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worty [1.4K]
3 years ago
7

Find the coordinates of point, P, which divides the line segment from A = (0, 4) to B = (6, 8) in a ratio of 2:1.

Mathematics
1 answer:
anastassius [24]3 years ago
6 0
When a point divide a line segment A (x1,y1) B (x2,y2) into a ration of a:b, the coordinates of that point is x1+[a/(a+b)](x2-x1), y1+[a/(a+b)](y2-y1)
so x=0+(2/3)(6-0)=4
y=4+(2/3)(8-4)=6&2/3 (mixed number 6 and 2 over 3)
(4, 6&2/3) is the answer. 
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The owners of a golf course hired a company to determine how many squirrels were living on their property. First, the company pu
muminat

Answer:

Squirrel population is 440 squirrels.

Step-by-step explanation:

It is given that there are 22 squirrels are marked.

Later the company returned and counted a total of 220 squirrels of which are marked were 11.

So, we can set up proportional equation to find the squirrel population.

Let squirrel population is x.

We can set up proportional equation as

\frac{11}{220}=\frac{22}{x}

Cross multiply

11 x=4840

Divide both sides by 11

x=440

Best estimate is 440.

6 0
3 years ago
The Benjamin Franklin Parkway in Philadelphia, PA, runs diagonally from City Hall to the Philadelphia Museum of Art. In the scal
Ghella [55]

Answer:

6895ft

Step-by-step explanation:

Given data

The coordinates

City Hall is located at (11.4, 1.2)       x1,y1= 11.4, 1.2

Museum of Art is located at (1.5, 10.8)  x2,y2= 1.5, 10.8

Required:

the distance between the two points

Applying the Pythagorean theorem as

d= \sqrt((x_2-x_1)^2+(y_2-y_1)^2)   we can find the distance by substituting the given point coordinates

d= \sqrt((1.5-11.4)^2+(10.8-1.2)^2)\\\\d= \sqrt((-9.9)^2+(9.6)^2)\\\\d= \sqrt(98.01+92.16)\\\\d= \sqrt190.17\\\\d=13.79

in feet, we are told that a unit is 500 ft

then 13.79 will be 500*13.79

=6895.107ft

=6895ft

3 0
3 years ago
Help me on number problem 4 please.
Tresset [83]
The answer is 460 because you have to subtract
3 0
3 years ago
Read 2 more answers
Read the word problem below. Jill had $90. She bought a skirt that normally costs $42 but was on sale for half price. She also b
Likurg_2 [28]

Answer:

What was the regular price of the T-shirt?

  • $18

What question is being asked in this word problem?

  • what is the regular cost of the t-shirt purchased by Jill.

What is the regular price of the skirt?

  • $42

How much money does Jill have left?

  • without considering sales tax, Jill has $90 - $31 = $59 left.
  • If I use the sales tax from where I live, the sales tax = $1.86, so the money that Jill will have left = $59 - $1.86 = $57.14

How much does the T-shirt normally cost?

  • $18 (same as question 1)

What is the amount Jill pays in sales tax?

  • since you do not include the sales tax % in the question, I will simply use the sales tax from where I live = $31 x 6% = $1.86

Step-by-step explanation:

skirt $21

t-shirt = p - $8

before sales tax, total cost was $31

$21 + p - $8 = $31

p = $18

7 0
3 years ago
PLEASE ANSWER QUICK<br><br> THANK YOU
Lesechka [4]

Answer:

D)-3x+5

Step-by-step explanation:

Hope this helps ;)

4 0
3 years ago
Read 2 more answers
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