Answer:
There are three intersections on the graph, therefore there are three solutions to the system
Step-by-step explanation:
Answer: 16 ft
Explanation:
You can determine the lengths of each segment by subtracting the coordinates of the adjacent points.
1) From (2,5) to (8,5): 8 - 2 = 6
2) From (8,5) to (8,3): 5 - 3 = 2
3) From (8,3) to (2,3): 8 - 2 = 6 (as expected as this is congruent to the first
4) From (2,3) to (2,5): 5 - 3 = 2 (as expected as this is congruent to the second).
The total length of the border or perimeter is equal to the sum of all the sides:
perimeter = 6 + 2 + 6 + 2 = 16
Therefore the answer is 16 ft
Inflation Rate= CPI2-CPI1/CP1 x 100
Answer:
(4,11)
Step-by-step explanation:
y=2x+3
y=5x-9
the first equation is equal to the second equation so
2x+3=5x-9
put like terms together
2x-5x= -9-3
-3x= -12
divide both sides by -3
.•.x=4
now, use the value of x to find the value of y like this:
y=2x+3 (x=4)
y=2(4)+3
y=8+3
y=11
therefore, the two lines intersect at the point (4,11)
Given:
A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G.
To find:
The coordinates of point G.
Solution:
Section formula: If a point divide a line segment with end points
and
in m:n, then the coordinates of that point are

Point G divide the line segment FH in 8:2. Using section formula, we get




Therefore, the coordinates of point G are (4.8, 4.4).