Use the pythagorean theorem a.k.a
c is the hypotenuse while a & b are the legs
subtract 225 from 289
square root both b and 64
the other leg is equal to 8
Answer:
<h2>
b = -2</h2>
Step-by-step explanation:
The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.
m = 2
(4, 6) ⇒ x₀ = 4, y₀ = 6
So, the point-slope form of equation:
y - 6 = 2(x - 4)
Changing to the slope-intercept form of the equation of the line (y = mx + b, where m is the slope and b is the y-intercept of the line):
y - 6 = 2x - 8 {add 6 to both sides}
y = 2x - 2 ⇒ b = -2
Answer:Stan used 19/40 of a gallon of gasoline.
Step-by-step explanation:
At first, Stan's lawn mower had 1/8 of a gallon of gasoline in the tank. When it got finished, he put 6/10 of a gallon of gasoline in the tank. It means that the number of gallons of gasoline that he has already put in the tank is
1/8 + 6/10 = 29/40 of a gallon.
After he mowed, 1/4 of a gallon was left in the tank. Therefore, the total amount of gasoline Stan used is
29/40 - 1/4 = 19/40 of a gallon
Then rearrange the equation to get 10x on the same side as 25.
Keep in mind, once bringing to the other side, your constant and variable will switch to a negative or positive for example,
-10x will become +10x. Another example is +20x will become -20x once brought to the other side.
Continuing on once rearranged, your equation will look like,
Then we have to get rid of the 2 on 2y so you will have to divide both sides by 2.
Dividing both sides by 2, you will get,
The reason why we don't divide and rather keep the 25/2 (25 divded by 2) is because 25 divided by 2 will give an answer with a decimal and that we don't want a decimal in our equation so we just keep it the way it is. If you ever get a decimal, make sure you keep it in its fraction form.