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).
9514 1404 393
Answer:
volume goes to 2.0 L
Step-by-step explanation:
At constant temperature, volume and pressure are inversely related. Increasing the pressure by a factor of 125/50 = 2.5 will cause the volume to be reduced by that factor.
volume = 5.0L / 2.5
volume = 2.0 L
Answer:
420
Step-by-step explanation:
you would first work out 3/4 of 560 so you would do 560÷4 which gives you 140. then you will times 3 by 140 which gives you 420. 420 went to the trip
Step-by-step explanation:
1/6×100%=50/3%
3/24×100%=25/4%
3/8×100%=75/2%
=>50/3%+25/4%+75/2%+x=100%
=>100%-725/12%=x
=>x=59 and 5/12
Easy peasy
the bit where it says
D={something}
those are the numbers you should input for x to get y values
3.
first solve for y to make life easier
-3x-5y=20
times -1
3x+5y=-20
minus 3x both sides
5y=-3x-20
divide both sides by 5
y=-3/5x-4
sub value of the domain
x=-10
y=-3/5(-10)-4
y=6-4
y=2
a point is (-10,2)
x=-5
y=-3/5(-5)-4
y=3-4
y=-1
(-5,-1) is another
x=0
y=-3/5(0)-4
y=-4
(0,-4) is another
x=5
y=-3/5(5)-4
y=-3-4
y=-7
(5,-7)
points are (-10,2), (-5,-1), (0,-4), (5,-7)
4.
input
x=-2
y=(-2)^2-3
y=4-3
y=1
(-2,1)
x=-1
y=(-1)^2-3
y=1-3
y=-2
(-1,-2)
x=0
y=(0)^2-3
y=-3
(0,-3)
x=1
y=(1)^2-3
y=1-3
y=-3
(1,-3)
x=2
y=(2)^2-3
y=4-3
y=1
(2,1)
the points are (-2,1), (-1,-2), (0,-3), (1,-2), (-2,1)
see graph below