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Aleks [24]
2 years ago
14

Point A lies on coordinates (-2,5) and point B lies on coordinates (8,13). What is the coordinates of midpoint of line AB?

Mathematics
1 answer:
Semmy [17]2 years ago
7 0

Step-by-step explanation:

Let P (x, y) be the mid point of line segment AB.

\therefore \:P (x, y)  = ( \frac{ x_1 +x_2}{2} , \:  \:   \frac{y_1 +y_2}{2} )  \\  \\  \therefore \:P (x, y)  = ( \frac{  - 2 +8}{2},  \:  \:  \frac{5 +13}{2} )  \\  \\ \therefore \:P (x, y)  = ( \frac{  6}{2},  \:  \:  \frac{18}{2} )  \\  \\  \therefore \:P (x, y)  = ( 3 , \:  \:  9 )  \\  \\

Thus, the coordinates of the mid point P of line segment AB is (3, 9).

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A car is traveling at a steady speed. It travels 1 3/4 miles in 2 1/3 minutes. how far will it travel in 21 minutes? in 1 hour?
GaryK [48]

Answer:

Step-by-step explanation:

1¾ miles/(2⅓ minutes) = (7/4 miles)/(7/3 minutes) = ¾ mile/minute

21 minutes × ¾ mile/minute = 15.75 miles

60 minutes × ¾ mile/minute = 45 miles

8 0
2 years ago
Joaquin is constructing the perpendicular bisector of ab. What should be his first step?
natali 33 [55]

Answer:

D. Open the compass so that the distance from the two points of the compass is wider than half the length of \over{AB}.

Step-by-step explanation:

To construct a perpendicular for \over{AB}, we must first take a compass & take the distance of its arms wider than half the length of \over{AB}.

This is done in order to get two intersecting arcs in the top & bottom of \over{AB} so that a perpendicular bisector can be drawn through it.

After two intersecting lines are drawn below & above \over{AB}, draw a line joining these 2 points through their points of intersection. The point where it intersects \over{AB} is the middle-most point of \over{AB} & now a perpendicular bisector of \over{AB} is constructed.

\rule{150pt}{2pt}

3 0
1 year ago
A rental car cost $60 plus an additional $0.15 per mile. What is the cost of renting a car for one day and driving it 65 miles.
ICE Princess25 [194]

Answer:

$69.75

Step-by-step explanation:

60+0.15x is your expression.

Now, plug in 65 miles for x, as that is the changing value.

60+(0.15*65)

60+9.75

$69.75

7 0
3 years ago
It t takes a snail 10 seconds to move 1 centimeter.
swat32

Answer:

0.2

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Lemon drops and jelly beans are mixed to make a 100 pound mix. if the lemon drops cost $1.90 per pound and jelly beans cost $1.2
vladimir1956 [14]

L = lemon drops

J = jelly beans

L +J = 100

L=100-J

1.90L + 1.20J=1.48*100

1.90(100-j) +1.20J =148

190-1.90J+1.20J=148

190-0.7J=148

-0.7J=-42

J = 60

L=100-60 = 40


40 pounds of Lemon Drops are needed

4 0
3 years ago
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