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natima [27]
3 years ago
15

Ratio of the change in an amount to the original amount expressed as a percent.

Mathematics
1 answer:
kondor19780726 [428]3 years ago
8 0
That ratio is the percent of change.
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Write an equation for a parabola with a focus of (1,-2) and a directrix of y=6
FinnZ [79.3K]

Answer:

y = - \frac{1}{16}(x - 1)² + 2

Step-by-step explanation:

Any point (x, y) on the parabola is equidistant from the focus and the directrix.

Using the distance formula

\sqrt{(x-1)^2+(y+2)^2^} = | y - 6 |

Square both sides

(x - 1)² + (y + 2)² = (y - 6)² ( expand the factors in y )

(x - 1)² + y² + 4y + 4 = y² - 12y + 36 ( subtract y² - 12y from both sides )

(x - 1)² + 16y + 4 = 36 ( subtract 4 from both sides )

(x - 1)² + 16y = 32 ← subtract (x - 1)² from both sides )

16y = - (x - 1)² + 32 ( divide all terms by 16 )

y = - \frac{1}{16} (x - 1)² + 2

8 0
3 years ago
Tell how you can critique Jason reasoning
NeTakaya
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4 0
3 years ago
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What is 2/5 × 3/18? trying to determine my teachers abilty.​
Korvikt [17]

Answer:

1/15

Step-by-step explanation:

3 0
3 years ago
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How many quarts, rounded to the nearest tenth, are in 50 liters?
valkas [14]

Answer: 52.9 quarts

Step-by-step explanation:

From the question, we are informed to calculate the number of quarts that are in 50 liters.

1 liter = 1.057 liquid quarts

50 liters will now be:

= 50 × 1.057

= 52.85

= 52.9 quarts

4 0
3 years ago
Please Hurry) What is the length of side AC of the triangle? □ units. ​
NARA [144]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

\boxed{\mathrm{AC = 25 \:\: units ~}}

\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}

As we can see in the given figure, Angles A and B are equal. therefore their opposite sides will be equal to one another, that is ~

  • AB = BC

now, let's plug the values of AB and BC in terms of x and equate them to find the value of x ~

  • 5x + 5 = 7x - 1

  • 7x - 5x  = 5 + 1

  • 2x = 6

  • x = 6 \div 2

  • x = 3 \:  \: units

now , let's find the measure of side AC ~

  • AC = 6x + 7

that is ~

  • 6(3) + 7

  • 18 + 7

  • 25 \:  \: units

8 0
3 years ago
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