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amid [387]
3 years ago
14

Find the coordinates of the midpoint of the segment given its endpoints P(-3,-7) and Q(3,-5)

Mathematics
1 answer:
stellarik [79]3 years ago
8 0

Answer:

Midpoint....; (0,-6)

Step-by-step explanation:

Midpoint of the segment

= [(sum of x-coordinates) ÷ 2] , [(sum of y-coordinates) ÷ 2]

Midpoint = [( 3 + (-3))÷ 2 , (-5 + (-7))÷ 2]

Midpoint = ( 0/2 , -12/2 )

Midpoint = (0,-6)

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Coleman uses his graphing calculator to find all of the solutions to the equation shown below.
Phoenix [80]

Answer:

The correct option is;

D. x = -1.38 and 0.82

Please find attached the combined function chart

Step-by-step explanation:

The given equation is x³ + 3 = -x⁴ + 4

Plotting the equation using Excel, we have;

f(x) = x³ + 3, h(x) = -x⁴ + 4

x                                             f(x)                                       h(x)

-1.4                                         0.256                                   0.1584

-1.39                                       0.314381                              0.26699

-1.38                                       0.371928                             0.373261

-1.37                                       0.428647                             0.477246

-1.36                                       0.484544                             0.57898

Which shows an intersection at the point around -1.38

x                                          f(x)                                     h(x)

0.77                                    3.456533                         3.64847

0.78                                    3.474552                         3.629849

0.79                                    3.493039                          3.610499

0.8                                         3.512                                3.5904

0.81                                      3.531441                           3.569533

0.82                                       3.551368                          3.547878

0.83                                       3.571787                            3.525417

Which shows the intersection point around 0.82

Therefore, the correct option is x = -1.38 and 0.82

From the graphing calculator the intersection point is given as

x = -1.3802775691 and 0.81917251339.

8 0
2 years ago
Please help me this middle school math i fell asleep help! will give brainliest
castortr0y [4]

Answer:

I think you got it right

Step-by-step explanation:

can you help me Robert Frost's ability to write about the countryside using beautiful imagery was probably influenced by A his life on the farm in the Nem Hampshire countryside. B. his life in the city before he was married C. his keen imagination I need to know this answer

6 0
2 years ago
12 = -4(-6x -3) +24
Reil [10]

Answer:

x = -1

Step-by-step explanation:

Solve for x:

12 = 24 - 4 (-6 x - 3)

-4 (-6 x - 3) = 24 x + 12:

12 = 24 x + 12 + 24

Grouping like terms, 24 x + 12 + 24 = 24 x + (12 + 24):

12 = 24 x + (12 + 24)

12 + 24 = 36:

12 = 24 x + 36

12 = 24 x + 36 is equivalent to 24 x + 36 = 12:

24 x + 36 = 12

Subtract 36 from both sides:

24 x + (36 - 36) = 12 - 36

36 - 36 = 0:

24 x = 12 - 36

12 - 36 = -24:

24 x = -24

Divide both sides of 24 x = -24 by 24:

(24 x)/24 = (-24)/24

24/24 = 1:

x = (-24)/24

The gcd of -24 and 24 is 24, so (-24)/24 = (24 (-1))/(24×1) = 24/24×-1 = -1:

Answer:  x = -1

8 0
2 years ago
A truck left a station at 6:00am traveling at a rate of 45km/h. A van left the same place 2 hours later heading in the same dire
OverLord2011 [107]

The Van would catch up with the truck at 6:00 pm

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let us say the van catch up with the truck after t hours at a distance d.

For the truck:

45 = d/t

d = 45t

For the Van:

54 = d / (t - 2)

d = 54t - 108

45t = 54t - 108

9t = 108

t = 12 hours

The Van would catch up with the truck at 6:00 pm

Find out more on speed at: brainly.com/question/3004254

6 0
2 years ago
Read 2 more answers
Please help.need a math expert​
Veseljchak [2.6K]

Answer:

it would be 140

Step-by-step explanation:

4 0
2 years ago
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