All categories

3 years ago

Find the coordinates of the point 7/10 of the way from A to B. A(-4,-7) B(12,4)

Mathematics

1 answer:

krok68 [10]3 years ago

7 0

Answer:

C(7.2,0.7)

Step-by-step explanation:

Let point C be $\frac{7}{10}$ of the way from A to B, then $AC:CB=7:3.$

If point $C(x_C,y_C)$ divides segment AB with endpoints $A(x_A,y_A),\ B(x_B,y_B)$ in the ratio $m:n,$ then

$x_C=\dfrac{nx_A+mx_B}{m+n}\\ \\y_C=\dfrac{ny_A+my_B}{m+n}$

In your case, A(-4,-7) and B(12,4), so

$x_C=\dfrac{3\cdot (-4)+7\cdot 12}{7+3}=\dfrac{-12+84}{10}=7.2\\ \\y_C=\dfrac{3\cdot (-7)+7\cdot 4}{7+3}=\dfrac{-21+28}{10}=0.7$

You might be interested in

You earn $7.80 an hour working as a dog sitter. You work 12.5 hours during the weekend. How much money do you make?

atroni [7]

97.5 is the answer: its simply just 7.80 x 12.5

4 0

3 years ago

Read 2 more answers

Mariah spent $9.50 on 9 pounds of limes and pears. Limes cost $0.50 per pound and pears cost $1.50 per pound. Let l be the numbe

Rudiy27

l + p = 9 and 0.5l + 1.5p = 9.5

4 0

3 years ago

Find the area of the rectangle in the picture

Volgvan

Answer:

2x^2-18

Step-by-step explanation:

2x to the power of 2 minus 18

7 0

2 years ago

A corporation must appoint a president, chief executive officer, chief operating officer and chief financial officer. It also ap

erik [133]

Answer:

Part a: The number of ways in which the candidates can be appointed on the executive posts are 11880.

Part b: The number of ways in which the candidates can be appointed as members of the planning committee are 495.

Step-by-step explanation:

As the complete question is not given a similar question is found online and is attached herewith.

Part a: Number of ways in which 12 candidates can be appointed for President, Chief Executive Officer, Chief Operating Officer and Chief Finance Officer.

Number of Candidates=12

Number of Posts=4

As the order is important the number of ways are identified using Permutations given as

$Number\,\ of\, ways=^{12}P_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!}\\Number\,\ of\, ways=\frac{12!}{8!}\\Number\,\ of\, ways=11880$

So the number of ways in which the candidates can be appointed on the executive posts are 11880.

Part b: Number of ways in which 12 candidates can be appointed as members of the planning committee.

Number of Candidates=12

Number of Posts=4

As the order is not important the number of ways are identified using Combinations given as

$Number\,\ of\, ways=^{12}C_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!4!}\\Number\,\ of\, ways=\frac{12!}{8!4!}\\Number\,\ of\, ways=495$

So the number of ways in which the candidates can be appointed as members of the planning committee are 495.

8 0

4 years ago

What is the gcf of 32 and 56

Archy [21]

Answer:

The GCF of 32 and 56 are 8.

Step-by-step explanation:

Answer above! Enjoy! :)

8 0

3 years ago