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3 years ago

On a map, there are 3 centimeters between two cities. The actual distance between the cities is 45 kilometers.

Mathematics

2 answers:

larisa86 [58]3 years ago

6 0

Answer:

3cm on map = 45 km

1 cm on map = Xkm

Xkm = 45 / 3

Xkm = 15km

Therefore scale = 1:15000

Step-by-step explanation:

Rashid [163]3 years ago

4 0

Answer:

15km/cm

Step-by-step explanation:

All you do is divide 45 by three to determine your scale

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Find the inverse function of f(x)= square root of 2x+2

Alik [6]

The inverse function of the above function is f(x) = $\frac{x^{2} - 2}{2}$

You can find the inverse of any function by switching the f(x) and x terms. Once you have done that, solve for the new f(x). Finally, what you'll have remaining is the inverse function. The work is done for you below:

f(x) = $\sqrt{2x + 2}$ ----> Switch the x and f(x)

x = $\sqrt{2f(x) + 2}$ ---> square both sides

$x^{2}$ = 2f(x) + 2 ---> subtract 2 from both sides

$x^{2}$ - 2 = 2f(x) ----> divide both sides by 2

$\frac{x^{2} - 2}{2}$ = f(x) ----> switch the order for formatting sake.

f(x) = $\frac{x^{2} - 2}{2}$

6 0

3 years ago

What two numbers multiply to -126 and add up to -65

Airida [17]

Xy = -126
x + y = -65

$xy = -126$
$\frac{xy}{x} = \frac{-126}{x}$
$y = \frac{-126}{x}$

$x + y = -65$
$x + \frac{-126}{x} = -65$
$\frac{x^{2}}{x} + \frac{-126}{x} = -65$
$\frac{x^{2} - 126}{x} = -65$
$-65x = x^{2} - 126$
$0 = x^{2} + 65x - 126$
$x = \frac{-(65) \+ \sqrt{(65)^{2} - 4(1)(-126)}}{2(1)}$
$x = \frac{-65 \± \sqrt{4225 + 504}}{2}$
$x = \frac{-65 \± \sqrt{4729}}{2}$
$x = \frac{-65 \± 68.8}{2}$
$x = \frac{-65 + 68.8}{2}$ $or$ $x = \frac{-65 - 68.8}{2}$
$x = \frac{3.8}{2}$ $or$ $x = \frac{-133.8}{2}$
$x = 1.9$ $or$ $x = -66.9$

x + y = -65
  1.9 + y = -65
- 1.9   - 1.9
y = -66.9
  (x, y) = (1.9, -66.9)

or

  x + y = -65
  -66.9 + y = -65
+ 66.9 + 66.9
y = 1.9
  (x, y) = (-66.9, 1.9)

The two numbers that add up to -65 and can multiply to -126 are the numbers -66.9 and 1.9.

3 0

3 years ago

How many pounds are in<br> 8 kilograms? 1 kg = 2.2 lbs<br><br> 8 kg = [?] lbs

ElenaW [278]

Answer:

17.6 lbs

Step-by-step explanation:

1kg=2.2lbs

Multiply each side by 8

8kg=17.6 lbs

5 0

3 years ago

Read 2 more answers

A horse farm is developing a new indoor arena in a rectangular buliding. They want the width of the building to be 3 wide feet a

erastovalidia [21]

Answer:

The area of the building in terms of y in its simplest form is 12(y + 2)

Step-by-step explanation:

Since the area of a rectangle is A = LW where L = length and W = width. From our question, the width of the rectangular building is 3 feet. So, W = 3 feet and its length is 4y + 8 feet. So, L = 4y + 8 feet.

So, the area of the building in terms of y is A = LW

= (4y + 8) × 3

Factorizing out 4 from the expression, we have

= 4(y + 2) × 3

= 12(y + 2)

So, the area of the building in terms of y in its simplest form is 12(y + 2)

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3 years ago

1. Your average daily balance on your charge card for the month of July is $855.28. If your card carries an annual interest rate

Nat2105 [25]

1. Using "exact" interest, your charge will be
.. I = Prt
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.. I = $11.19

2. It will take 52.01 months to pay off the loan.

3. Your payment on 15,250 for 4 years will be $363.41. The effective interest rate that payment represents on a loan of $15,000 is 7.604%

4. Todd's monthly payments will be $409.06, so his total outlay will be
.. tax+license + down payment + loan repayment
.. = 1200 +1000 +48*409.06
.. ≈ $21,835

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3 years ago