For the coordinates of P and M (the midpoint) are given. Find the coordinates for Q.P(3, 11) and M (0, 0)

Answers

Answer 1

Answer: Given an endpoint of a segment and a midpoint, the other endpoint can be obtained by manipulation of the midpoint formula. The said formula is shown below:

Let: (a,b) = coordinates of point 1 ; (c,d) = coordinates of point 2; (e,f) = coordinates of the midpoint

Midpoint = ( (a+c)/2 , (b + d)/2 )

From the formula: (a+c)/2 = e ; (b + d)/2 = f

Since we are already given an endpoint and the midpoint, we can solve for the other endpoint using the obtained equations. This is shown below:

(a+c)/2 = e
(3 + c)/2 = 0
c = -3

(b + d)/2 = f
(11 + d)/2 = 0
d = -11

Therefore, the coordinates of the other point is Q(-3,-11)

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How to simplify -64^(1/3)

Answers

$-64^{(1)/(3)}=\sqrt[3]{-64}= \sqrt[3]{(-4)^3} =-4$

You need to find a number that you can multiply by itself 3 times and wind up with -64 .

Like [ N x N x N = -64 ] .

Try some small numbers:

1 x 1 x 1 = 1
2 x 2 x 2 = 8
3 x 3 x 3 = 27
4 x 4 x 4 = 64 . . . There it is ... almost ! The right number, but the wrong sign.

Now try (-4).

Find the area of each parallelogram.

Answers

Answer:

30 and 21

Step-by-step explanation:

At the metal-casting company where you work, you must set up a conveyor system to move castings from the furnace to the heat treatment area 55 yards away. The castings cool at the rate of 0.3°F (degrees Fahrenheit) per second and must not be allowed to cool more than 7°F before being heat treated. What is the minimum speed, in feet per second, that the conveyor must move?

Answers

Answer:

the minimum speed, in feet per second, that the conveyor must move is 7.07143 ft/sec

Step-by-step explanation:

Let's assume time it takes to cool is 't' seconds

so, we are given

The castings cool at the rate of 0.3°F (degrees Fahrenheit) per second

so, total change in temperature will be

$=0.3* t$

$=0.3t$

must not be allowed to cool more than 7°F before being heat treated

so, that temperature must be equal to 7

$0.3t=7$

now, we can solve for t

$t=(7)/(0.3)$

$t=(70)/(3)$ sec

now, we are given length of casting is 55 yards

so, firstly we will change it into ft

1 yard =3 ft

so,

$55 yard=3* 55 ft$

$55 yard=165 ft$

so, we have

total length =55 ft

now, we can use speed formula

$speed=(length)/(time)$

we can plug values

$speed=(165)/((70)/(3) )$

so, speed is 7.07143 ft/sec

Answer:

7.07 is the answer i got as well

Step-by-step explanation:

Simplify 5(x - 6).

-x
5x - 6
5x - 30

Answers

5x-30

When multiplying a term (either constant or variable) by a quantity in parentheses, we multiply each term inside the parentheses by that term. So 5 times x minus 5 times 6.

I need help asap pleaseee