9514 1404 393
Answer:
y = -5/3x -13/3
Step-by-step explanation:
In any "solve for ..." problem, it is useful to start by identifying where the target is and what has been done to it. Here, y is in one term on the left side of the equation and it has had these things done to it:
We want to undo these in reverse order. We undo addition by adding the opposite. We undo multiplication by multiplying by the reciprocal (equivalently, dividing). <em>Whatever we do to one side of the equation, we must also do to the other side</em>.
So, first we add the opposite of -5x to both sides of the equation.
-5x +5x -3y = 13 +5x
-3y = 13 +5x . . . . . . . . . collect terms
Next, we undo the multiplication by -3. We can do that by multiplying both sides by 1/(-3) = -1/3.
(-1/3)(-3y) = (-1/3)(13 +5x)
y = -5/3x -13/3 . . . . . also we rearranged the terms to standard form
Answer:
(x - 7)² + (y - 4)² = 49
Step-by-step explanation:
Given
Equation: x² + y² = 49
Required:
New Equation when translated 7 units right and 4 units up
Taking it one step at a time.
When the equation is translated 7 units right, this implies a negative unit along the x axis.
The equation becomes
(x - 7)² + y² = 49
When the equation is translated 4 units up, this implies a negative unit along the y axis.
(x - 7)² + (y - 4)² = 49
The expression can be further simplified but it's best left in the form of
(x - 7)² + (y - 4)² = 49
I believe the answer is C. It doesn't make sense to drop an object from -16 feet, and it doesn't make sense to have a -120 in the equation. It should be positive for it to come out right.
Answer:
Step-by-step explanation:
Using the equation of line
y - y_1 = m(x - x_1)
y = mx + C
First first the slope of the equation
y = 9x - 4
Note: if two lines are perpendicular, their slope will be negative reciprocal
Slope = 9, but because it is perpendicular
m = -1/9
Using the equation
y - y_1 = m(x - x_1)
With the point (-9,-17)
x_1 = -9
y_1 = -17
y - (-17) = -1/9(x - (-9)
y + 17 = -1/9(x + 9)
y = -1/9(x + 9) - 17
Open the bracket.
y = (-x -9)/9 - 17
Lcm is 9
y = -x -9 - 153 / 9
y = -x - 162 / 9
Let's separate
y = -x/9 - 162/9
y = -x/9 - 18
y = -1/9x - 18
Therefore, the equation of the line is y = -1/9x - 18
