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trasher [3.6K]
3 years ago
14

Which of the following represents the coordinates of point A?

Mathematics
1 answer:
KiRa [710]3 years ago
8 0
The coordinates of A will be (2P +M)/3
= (2(16, 14) +(1, 4))/3 = (33/3, 32/3) = (11, 32/3)

The appropriate choice is
  (C) (11, 32/3)

_____
You will note that the coordinates of A are the weighted average of the coordinates of the end points. The weighting is the reverse of the ratio of the line segments. That is, the point adjacent to the shortest segment gets the highest weighting. (This is typical of the solution to "mixture" problems.)
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What is 4/9 divided by 5?
JulijaS [17]

Answer:

it is 4/45

Step-by-step explanation:

i wrote down and did the work on a piece of paper

3 0
3 years ago
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Can someone please help me with this question?
il63 [147K]

192 people should prefer Company B.


32+75+18=125

750/125=6

32*6=192

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3 years ago
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If a tank holds 4500 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the vo
disa [49]

Answer:

The response to this question can be defined as follows:

Step-by-step explanation:

v =4500 (1-\frac{t}{50})^2\\\\\to \frac{dV}{dt}= 9000 (1- \frac{t}{50})(\frac{1}{50})\\\\

          = 180 (\frac{50-t}{50})\\\\= 3.6(50-t)\\\\

For point a:

t=5\\\\V'=3.6\times 45 = 162\\\\ans= - 162\ \frac{gal}{min}\\\\

For point b:

t=10\\\\V'=3.6\times 40 = 144\\\\ans= - 144 \ \frac{gal}{min}\\\\

For point c:

t=20\\\\V'=3.6\times 30 = 108\\\\ans= - 108 \ \frac{gal}{min}\\\\

For point d:

t=50\\\\V'=3.6\times 0 = 0\\\\ans= 0 \ \frac{gal}{min}\\\\

4 0
3 years ago
HELP PLEASE!
Doss [256]
D.
first, eliminate B and C, because the highest degree in these two equation is 3, a 3-degree equation has 3 roots, not 4. 

between A and D, A has the roots 0, 0, 7, and -7, all real roots.

D can be factored into (x²-49)(x²+1)=0
x²=49 or x²=-1
x=7 or -7, x=i or -i    two real roots, two unreal roots 

for the second equation: 
first, find the first term by using the formula:
the nth term=the first term + (n-1)*difference
you are given the 13th term and d=3.7
a13=a1+(13-1)d
1.9=a1+12*3.7
a1=-42.5

the sum of the first 13 terms is S=(a1+a13)*(13/2)=(-42.5+1.9)*6.5=-263.9
3 0
3 years ago
A line has a slope of -5/3 through which two points could this line pass?
lyudmila [28]
The answer would be D. (11,14),(8,18)

To find the answer you need to find an equal slope.

To find the slope you need to do y2-y1/x2-x1

Y2 is 18, y1 is 13, x2 is 8, and x1 is 11

18-13/8-11
5/-3=
-5/3
8 0
3 years ago
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