Answer:
(6,6) only goes with Line 2
(3,4) goes with neither
(7,2) goes with both
Step-by-step explanation:
Ok to decide if a point is on a line you plug it in. If you get the same thing on both sides, then that point is on that line. If you don't get the same thing on both sides, then that point is not on that line.
Test (6,6) for -5x+6y=-23.
(x,y)=(6,6) gives us
-5x+6y=-23
-5(6)+6(6)=-23
-30+36=-23
6=-23
So (6,6) is not on -5x+6y=-23.
Test (6,6) for y=-4x+30
(x,y)=(6,6) give us
y=-4x+30
6=-4(6)+30
6=-24+30
6=6
So (6,6) is on y=-4x+30.
Test (3,4) for -5x+6y=-23.
(x,y)=(3,4) gives us
-5x+6y=-23
-5(3)+6(4)=-23
-15+24=-23
9=-23
So (3,4) is not on -5x+6y=-23.
Test (3,4) for y=-4x+30.
(x,y)=(3,4) gives us
y=-4x+30
4=-4(3)+30
4=-12+30
4=18
So (3,4) is not on y=-4x+30.
Test (7,2) for -5x+6y=-23.
(x,y)=(7,2) gives us
-5x+6y=-23
-5(7)+6(2)=-23
-35+12=-23
-23=-23
So (7,2) is on -5x+6u=-23.
Test (7,2) for y=-4x+30.
(x,y)=(7,2) gives us
y=-4x+30
2=-4(7)+30
2=-28+30
2=2
So (7,2) is on y=-4x+30
(x,y) Line 1 Line 2 Both Neither
(6,6) *
(3,4) *
(7,2) *
(6,6) only goes with Line 2
(3,4) goes with neither
(7,2) goes with both
Read it line by line and after 100 Read it 101 or 102 keep going until you reach the line easy
Answer:
the y-intercept is 22 spaces higher.
Step-by-step explanation:
I don't know, what special operations you want to express with 3(5)x.
as it is written this simply means
3×5×x
no exponents or other special things are visible.
but it should not matter.
whatever is the first function is unchanged the first part of the second function.
so, the only difference is the "+ 22" part.
and that simply means that all y values (the functional result values) are increased by 22.
you know that "f(x) =" has the same meaning as "y =".
and with that also the y-intercept (the y value when x = 0, and therefore the point, where the curve intersects the y-axis) is increased by 22 spaces.
The volume flow rate of the air being pumped into the football will be given by:
Q=V*A
Where
V=Speed
A=Area
You know that your pump expels air at speed of 8.2 ft/s
The area of The needle of your pump is
A=pi*r^2=pi*((4.5/1000)*(3.28))^2=0.00068442 ft^2
Finally
Q=V*A=(8.2 ft/s)*(0.00068442ft^2)=0.005612243 ft^3/s
Answer:
10651.7 gallons
Step-by-step explanation:
