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3 years ago

11

A scale map says that 1 cm represents 10 km. What distance on the map (in centimeters) represents an actual distance of 360 km?

1 answer:

castortr0y [4]3 years ago

8 0

Answer:

36 cm

Step-by-step explanation:

1cm = 10 km

360km/10km=36

1x36=36

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19 dollars Is the answer I think

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An airplane flies from City 1 at (0, 0) to City 2 at (33, 56) and then to City 3 at (23, 32). What is the total number of miles

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Answer:

The airplane flies 95 miles.

Step-by-step explanation:

First we need to find the distance for the first segment using the formula for distance $D=\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}$ . Let's say $(x_{1},y_{1})$ is (0, 0) and $(x_{2},y_{2})$ is (33, 56). This gets us that the length of this segment is 65 miles.
Next, we need to find the distance for the second segment. Using the same formula for distance $D=\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}$ , we can say $(x_{1},y_{1})$ is now (33, 56) and $(x_{2},y_{2})$ is now (23, 32). This gets us that the length of this segment is 26 miles.
To get the total distance traveled, add the length of these two segments together (65 miles + 26 miles) to get 91 total miles traveled.

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The side length of an equilateral triangle is 6 cm. What is the height of the triangle? StartFraction 3 Over StartRoot 3 EndRoot

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3 years ago

Factor the greatest common factor from the polynomial 3x^2 + 6x -9

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Answer:

$3(x+3)(x -1)$

Step-by-step explanation:

$3x^2 + 6x -9$

All the terms in this polynomial are divisible by 3. Factor 3 out of this polynomial:

$= 3(x^2 + 2x -3)$

Now, factor inside the parentheses by grouping:

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

We knew to split the +2x up into -1x and 3x because -1 and 3 multiply to get -3, which is the last value in the polynomial.

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Therefore, the final factored polynomial is $3(x+3)(x -1)$ .

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2 years ago

What are the values of a, b and c in the quadratic equation -2x^2+4x-3=0?

AlladinOne [14]

Answer:

$a=-2\\b=4\\c=-3$

Step-by-step explanation:

In a quadratic equation in the Standard form

$ax^2+bx+c=0$

You need to remember that "a", "b" and "c" are the numerical coefficients (Where "a" is the leading coefficient and it cannot be zero: $a\neq0$ ).

You can observe that the given quadratic equation is written in the Standard form mentioned before. This is:

$-2x^2+4x-3=0$

Therefore, you can identify that the values of "a", "b" and "c" are the following:

$a=-2\\b=4\\c=-3$

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