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ale4655 [162]
2 years ago
8

Find the distance between the points (-8,-6) and (4, 10)

Mathematics
1 answer:
never [62]2 years ago
3 0

Answer:

d=20

Step-by-step explanation:

To find the distance between 2 points we use the distance formula

d = √(x2 - x1)²+(y2 - y1)²

The given points are (x1= -8, y1 = -6) and (x2 = 4, y2 = 10).

Substitute the given points into the distance formula.

d = √(4 + 8)²+(10 +6)²

d = √144+252

d= √400

d = 20

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Sam invests $800 at 6%/a compounded annually for 5 years. What is the total interest<br> earned?
s2008m [1.1K]
<h3>Answer:    270.58 dollars</h3>

======================================================

Work Shown:

  • A = account value after t years
  • P = principal or amount deposited = 800
  • r = interest rate in decimal form = 0.06
  • n = number of times we compound per year = 1
  • t = number of years = 5

So,

A = P*(1+r/n)^(n*t)

A = 800*(1+0.06/1)^(1*5)

A = 1070.58046208

A = 1070.58

After five years, the account will have $1,070.58 in it.

The amount of interest earned is A-P = 1070.58 - 800 = 270.58 dollars.

4 0
2 years ago
How many 2 1/2 acre plots can be made out of a 35-acre field
Hoochie [10]

35 divided by 2 1/2

change 2 1/2 to an improper fraction

2 1/2 = 5/2

35 divided by 5/2

copy dot flip

35 * 2/5

70/5

14  

you can make 14 plots

4 0
3 years ago
A poster is to have a total area of
Neko [114]

Answer:

Dimensions of printed area

w = 8.95 cm

h = 13.44 cm

A(max) = 120.28 cm²

Step-by-step explanation:

Lets call  " x "  and  "y" dimensions of the poster area  ( wide and height respectively) . Then

A(t)  =  180 cm²  = x*y      y  =  180/ x

And the dimensions of printed area is

A(p) = ( x - 2 ) * ( y - 3 ) then  as y  = 180/x we make A function of x only so

A(x)  =  ( x - 2 ) * ( 180/x  - 3 )     ⇒  A(x)  = 180 - 3x - 360/x +6

A(x)  = - 3x  - 360 /x + 186

Taking derivatives on both sides of the equation we get:

A´(x)  = -3  + 360/ x²  

A´(x)  = 0    -3  + 360/ x²  = 0     -3x²  +  360  = 0

x²  = 120       ⇒   x = √120       x  =  10.95 cm

And  y  =  180 / 10.95 ⇒         y  =  16.44 cm

Then x and y are the dimensions of the poster then according to problem statement

w of printed area is    x - 2  =  10.95 - 2   =  8.95 cm

and  h  of printed area is  y - 3  = 16.44 - 3  = 13.44 cm

And the largest printed area is  w * h  = ( 8.95)*(13.44)

A(max) = 120.28 cm²

   

 

7 0
3 years ago
You select a card at random from the cards that make up the word replacement without replacing the card,you choose a second card
serious [3.7K]

Answer:

34/55

Step-by-step explanation:

Find the probability of the opposite; not a single vowel chosen.

So, the consonants are 7, so 7/11 times 6/10, which is 21/55.

Then, just 1 - 21/55 to get 34/55

6 0
3 years ago
-a^2+7b^4-2c^3 if a= -4 b= -2 and c=-3
coldgirl [10]

Step-by-step explanation:

-(-4)²+7(-2)⁴-2(-3)³

=16+7(16)-2(-27)

=15+112+54

=181

8 0
2 years ago
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