Answer:
<em>3y+5x=6</em>
Step-by-step explanation:
<u>Equation of the Line</u>
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

The line passes through the points (6,-8) and (-3,7), thus:


Simplifying:

Multiplying by 3:


Moving all the variables to the left side:
3y + 5x = 30 - 24
3y + 5x = 6
Answer: 14 gallons of gas.
Step-by-step explanation: For the fractions, find a common denominator, which would be 10. To get 1/5 to have a denominator of 10, multiply each number by 2. You would get 2/10. 7 gallons fills his tank from 2/10 to 7/10. Subtract the two fractions.
7/10 - 2/10 = 5/10.
7 gallons filled his tank half way. We are trying to find the amount to fill his tank all the way. So multiply 7 by 2.
7 x 2 = 14
14 gallons of gas will fill his tank all the way.
I hope this helps!
Answer:
t = 4 x 12
Step-by-step explanation:
t = total # of marbles
Equation: t = 4 x 12
=48
Answer:
1453 cm²
Step-by-step explanation:
The area of a regular polygon is given in terms of its perimeter and apothem by ...
A = (1/2)Pa
A = (1/2)(145.3 cm)(20 cm) = 1453 cm²
The area of the pentagon is 1453 square centimeters.