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Rama09 [41]
3 years ago
6

What is the midpoint of (8,10) and (-8,8)

Mathematics
1 answer:
nasty-shy [4]3 years ago
4 0

9514 1404 393

Answer:

  (0, 9)

Step-by-step explanation:

The midpoint coordinates are the averages of the end point coordinates.

  M = (A +B)/2

  M = ((8, 10) +(-8, 8))/2 = (8 -8, 10+8)/2 = (0, 18)/2

  M = (0, 9)

The midpoint is (0, 9).

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i am trying to put a fence around a garden that is in the shape of a regular hexagon. i know that the side of the garden is 6ft
finlep [7]
There are 6 sides to a hexagon  and each side of the fence  will be 6+2 = 8 feet

So you'll need 8*6  = 48 feet of fencing.
6 0
3 years ago
The price p (in dollars) that a camera manufacturer is able to charge for a camera is given by p = 100 - 10x² where x is the num
Alla [95]

Answer:

10x^3-70x+60=0

x=1, x=2.

Step-by-step explanation:

x is the number (in millions) of cameras produced

The price is  p=100 - 10x²

Profit= 60 (in millions)

It costs 30 to make a camera.

So we have:

Profit=x(price-cost)

60=x( [100-10x²] - 30)

60=100x-10x^3 -30x

60=70x-10x^3

10x^3-70x+60=0

⇒x^3 -7x+6=0 is the equation we were looking for.

Solving:

The independent term of the equation is 6.

the divisors of 6 are {1,-1, 2,-2, 3,-3, 6,-6}

Substituting each divisor in the equation we have:

x=1

(1)^3 -7(1)+6=0

1-7+6=0

0=0

⇒x=1 is a solution.

x=-1

(-1)^3 -7(-1)+6=0

-1+7+6=0

12=0 this is not true

⇒x=1 is not a solution.

x=2

(2)^3 -7(2)+6=0

8-14+6=0

0=0

⇒x=2 is a solution.

x=-2

(-2)^3 -7(-2)+6=0

-8+14+6=0

12=0 this is not true

⇒x=-2 is not a solution.

x=3

(3)^3 -7(3)+6=0

27-21+6=0

12=0 this is not true

⇒x=2 is not a solution.

x=-3

(-3)^3 -7(-3)+6=0

-27+21+6=0

0=0

⇒x=-3 is a solution.

x=6

(6)^3 -7(6)+6=0

216-42+6=0 this is not true

⇒x=6 is not a solution.

x=-6

(-6)^3 -7(-6)+6=0

-216+42+6=0 this is not true

⇒x=-6 is not a solution.

The solutions of the equation are x=-3,x=1,x=2.

However, it is not possible to produce -3 millions of cameras.

So the only possible solutions are x=1 and x=2.

4 0
3 years ago
Read 2 more answers
Saul made some extra money last year from a part-time job. He invested part of the money at 2% with four times as much invested
omeli [17]

Answer:

$4000

Step-by-step explanation:

Given that :

Total interest earned = $150

Let amount invested (p) at 2% = x

Amount invested (p) at 3.25% = 4x

Interest = principal * rate * time

At 2%:

(x * 0.02 * 1 ) + (4x * 0.0325 * 1) = 150

0.02x + 0.13x = 150

0.15x = 150

x = 150 / 0.15

x = 1000

Hence,

Amount invested at 2% = x = 1000

Amount invested at 3.25% = 4x = 4(1000) = 4000

6 0
3 years ago
Pablo built a large wooden storage box. The box was in the shape of a rectangular prism, as shown below. He covered all the side
Naily [24]

The cost of wallpaper used to cover all sides of the storage box is given by $3 per square foot

<h3>Cost of wallpaper per square foot</h3>

  • length = 9 ft
  • Width = 8 ft
  • Height = 5 ft

Surface area of a box = 2(lh + wh + lw)

= 2(9×5 + 8×5 + 9×8)

= 2(45 + 40 + 72)

= 2(157)

= 314 square foot

  • Total cost of wallpaper = $942

Cost of wallpaper per square foot = $942 ÷ 314 square foot

= $3 per square foot

Learn more about surface area:

brainly.com/question/2500827

#SPJ1

3 0
2 years ago
The temperature was -3 C last night. It is now -4 C. What was the change in temperature
natulia [17]

-1 C, that's the only logical answer I can think of. Or does it have to be in F?

6 0
3 years ago
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