Answer:
x=4 and y=2
Step-by-step explanation:
I'm not 100% sure but I substituted different numbers into the equation:
If x=4 and y=2 then 4+2=6 and 3x2=6 so it would be 6=6
Another option is x=7 and y=3 then 7+2=9 and 3x3=9 so it would be 9=9
I'm more confident with x=4 and y=2 because of the small size of the triangle.
I hope this helps! Good luck! :)
Answer:
X=6
Step-by-step explanation:
First step isolate the variable;2x=12
Simplify;x=12/2=6
P1=(0,0)=(x1,y1)→x1=0, y1=0
P2=(3,-2)=(x2,y2)→x2=3, y2=-2
Slope: m=(y2-y1)/(x2-x1)
m=(-2-0)/(3-0)
m=(-2)/3
m=-2/3
Point-slope equation:
y-y1=m(x-x1)
y-0=(-2/3)(x-0)
y=-(2/3)x
Answer: The equation of the line is: y=-(2/3)x
Answer:
10 or x=10
Step-by-step explanation:
First we can combine like-terms.
8x+6=86
Then subtract 6 from both sides
8x=80
Divide by 8
x=10
Answer:
AKPOS/ACGF = 28√3 -48 ≈ 0.497423
Step-by-step explanation:
Let's assume the square is a unit square. Then the height of the triangle is ...
1 +(√3)/2 = h
and half the base of the triangle is ...
h/√3 = (√3)/3 +1/2 = b/2
The area of the triangle is the product of these:
A = (1/2)bh
= (2 +√3)/2 × (3 +2√3)/6
= (6 +3√3 +4√3 +6)/12 = (12 +7√3)/12
So, the ratio of the area of the square to that of the triangle is the inverse of this, or ...
(square area)/(triangle area) = 12/(12+7√3)
(square area)/(triangle area) = 28√3 -48