Answer:
1. y=3x-2 -> x= (y+2)/3
Step-by-step explanation:
You simply sub-in the m and b, then "reverse" the problem by doing the steps to get from the 2nd, to the first.
Given:
Karen earns $54.60 for working 6 hours.
Amount she earns varies directly with the number of hours she works.
She need to work to earn an additional $260.
To find:
Number of hours she need to work to earn an additional $260.
Solution:
Let the amount of earnings be A and number of hours be t.
According to question,

...(i)
where, k is constant of proportionality.
Karen earns $54.60 for working 6 hours.

Divide both sides by 6.


Put k=9.1 in (i).

Substitute A=260 in the above equation.

Divide both sides by 9.1.



Therefore, she need to work extra about 29 hours to earn an additional $260.
<span>Hypotenuse = 26 mm </span>
1st Leg = 10 mm
Other Leg = x.
By Pythagoras Theorem:
x² + 10² = 26²
<span>x² + 100 = 676 </span>
x² = 676 - 100
x² = 576
x = √576
x = 24
<span>The other leg is 24 mm</span>
He took it from a panoramic view!