Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(3,8)(-7,11)
d = sqrt (-7 - 3)^2 + (11 - 8)^2
d = sqrt (-10^2) + (3^2)
d = sqrt (100 + 9)
d = sqrt 109
d = 10.44
===============
mid-point formula : ((x1 + x2) / 2 , (y1 + y2) / 2)
(-9,5)(21,-7)
midpoint = ((-9 + 21)/2 , (5 + (-7)/2)
= ((12/2) , (-2,2))
= (6, -1) <==
=======================
(-8,7)(-9,11)
midpoint = ((-8 + (-9) / 2, (7 + 11)/2 )
= (-17/2, 18/2)
= (-8.5, 9) <==
======================
(8,y)(-11,6).....midpoint = (-1.5/5)
midpoint = ((8 + (-11)/2, (y + 6)/2)
= (-3/2), (4 + 6)/2
= (-1.5,5)
y = 4 <==
======================
slope = (y2 - y1) / (x2 - x1)
(3,-6)(6,12)
slope = (12 - (-6) / (6 - 3) = (12 + 6) / 3 = 18/3 = 6 <==
======================
(x,10)(-4,8)...slope = 2/3
y = mx + b
slope(m) = 2/3
(-4,8)...x = -4 and y = 8
sub and find b
8 = 2/3(-4) + b
8 = -8/3 + b
8 + 8/3 = b
24/3 + 8/3 = b
32/3 = b
equation is : y = 2/3x + 32/3 or 3y = 2x + 32
when y = 10
3(10) = 2x + 32
30 - 32 = 2x
-2 = 2x
-2/2 = x
-1 = x <===
=================
(9,0)(3,y)...slope = 1/2
y = mx + b
slope(m) = 1/2
(9,0)...x = 9 and y = 0
sub and find b
0 = 1/2(9) + b
0 = 9/2 + b
-9/2 = b
equation is : y = 1/2x - 9/2 or 2y = x - 9
sub in 3 for x and solve for y
2y = 3 - 9
2y = -6
y = -6/2
y = -3 <==
=================
(8,7)(11,7)...notice how the y values are the same. This means it is a horizontal line. A horizontal line has a slope of 0.
====================
sorry...not too good with the picture graphs
Answer:
i cant see the pic please send a better one and i reloaded it and it still does not work
Step-by-step explanation:
Answer: x = 64
Step-by-step explanation:
70 = 1/2((5x+10)-(3x-2)
(remove the inner bracket)
70 = 1/2(5x+10-3x+2)
(transfer 1/2 to LHS)
70*2 = 2x + 12
140 = 2x+12
(transfer 12 to LHS)
140 - 12 = 2x
128 = 2x
(transfer 2 to LHS)
128/2 = x
=>x = 64
hope it helps
The answer is 2.25g/ml or 2.25 g/cm³
To do this, you need to know the formula of density. Density is the mass per unit of volume.
Where:
D = Density
M = Mass
V = Volume
You already have your mass, which is 45.0g, so what is your volume?
A graduated cylinder measures the volume of liquids. The procedure that was done here is called the displacement method. You can get an estimated volume of an irregular object by subtracting the initial volume from the final volume.
In this case, it would be:
<span>70.0mL - 50.0mL = 20.0 mL
</span>The volume is then 20.0mL.
Now that we have the volume we can solve for density.
Now take note that 1mL = 1cm³. So you can also express the answer as
2.25g/cm³.
Answer:
The differential equation is
dR/dt = -k(2x - n)dx/dt for k > 0
Assuming initially, one person adopts the innovation, then
dR/dt = 0
Step-by-step explanation:
Total number of people in the community is "n"
At time t, the number of people who
have adopted the innovation is "x(t)"
This Tells us that (n - x) people haven't adopted the innovation.
It is assumed that the rate at which the innovations spread through the community is jointly proportional to the number of people who have adopted it and the number of people who have not adopted it.
So
Let R be the rate, then
R is proportional to x(n - x)
R = kx(n - x) = -kx(x - n)
Differentiating this with respect to time, t, we have
dR/dt = (-k(x - n) - kx)dx/dt
dR/dt = -k(2x - n)dx/dt for k > 0
And this is the differential equation.
Assuming initially, one person adopts the innovation, then
dR/dt = 0
