The ordered pair for Y is (-4,-2)
Step-by-step explanation:
Given
X(-2,3)
Z(-6,-7)
As Y is the mid-point of XZ, it will divide Xz in two equal segments. Y is the mid-point of the segment.
Let (x_Y, y_Y) be the coordinates of the mid-point
Then
Putting the values
Hence,
The ordered pair for Y is (-4,-2)
Keywords: Coordinate geometry, Mid-point
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Answer:
Step-by-step explanation:
What are the center and radius of the circle described by the equation x2 + y2 + 6x + 10y + 18 = 0?
Center (3.5); Radius 4
Center (-3,-5); Radius 4
O Center (3,5); Radius 16
O Center (3.5); Radius 10
x² + y²+ 6x + 10y + 18 = 0
x² + 6x + y² + 10y = -18
x² + 6x + 9 + y² + 10y + 25 = -18 + 6 + 9
x² + 3x + 3x + 9 + y² + 5y + 5y + 25 = -3
Let w = number of weeks.
In week w,
Laura has: 720 + 30w
Taylor has: 1200 - 30w
Set the two amounts equal and solve for w, the number of weeks.
720 + 30w = 1200 - 30w
60w = 480
w = 8
They will have the same amount of money in 8 weeks.
Laura will have in 8 weeks:
720 + 30w = 720 + 30 * 8 = 720 + 240 = 960
Taylor will have in 8 weeks:
1200 - 30w = 1200 - 30 * 8 = 1200 - 240 = 960
They will both have $960 in 8 weeks.
Answer:y=4x+6
Step-by-step explanation:
We have the information that the slope is 4 and the line goes through the point (-2,-2). With this information, we can make a linear equation in a point slope form (, so the equation would be , or simplified, in order to solve for y (to make it a slope-intercept equation), we must subtract 2 from both sides. This gives us the equation y=4x+6. Hope this helps!
Answer:
0.77
Step-by-step explanation:
I just guessed