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yarga [219]
2 years ago
11

What is the distance from 3, 5) to 4.-12)?​

Mathematics
1 answer:
enyata [817]2 years ago
4 0

Answer:

Step-by-step explanation:

P1 = (3.5,5)  in the form  (x1,y1)

P2 = (3.5,-12) in the form (x2,y2)

dist = sqrt[ (x2 - x1)^2 + (y2-y1)^2 ]

dist = sqrt[ (3.5-3.5)^2 + (-12-5)^2 ]

dist = sqrt [ 0  -17^2]

dist = 17

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Decrease £280 by 73%
bekas [8.4K]
280 x (1-0.73)
=280 x 0.37
= £103.60

£280 decreased by 73% is <span>£280 multiplied by 37%.

</span>If this answer has helped you, please make sure to leave a Thank You. 
4 0
3 years ago
Set up and evaluate the optimization problems. (Enter your answers as comma-separated lists.) Find two positive integers such th
alexira [117]

Answer and Step-by-step explanation:

Let x and y be two positive integers and their sum is 14:

X + y = 14

And the sum of square of this number is:

f = x2 + y2

 = x2+ (14 – x)2

Differentiate with respect to x, we get:

F’(x) = [ x2 + (14 – x)2]’ = 0

        2x + 2(14-x)(-1) = 0

        2x +( 28 – 2x)(-1) = 0

     2x – 28 +2x = 0

        2x + 2x = 28

         4x = 28

       X = 7

Hence, y = 14 – x = 14 -7 = 7

Now taking second derivative test:

F”(x) > 0

For x = y = 7,f reaches its maximum value:

(7)2 + (7)2 = 49 + 49

                   = 98

F at endpoints x Є [ 0, 14]

F(0) = 02 + (14 – 0)2

       =  196

F(14) = (14)2 + (14 – 14)2

  = 196

Hence the sum of squares of these numbers is minimum when x = y = 7

And maximum when numbers are 0 and 14.

6 0
2 years ago
What’s the answer?????
jeka57 [31]
The answer will be narrow
5 0
2 years ago
The drawing of a building shown below has a scale of 1 inch to 30 feet. What is the acual height in feet of the building?
mylen [45]
Multiply the amount of inches it is by 30 and you will know what the size is in feet.

8 0
3 years ago
Read 2 more answers
How do i express x^2-3x into the form of (x-m)^2+n. I will give brainliest to correct answer
mel-nik [20]

Step-by-step explanation:

let's simply do the multiplications and then compare with the original.

(x-m)² + n

right ?

or is it

{(x - m)}^{2 + n}

let's go for the first.

x² - 2mx + m² + n = x² - 3x

-2mx + m² + n = -3x

fun there we see two things :

-2m = -3

m = 3/2

and

m² + n = 0

(3/2)² = -n

9/4 = -n

n = -9/4

so our transformed expression looks like

(x - 3/2)² - 9/4

7 0
2 years ago
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