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3 years ago

1) Red City is 6 cm away from Blue City on a map but the two cities are actually 240 miles

1 answer:

6 0

You divide 240 miles by 6 cm so you can figure out how many miles are in each centimeter. So 240/6=40 miles. The scale is for every one centimeter, that is 40 miles.

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Divide using long division. check your answers. 1. (x 3 – 13x 2 + 7x – 48) ÷ (x 2 + 3) 3. (x 3 + 5x 2 – 3x – 1) ÷ (x – 1) 5. (x

artcher [175]

1. We can conclude that the result of the division is $x-13$ with a remainder of $4x-9$ , or in other notation: $x-13+ \frac{4x-9}{x^2+3}$ . Check the steps in the first image.

3. We can conclude that the result of the division is $x^{2} +6x+3$ with a remainder of 2, or in other notation: $x^{2}+6x+3+ \frac{2}{x-1}$ . Check the steps in the firts image.

5. We can conclude that the result of the division is $x+1$ with a remainder of 5, or in other notation: $x+1+ \frac{5}{x-4}$ . Check the steps in the first image.

7. To check if $x+4$ is a factor of $x^{3}+3x^{2}-10x-24$ , we are going to perform long division. If the result of the long division has no remainder, $x+4$ is a factor of $x^{3}+3x^{2}-10x-24$ .
Since the result of the long division has no remainder, we can conclude that $x+4$ is a factor of $x^{3}+3x^{2}-10x-24$ . Check the steps in the second image.

9. To check if $x-3$ is a factor of $x^{3}+3x^{2}-10x-24$ , we are going to perform long division. If the result of the long division has no remainder, $x-4$ is a factor of $x^{3}+3x^{2}-10x-24$ .
Since the result of the long division has no remainder, we can conclude that $x-4$ is a factor of $x^{3}+3x^{2}-10x-24$ . Check the steps in the third image.

10. We can conclude that the result of the synthetic division is $-2x^{2}+9x+5$ . Check the steps in the fourth image.

3 0

3 years ago

20 1/3 + x = -9 round your answer to the nearest hundredth

nadya68 [22]

Answer:

I would think it's X= -29 1/3

Step-by-step explanation:

You have 20 1/3 already, and to get to a negative when you have a positive number, to the positive you would need to add a larger negative. (If that makes any sense, it's hard to explain.) So you have to get rid of the 20 1/3 and you have to get to -9, so I would add a 9 to 20 1/3 to get 29 1/3, and make that number negative because then it will cancel the positive out. Making it -9.

3 0

3 years ago

Computer battery A has 4/5 of its power remaining. Computer battery B has 9/20 of its power remaining. How much more power does

zhuklara [117]

Answer:

7/20

Step-by-step explanation:

GIven:

Battery A = 4/5 remaining

Battery B = 9/20 remaining

assuming both batteries are otherwise identical (except for charge level remaining), then,

Battery A - Battery B

= 4/5 - 9/20

we need to convert both fractions to same denominator to perform the subtraction easily. Note that the Least Common Multiple for 5 and 20 is 20, hence we convert both denominators to 20,

Battery A - Battery B

= 4/5 - 9/20

= (4/5) (4/4) - 9/20

= 16/20-9/20

= 7/20

7 0

3 years ago

Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (−1, 0).

Hitman42 [59]

<span>The two points that are most distant from (-1,0) are exactly (1/3, 4sqrt(2)/3) and (1/3, -4sqrt(2)/3) approximately (0.3333333, 1.885618) and (0.3333333, -1.885618) Rewriting to express Y as a function of X, we get 4x^2 + y^2 = 4 y^2 = 4 - 4x^2 y = +/- sqrt(4 - 4x^2) So that indicates that the range of values for X is -1 to 1. Also the range of values for Y is from -2 to 2. Additionally, the ellipse is centered upon the origin and is symmetrical to both the X and Y axis. So let's just look at the positive Y values and upon finding the maximum distance, simply reflect that point across the X axis. So y = sqrt(4-4x^2) distance is sqrt((x + 1)^2 + sqrt(4-4x^2)^2) =sqrt(x^2 + 2x + 1 + 4 - 4x^2) =sqrt(-3x^2 + 2x + 5) And to simplify things, the maximum distance will also have the maximum squared distance, so square the equation, giving -3x^2 + 2x + 5 Now the maximum will happen where the first derivative is equal to 0, so calculate the first derivative. d = -3x^2 + 2x + 5 d' = -6x + 2 And set d' to 0 and solve for x, so 0 = -6x + 2 -2 = -6x 1/3 = x So the furthest point will be where X = 1/3. Calculate those points using (1) above. y = +/- sqrt(4 - 4x^2) y = +/- sqrt(4 - 4(1/3)^2) y = +/- sqrt(4 - 4(1/9)) y = +/- sqrt(4 - 4/9) y = +/- sqrt(3 5/9) y = +/- sqrt(32)/sqrt(9) y = +/- 4sqrt(2)/3 y is approximately +/- 1.885618</span>

7 0

4 years ago

What is 1/7 of 28% of 8,000

iogann1982 [59]

Answer:

320

Step-by-step explanation:

A=1/7 * .28 *8000 = 320

3 0

3 years ago

Read 2 more answers