Answer:
y=-2x-5
Step-by-step explanation:
y-y1=m(x-x1)
y-(-7)=-2(x-1)
y+7=-2x+2
y=-2x+2-7
y=-2x-5
Hi, The Answer is:
2x/9
Steps:
Simpilfy the expression:
6x/27
Then reduce the fraction with 3:
2x/9
That's your answer have a good day.
Answer:
P(5, 1)
Step-by-step explanation:
Segment AB is to be partitioned in a ratio of 5:3. That means the ratio of the lengths of AP to PB is 5:3. We need to find the ratio of the lengths of AP to AB.
AP/PB = 5/3
By algebra:
PB/AP = 3/5
By a rule of proportions:
(PB + AP)/AP = (3 + 5)/5
PB + AP = AP + PB = AB
AB/AP = 8/5
AP/AB = 5/8
The first part of the segment is 5/8 of the length of the segment, and the second part of the segment has length of 3/8 of the length of segment AB.
Point P is located 5/8 of the distance from point A to point B. The x-coordinate of point P is 5/8 of the difference in x-coordinates added to the x-coordinate of point A. The y-coordinate of point P is 5/8 of the difference in y-coordinates added to the y-coordinate of point A.
x-coordinate:
difference in coordinates: |14 - (-10)| = |14 + 10| = 24
5/8 of 24 = 5/8 * 24 = 15
Add 15 to the x-coordinate of point A: -10 + 15 = 5
x-coordinate of point P: 5
y-coordinate:
difference in coordinates: |4 - (-4)| = |4 + 4| = 8
5/8 of 8 = 5/8 * 8 = 5
Add 5 to the y-coordinate of point A: -4 + 5 = 1
y-coordinate of point P: 1
Answer: P(5, 1)
If the square perimeter is 8y, then the square side would be:
square perimeter= 4*side
8y= 4*side
side=2y
The square garden side is 3m shorter than the length of the rectangle garden. The rectangle garden length will be:
rectangle length= square sides +3
rectangle length= 2y+3
rectangle perimeter= 2(rectangle length + rectangle side)
rectangle perimeter= 2(2y+3 + 2y+1)
rectangle perimeter= 2(4y+4)
rectangle perimeter= 8y + 8
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