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Mazyrski [523]
4 years ago
6

If the graph of the following parabola is shifted four units right and three units down, what is the resulting equation in verte

x form? x=4y^2
Mathematics
1 answer:
AURORKA [14]4 years ago
8 0

ANSWER

The resulting parabola in vertex form is:

(x - 4) = 4( {y  + 3)}^{2}

EXPLANATION

The original equation of the parabola is given as

x = 4 {y}^{2}

This parabola has its vertex at the origin.

If the graph of this parabola is shifted four units right and three units down, then the new equation is:

(x - 4) = 4( {y  + 3)}^{2}

This the equation of the transformed parabola.

Its vertex is now at (4,-3).

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Tim is running extremely late and has just 5 minutes to return his rental car to the agency. The fuel tank in the car is half em
Whitepunk [10]

Answer:

B

Step-by-step explanation:

Although this problem is quite long and exhausting, it is deceptively simple.

We know that his 12-gallon fuel tank is only half full, so we know that the car needs 6 more gallons of fuel.

If he turns in the car late, he will have to pay y = 2.59x + 32.00, where x is the number of empty gallons (in this case, 6)

In this case, he will pay 2.59(6) + 32.00 = $47.54

If he turns in the car on time, he will have to pay y = 4.50x + 5.00, where x is the number of empty gallons (still 6).

In this case, he will pay 4.50(6) + 5.00 = $32.00

Using these results, we know that B must be true.

4 0
3 years ago
What is the area of the square adjacent to the third side of the triangle?
lana66690 [7]

Answer:

The area of the square adjacent to the third side of the triangle is 11 units²

Step-by-step explanation:

We are given the area of two squares, one being 33 units² the other 44 units². A square is present with all sides being equal, and hence the length of the square present with an area of 33 units² say, should be x² = 33 - if x = the length of one side. Let's make it so that this side belongs to the side of the triangle, to our convenience,

x² = 33,

x = \sqrt{33} .... this is the length of the square, but also a leg of the triangle. Let's calculate the length of the square present with an area of 44 units². This would also be the hypotenuse of the triangle.

x² = 44,

x = \sqrt{44} .... applying pythagorean theorem we should receive the length of a side of the unknown square area. By taking this length to the power of two, we can calculate the square's area, and hence get our solution.

Let x = the length of the side of the unknown square's area -

\sqrt{(44)}^2 = x^2 + \sqrt{33}^2,

x = \sqrt{11} ... And \sqrt{11} squared is 11, making the area of this square 11 units².

3 0
4 years ago
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what is length of a rectangle that has a width of 2.5 centimeters and an area of 20.5 square centimeters?
lisov135 [29]
Area formula is = lx b

Whete we lnow area and width so

We can easily find out length

20.5 = 2.5 × l

l = 20.5 / 2.5

Length = 8.2 cm answer


Mark as brainliest if possible
8 0
3 years ago
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A sporting goods store has added a section with trail foods and snacks. Raisins cost $5.00 per pound and peanuts cost $3.80 per
Alexxx [7]
HI THERE!
i can help you  :) 
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 let the number of raisins (in pounds) be R and the number of peanuts  (in pounds be p. 

since the bag is 30 pounds, so R+P =30
the total cost of the bag is 30 pounds* 4.05 per pound = $121.50 .
now we can use the per-pound costs to write an equation  . . . 
5R+3.8P=121.5 

Now just solve that first equation. . (R+P=30)  for R. R= 30- P


now use that to substitute in the other equation 
5R+3.8P=121.5
5(30-p) + 3.8P=121.5
solve for p
150- 5P+ 3.8p = 121.5
150-1.2p=121.5
150-1.2p=121.5 
-1.2p=-28.5
P=23.75 

now use that to find r
R+p =30 
r+23.75=30
R=6.25 



(hope this helps sorry it took so long to type )
have a good day !


 





  
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seropon [69]

Answer:

45

Step-by-step explanation:

it will take 45 minutes for 6 people to water a garden

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3 years ago
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