Y = ax + b;
0.89 = a * 2 + b and 2.09 = a * 5 + b =>
=> 2.09 - 0.89 = a * 5 + a * 2 + b - b => 1.20 = 3 * a => a = 1.20 / 3 => a = 0.40;
b = 0.89 - 0.40 * 2 => b = 0.89 - 0.80 => b = 0.09;
y = 0.40x + 0.09 => 0.40x - y + 0.09 = 0 is the linear equation.
Answer:
The 2 triangles are congruent. The angles and sides are the same, To map FGH onto PQR, rotate FGH 180 degrees.
There is a 50 50 chance of rolling both numbers so the answer will be 1
Set up an equation and then solve for x. Luke has x amount and Tom has twice as many so that is 2x.
x + 2x =39
3x=39
Divide by 3
x= 13 so ...
Luke has 13 marbles and Tom has 2 times x so Tom has 2x13=26 marbles. 13+26=39
A /b = 4 +c so the answer is 40