Answer:
Option C - Multiply the 1st equation by 2
Step-by-step explanation:
To find : Which step could be completed in order to prepare the system of equations below for the elimination method?
Solution :
1st equation:
2nd equation:
For elimination method,
We eliminate the y by multiplying 1st equation by 2 and add by 2nd equation.
i.e. 1st equation became
Add with 2nd equation,
Substitute in (1),
Therefore, the step could be completed in order to prepare the system of equations below for the elimination method is option C.
Answer:
(x + 5)² + (y + 7)² = 288
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
The radius is the distance from the centre (- 5, - 7) to the point on the circle (7, 5)
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 5, - 7) and (x₂, y₂ ) = (7, 5)
r = =
=
Hence
(x - (- 5))² + (y - (- 7))² = ()², that is
(x + 5)² + (y + 7)² = 288
Answer:
Step-by-step explanation:
First choose two points on the line,
Let the points are A and B.
From point A to B we are moving downwards by (5 - 1 = 4 units)
Therefore, Rise = -4
Horizontal distance between A and B = 2 units
Therefore, Run = 2
Since, slope of a line =
Slope =
= -2
