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3 years ago

Consider A (-9, 4) and B (11, 17), find the coordinates for point P that partition A to B in a 3: 5 ratio.

Mathematics

1 answer:

Talja [164]3 years ago

7 0

Answer:

C. (-1.5, 8.875)

Step-by-step explanation:

on a coordinate plane if point(x1,y1) and (x2,y2) is divided by a point p in ratio of m:n then coordinate of point p is given by

p = (nx1 + mx2/ m+n, ny1+my2/m+n)

_______________________________________________

Given point

A (-9, 4) and B (11, 17)

ratio 3:5

m:n = 3:5

m+n = 3+5 = 8

coordinate of point p that partition AB

x = (5*-9 + 3*11) / 5+3 y = (5*4 + 3*17) / 5+3

x = (-45 + 33) / 8 y = (20 + 51) / 8

x = (-12) / 8 y = (71) / 8

x = -3 / 2 = -1.5 y = 8.875

Thus, coordinate of point p is (-1.5, 8.875).

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A video game store allows customers to rent games for $5 each. Customers can also buy a membership for $50 annually, and video g

omeli [17]

Answer:

20 games

Step-by-step explanation:

Given

Customers:

$Rent = \$5$ per game

Members:

$Membership = \$50$

$Rent = \$2.50$ per game

Required

Determine number of games for both to be equal

Represent the number of games with g

For regular customers;

g games cost: $5 * g$

For Members

g games cost: $50 + 2.50 * g$

Equate both expressions:

$5 * g = 50 + 2.50 * g$

$5g = 50 + 2.5 g$

Collect like terms

$5g -2.5g= 50$

$2.5g= 50$

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$g = 50/2.5$

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4 0

3 years ago

What is the value of x?

polet [3.4K]

Answer:

71°

Step-by-step explanation:

All angles inside of a triangle add up to 180°, so you need to find angles that add up properly. First, you should subtract 38 from 180, which gives you 142°. Now, if you look at the outer measurements, you can clearly see that this triangle is isosceles, meaning it has both two congruent sides and angles. So we are left with 142, and it needs to be dispersed evenly into the two angles because they are congruent, so divide by 2 and you get 71° for X.

8 0

4 years ago

Alex's friend Pablo comes up with an exact equation to find out how many bags he needs. Use his equation

Bezzdna [24]

Answer:

8.5 bags are needed.

Step-by-step explanation:

Given : Number of bags needed $B=x(2x+7)+3(2x+7)+(x+4)$

$(2x + 7) = 4$

To Find : how many bags he needs?

Solution :

$(2x + 7) = 4$

$2x=-3$

$x=-\frac{3}{2}$

Now we are given that Number of bags needed $B=x(2x+7)+3(2x+7)+(x+4)$

Substitute the value of x

$B=(\frac{-3}{2})(2(\frac{-3}{2})+7)+3(2(\frac{-3}{2})+7)+((\frac{-3}{2})+4)$

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Hence 8.5 bags are needed.

3 0

4 years ago

PLEASE ANSWER FAST

Burka [1]

Answer:

9.95 + 8.01p ≤ 50, so p ≤ 5

Step-by-step explanation:

So to set up the equation you must first add 9.95+ because every order has a shipping fee of 9.95

Then you put in 8.01 is less than or equal to 50 because p representing a number of players is being multiplied by the unit cost 8.01. Trace is also wants the total to be under 50 dollars

Finally p is less than or equal to 5 because if you put the value 5 in for p in the equation, the equation is true.

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Alex73 [517]

Answer:

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Step-by-step explanation:

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3 years ago

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