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Svetlanka [38]
2 years ago
7

A map has a scale of 1 cm : 9 km. If two cities are 2 centimeters apart on the map, what is the actual distance between the citi

es?
Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
7 0

Answer:

18 kilometers

Step-by-step explanation:

If each 1 cm represents 9 kilometers.

How many would 2 cm represent?

x =  \frac{9 \times 2}{1}  = 9  \times 2 = 18

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Factor the expression completely.
evablogger [386]

Answer:

Factoring the expression xy^4+x^4y^4 completely we get \mathbf{xy^4(x+1)(x^2-x+1)}

Step-by-step explanation:

We need to factor the expression xy^4+x^4y^4 completely

We need to find common terms in the expression.

Looking at the expression, we get xy^4 is common in both terms, so we can write:

xy^4+x^4y^4\\=xy^4(1+x^3)

So, taking out the common expression we get: xy^4(1+x^3)

Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:

a^3+b^3=(a+b)(a^2-ab+b^2)

So, we get:

xy^4(1+x^3)\\=xy^4(x^3+1)\\Applying\:the\:formula\;of\:a^3+b^3\\=xy^4(x+1)(x^2-x+1)

Therefor factoring the expression xy^4+x^4y^4 completely we get \mathbf{xy^4(x+1)(x^2-x+1)}

6 0
3 years ago
Please help with problem !!!
True [87]

Answer:

Step-by-step explanation:

y = 2x^2 - 12x +19                Put brackets around the  1st 2 terms. Take 2

y = 2(x^2 - 6x ) + 19             Take 1/2 of the 6 square it and add inside the brackets

y = 2(x^2 - 6 + (6/2)^2) +19 Subtract 2 *9 from the 19. Express 1st 3 terms as ( )^2

y = 2(x- 3)^2 + 19 - 18

y = 2(x - 3)^2 + 1

Answers

y intercept when x = 0 is y = 19

axis of symmetry x = 3

vertex: (3,1)

Graph

graph: red

axis of symmetry: blue

y intercept, vertex: green

7 0
3 years ago
Find the surface area of a sphere with a diameter of 30 m. Express your answer in terms of π.
shutvik [7]

Answer:

900π m2

Step-by-step explanation:

surface are of a sphere is 4π(r)^2

now diameter is 30m,so radius will be 15 m

how, 4π(15)^2=900π (m2)

8 0
3 years ago
Which relation is also a function? {(2,0), (3,2), (2,3)} {(0,0), (3,0), (5,0)} {(3,1), (3,2), (3,3)} {(5,2), (5,4), (2,6)}
pychu [463]

Answer:

only{(0,0), (3,0), (5,0)}    (the x axis)

Step-by-step explanation:

as all the others have more than one possible output y for a unique input x

4 0
3 years ago
Convert 7/16 to a percent
finlep [7]

Answer:

43.75%

Step-by-step explanation:

6 0
3 years ago
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