Answer:
x=2 and y=-6 aka. (2,-6) which is the point of intersection
Step-by-step explanation:
Use elimination to cancel out y by adding the equations:
5x=10
x=2
Plug x=2 into one of the equations and find y:
2(5)+2y=-2
10+2y=-2
2y=-12
y=-6
Therefore, x=2 and y=-6
Answer:
Amount of finance charge = $800
Interest rate = 5% per year
Step-by-step explanation:
Given:
Cost of item = $4,000
Per month payment = $100
Number of month = 48 month = 48 /12 = 4 year
Find:
Amount of finance charge
Interest rate
Computtaion:
Total amount pay = 100 x 48
Total amount pay = $4,800
Amount of finance charge = Total amount pay - Cost of item
Amount of finance charge = 4,800 - 4,000
Amount of finance charge = $800
Interest = P x r x T
800 = 4,000 x r x 4
800 = 16,000 x r
Interest rate = 5% per year
Answer:
The equation of the line would be y = 2x + 8
Step-by-step explanation:
In order to find the equation of the line, we first need to find the slope of the original line. We can do that by solving for y.
14x - 7y = 1
-7y = -14x + 1
y = 2x - 1/7
Now that we have a slope of 2, we know the new slope will be the same since parallel lines have the same slope. So we can use it along with the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 4 = 2(x + 2)
y - 4 = 2x + 4
y = 2x + 8
First round to 899 to 9 then count 5 decimal places left then put in scientific notation 9.0 x 10^-5
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
