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choli [55]
3 years ago
12

The vertex form of the equation of a parabola is y=(x+3)^2+53 What is the standard form of the equation.

Mathematics
2 answers:
Pavel [41]3 years ago
3 0

Answer:

The standard form of the parabola y = x² + 6x + 62

Step-by-step explanation:

<u><em>Explanation</em></u>

Given that the parabola equation in vertex form

       y = ( x+3)² + 53

      y = x² + 6 x + 9 +53

     y = x² + 6x + 62

The standard form of the parabola y = a x ² + b x + c

The standard form of the parabola y = x² + 6x + 62

viktelen [127]3 years ago
3 0

Answer:

y = x² + 6x + 62

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In Wellington, a city of 360,000 citizens, there has been an outbreak of vampires and werewolves There are 3,000 people infected
Alex17521 [72]

Answer:

0.0286 or 2.86%

Step-by-step explanation:

The total number of people that have werewolfism is 21,000.

Of those 21,000, 600 also have vampirism, while the remaining 20,400 do not. Therefore, the probability that someone has vampirism, given that they have werewolfism is:

P(V|W)=\frac{N_{V\cap W}}{N_W}\\P(V|W)=\frac{600}{21,000} \\P(V|W)=0.0286=2.86\%

The probability is 0.0286 or 2.86%.

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3 years ago
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 4 . If there were
Kamila [148]
If there were 5 yes votes for every 4 no votes, there were 5 yes votes for every 9 total votes, so 5/9 of the 7911 votes were yes.  5/9*7911=4395.
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3 years ago
Given the following diagram, find the required measure.
Zielflug [23.3K]

Answer:

∠ 5 = 40°

Step-by-step explanation:

∠ 1 and ∠ 2 are adjacent angles and supplementary, thus

∠ 2 = 180° - ∠ 1 = 180° - 140° = 40°

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∠ 5 = 40°

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3 years ago
Find the slope of the line that contains (6,-4) and (-4,-4)
frez [133]

Answer:y = -4

Step-by-step explanation: In order to find the slope by these two points, (6,-4), and (-4,-4), you must use the slope formula:

rise/run, which is this case, is y2-y1 / x2 - x1 <--- this is the slope formula

Let 6 be x2, -4 be x1, y2 be -4, and y1 being -4, plug these numbers in.

-4-(-4) / 6- (-4)

-4 + 4/ 6 +4

0/10 The slope of the line is zero, with a y-axis at -4. We know this because there is a zero in the final result and the y- coordinate between (6,-4) and (-4,-4) do not change in the slightest.

The final answer is then y = -4

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3 years ago
On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in mile
lions [1.4K]

Complete question :

On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?

Answer:

1.6 hours

Step-by-step explanation:

Given the function :

Time t taken for flying distance d is given by:

t = 1/500 * d

Tine taken to fly 800 miles;

d = 800 miles

t = 1/500 * (800)

t = 800 / 500

t = 1.6

Hence, time t = 1.6 hours

3 0
3 years ago
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