=-26-x
x-5(-26-x)=36
x+130+x=36
2x+130=36
2x=36-130
2x=-94
x=47