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Citrus2011 [14]
3 years ago
10

on a map, two cities measure 6.2 cm apart. If the scale of the map is 5 cm per 10 miles, then how many miles apart are the citie

s
Mathematics
1 answer:
miss Akunina [59]3 years ago
8 0

The cities are 12.2 miles apart

<u>Step-by-step explanation:</u>

The scale of the map is,

5cm = 10 miles

The distance between the 2 cities in map is 6.2 cm

The actual distance between the 2 cities = (6.2 x 10) / 5

= 62/5

= 12.4

The 2 cities are 12.4 miles apart.

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qwelly [4]

Answer:

355

Step-by-step explanation:

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4 0
3 years ago
How to find the x-intercepts of a parabola from the vertex, (-1,-108) and the y intercept (0,-105)?
Ulleksa [173]

Answer:

* The x-intercepts are -7 and 5

Step-by-step explanation:

* At first lets revise the standard and general forms of the

 quadratic function which represented graphically by the parabola

- f(x) = a(x - h)² + k ⇒ standard form

- Where point (h , k) is the vertex of the parabola

- f(x) = ax² + bx + c ⇒ general form

- Where a, b, c are constant

- c is the y-intercept ⇒ means x = 0

- h = -b/2a

- k = f(h)

* Lets solve the problem

- We will find the equation of the parabola

∵ The vertex is (-1 , -108)

∴ h = -1 and k = -108

∵ y-intercept = -105

- Equate the two forms

∵ ax² + bx + c = a(x - h)² + k ⇒ solve the (   )²

∴ ax² + bx + c = a(x² - 2hx + h²) + k ⇒ open the bracket

∴ ax² + bx + c = ax² - 2ahx + ah² + k ⇒ by comparing the two sides

∴ c = ah² + k

- Substitute the value of c , h , k in it

∴ -105 = a(-1)² + -108

∴ -105 = a - 108 ⇒ add 108 to the both sides

∴ 3 = a

- Lets write the equation in the standard form

∴ y = 3(x - -1)² + -108

∴ y = 3(x + 1)² - 108

* To find the x-intercepts means the parabola intersects the x-axis,

  then put y = 0

∴ 3(x + 1)² - 108 = 0 ⇒ Add 108 to the both sides

∴ 3(x + 1)² = 108 ⇒ divide the both sides by 3

∴ (x + 1)² = 36 ⇒ take square root for both sides

∴ (x + 1) = ± 6

# x + 1 = 6  OR x + 1 = -6

∵ x + 1 = 6 ⇒ subtract 1 from both sides

∴ x = 5

∵ x + 1 = -6 ⇒ subtract 1 from both sides

∴ x = -7

* The x-intercepts are -7 and 5

∴

3 0
3 years ago
On the real number line the origin is assigned the number​ ___.
Murrr4er [49]

Answer:

0

Step-by-step explanation:

The points on a number line are called coordinates. The zero point is called the origin. The numbers to the right of the origin are positive numbers; the numbers to the left of the origin are negative numbers.

4 0
3 years ago
Read 2 more answers
Kelly pays $25/sweater wholesale.find the salling price if her mark-up is 65%?
gladu [14]
This is another way of saying what is 165% of 25, because 65% of the sweater is the markup, and you add the markup to the whole sale.
165% is 1.65 in decimal form, so1.65*25=41.25
41.25 is your answer
3 0
3 years ago
Find two numbers if their sum is 91 and the ratio is 6:7.
Oduvanchick [21]
6:7....added = 13

6/13(91) = 564/13 = 42
7/13(91) = 637/13 = 49

ur 2 numbers are : 42 and 49
4 0
3 years ago
Read 2 more answers
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