All categories

3 years ago

Endpoints P(0, 0) and Q(8, 4). Find the coordinates of the midpoint of .

Mathematics

2 answers:

Anika [276]3 years ago

8 0

Answer:

(4, 2)

Step-by-step explanation:

$(\frac{x_{1} + x_{2}}{2} , \frac{y_{1} + y_{2}}{2})$

$(\frac{8 + 0}{2} , \frac{4 + 0}{2})$

$(\frac{8}{2} , \frac{4}{2})$

(4, 2)

azamat3 years ago

3 0

Answer:

(4,2)

Step-by-step explanation:

The midpoint of PQ = (x1+x2)/2 , (y1+y2)/2

= (0+8)/2 , (0+4)/2

= 8/2, 4/2

=4,2

You might be interested in

Patrica can drive 36 kilometers for every 3 liters of gas she puts in the car.

Elza [17]

108 .

explanation : 36 x 3 = 108

( it’s easy multiplication )

3 0

3 years ago

The area of ABED is 49 square units. Given AGequals9 units and ACequals10 units, what fraction of the area of ACIG is represent

stiks02 [169]

Answer:

The fraction of the area of ACIG represented by the shaped region is 7/18

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the square ABED find the length side of the square

we know that

AB=BE=ED=AD

The area of s square is

$A=b^{2}$

where b is the length side of the square

we have

$A=49\ units^2$

substitute

$49=b^{2}$

$b=7\ units$

therefore

$AB=BE=ED=AD=7\ units$

step 2

Find the area of ACIG

The area of rectangle ACIG is equal to

$A=(AC)(AG)$

substitute the given values

$A=(9)(10)=90\ units^2$

step 3

Find the area of shaded rectangle DEHG

The area of rectangle DEHG is equal to

$A=(DE)(DG)$

we have

$DE=7\ units$

$DG=AG-AD=9-7=2\ units$

substitute

$A=(7)(2)=14\ units^2$

step 4

Find the area of shaded rectangle BCFE

The area of rectangle BCFE is equal to

$A=(EF)(CF)$

we have

$EF=AC-AB=10-7=3\ units$

$CF=BE=7\ units$

substitute

$A=(3)(7)=21\ units^2$

step 5

sum the shaded areas

$14+21=35\ units^2$

step 6

Divide the area of of the shaded region by the area of ACIG

$\frac{35}{90}$

Simplify

Divide by 5 both numerator and denominator

$\frac{7}{18}$

therefore

The fraction of the area of ACIG represented by the shaped region is 7/18

5 0

2 years ago

Nicole has 27 cars available to rent.

Schach [20]

Answer

27 - R = C

if she rented 16 of them then

27 - 16 = C And C = 11

3 0

3 years ago

Solve the following proportion for y.

LekaFEV [45]

Answer:

y = 110/3 or 36.6 (the 6 is infinite so make a line over it when entering the answer)

7 0

2 years ago

Can you walk me through on how to do this

denpristay [2]

Answer:

h=v/πr²

Step-by-step explanation:

v=πr²h

v/π=r²h

v/πr²=h

3 0

3 years ago