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SashulF [63]
4 years ago
9

On a scale drawing of Princeton, two landmarks are shown 2 centimeters apart. If the scale of the map is 1 centimeter : 35 kilom

eters, then what is the actual distance between the two landmarks?
Mathematics
1 answer:
tankabanditka [31]4 years ago
3 0

Answer:

  70 km

Step-by-step explanation:

2 cm is twice as much as 1 cm. So, the distance between landmarks will be twice as much as 35 km.

The actual distance is 70 km.

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Find the area of a rectangle having a perimeter of 182 yards and a width 20 yards shorter than twice its length
Studentka2010 [4]
Let the length be l in this equation.

We know that the perimeter of a rectangle is w2 + l2 = P

Width is defined in terms of length, so we know w = l2 - 20

We can substitute this value of w into the formula for perimeter to find the length.

(l2 - 20)2 + l2 = 182

l4 - 40 + l2 = 182

l4 + l2 = 222

l6 = 222

l = 37

So the length is 37. Now that we've found the length, we can go back to the Perimeter formula again and find width.

w2 + (37)2 = 182

w2 + 74 = 182

w2 = 108

w = 54

Width is 54. Now with both of these values found, we can calculate area with the formula l * w = A

37 * 54 = A

1998 = A

So the area of the rectangle is 1998 yards^2.
3 0
3 years ago
First, rewrite 16//21 and 7/9 so that they have a common denominator.
notka56 [123]

Answer:

Step-by-step explanation:

8 0
3 years ago
Which equation has no solution? *
Marianna [84]

Answer:

the first one

Step-by-step explanation:

the 4x's cancel out and 8 does not equal -14 so...

8 0
3 years ago
Help!!!!!<br> Suppose f(x) = x2. What is the graph of g(x) = f(3x)?
STALIN [3.7K]

Answer:

we conclude that g(x) = 9x² is the result of f(x) vertically stretched by multiplying each of its y-coordinates by 9.

Also, check the attached graph is matched with option B.

Hence, option (B) is the correct graph.

Step-by-step explanation:

Given

  • f(x) = x²
  • g(x) = f(3x)

so

  • g(x) = (3x)² = 9x²

Thus, the graph of g(x) = 9x² is shown below.

From the graph, it is clear that at x = 0, y = 0

So, the y-intercept is at (0, 0).

Clearly

  • f(x) = x²
  • g(x) = 9x²

Note that the vertex of the graph also lies at (0, 0), because it is clear that g(x) = 9x² is the result of f(x) vertically stretched by multiplying each of its y-coordinates by 9.

Since 9 > 0, it means g(x) = 9x² is vertically stretched by multiplying each of its y-coordinates by 9.

Therefore, we conclude that g(x) = 9x² is the result of f(x) vertically stretched by multiplying each of its y-coordinates by 9.

Also, check the attached graph is matched with option B.

Hence, option (B) is the correct graph.

7 0
3 years ago
9.
liberstina [14]
The answer would be A (3/2)
4 0
3 years ago
Read 2 more answers
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