Answer:
y = 5/3x +5
Step-by-step explanation:
The two-point form of the equation of a line is useful here.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (0 -(-5))/(-3 -(-6))(x -(-6)) -5
y = 5/3(x +6) -5
y = 5/3x +5 . . . . slope-intercept form
5x -3y = -15 . . . .standard form
_____
There is no "fully reduced" form of the equation of a line. There are slope-intercept form, point-slope form, two-point form, standard form, general form, intercept form, and some others. We assume that "fully reduced" applies to any fractions in the equation. The "slope-intercept" form has a fraction, so perhaps that's the form that is required.
A. 13 classes completed worth 3 credits.
Answer:
Step-by-step explanation:
w + g = 52
w = 4g - 3
(4g - 3) + g = 52
5g - 3 = 52
5g = 52 + 3
5g = 55
g = 55/5
g = 11....there are 11 green marbles
w + g = 52
w + 11 = 52
w = 52 - 11
w = 41 <=== there are 41 white marbles
The answer is no solution.
First you simplify both sides of the equation... Then you subtract 6x from both sides. And lastly you subtract 6 from both sides. Leaving you with no solutions.
Answer:
Step-by-step explanation:
The ladder, ground, and building form a right triangle where the vertical distance between the top of the ladder and the bottom of the ground is one leg, the horizontal distance between the bottom of the ladder and the building is another leg, and the length of the ladder is the hypotenuse.
For any right triangle, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared (
), where 
is the hypotenuse.
Let the length of the ladder be 
(hypotenuse of right triangle). The distance between the top of the ladder and the ground (vertical distance) can be represented as 
.
From the Pythagorean Theorem, we then have:
Expand using 
:
Subtract from both sides and add 
to both sides:
Combine like terms:
Divide both sides by 2:
Therefore, the length of the ladder is 25 feet.
