All categories

3 years ago

Point M is the midpoint of AB. If the coordinates of point Mare (2, 8) and the coordinates

Mathematics

1 answer:

ElenaW [278]3 years ago

8 0

Answer:

(-6,4)

Step-by-step explanation:

add the x coordinates of point A and B(take x coordinate of B as X),then divide the sum of 2 and equal it to 2 which is the x coordinate of the midpoint.

then repeat the same procedure for the y coordinates ,take the sum of y corrdinates divide by 2 and equal to 8.

then u can obtain the coordinates of B.

You might be interested in

The length of a rectangle is 4ft less than its width.The area of the rectangle is 6oft<img src="https://tex.z-dn.net/?f=%5E%7B2%

Alexeev081 [22]

Answer:

Width is 10ft and length is 6ft.

Step-by-step explanation:

The area of a shape is the amount inside a shape. It is found using multiplication or A = l*w. Since the width is w and the length is 4ft less than its width or w - 4, use these expressions in the area formula to find their amount.

$A = l*w\\60 = w(w -4)\\60 = w^2-4w$

Subtract 60 from both sides and factor the quadratic to solve for w.

$w^2 -4w - 60 = 0\\(w-10)(w+6) = 0$

Set each factor equal to 0 and solve.

w - 10 = 0 so w = 10

w + 6 = 0 so w = -6.

Since w represents a length or distance it cannot be negative, this means the width is 10. The length which is w - 4ft is 10 -4 = 6. The length is 6 ft.

5 0

3 years ago

A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company prod

ArbitrLikvidat [17]

Answer:

1 495 500 505 500

2 525 515 505 515

3 470 480 460 470

Step-by-step explanation:

Suppose to be sample are

495 500 505 500
525 515 505 515
470 480 460 470

In the given sample if sample 3 is difficult to control .Because engineer wants to construct a sample mean controlling the service to his company produces.In sample set first two sets have continuous four headlamps but in third it is difficult to handle the control.

4 0

3 years ago

Please Help: Solve for x x + 11 = 5x - 5

Brums [2.3K]

the answer for this question is x=4

6 0

3 years ago

Read 2 more answers

Sam built a circular fenced-in section for some of his animals .the section has a circumference of 55 meters .what is the approx

otez555 [7]

Answer:

243 m²

Step-by-step explanation:

Area of circle:

A = πr²

Circumference of circle:

C = 2πr

Given

C = 55 m

Find r using the second formula:

2πr = 55
2*3.14r = 55
r = 55/6.28
r = 8.8 (rounded)

Find area using the first formula:

A = 3.14*8.8²
A = 243 m² (rounded)

7 0

3 years ago

The pressure and volume of an expanding gas are related by the formula PV^b=C, where b and C are constants (this holds in adiaba

bazaltina [42]

The dP/dt of the adiabatic expansion is -42/11 kPa/min

<h3>How to calculate dP/dt in an adiabatic expansion?</h3>

An adiabatic process is a process in which there is no exchange of heat from the system to its surrounding neither during expansion nor during compression

Given b=1.5, P=7 kPa, V=110 cm³, and dV/dt=40 cm³/min

PVᵇ = C

Taking logs of both sides gives:

ln P + b ln V = ln C

Taking partial derivatives gives:

$\frac{1}{P}\frac{∂P}{∂t} + \frac{b}{V}\frac{∂V}{∂t} = 0$

Substitutituting the values b, P, V and dV/dt into the derivative above:

1/7 x dP/dt + 1.5/110 x 40 = 0

1/7 x dP/dt + 6/11 = 0

1/7 x dP/dt = - 6/11

dP/dt = - 6/11 x 7

dP/dt = -42/11 kPa/min

Therefore, the value of dP/dt is -42/11 kPa/min

Learn more about adiabatic expansion on:

brainly.com/question/6966596

#SPJ1

4 0

1 year ago