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EastWind [94]
3 years ago
6

Write the quadratic function for the parabola having vertex(4,2) and passing through the point (1,11)

Mathematics
1 answer:
Zigmanuir [339]3 years ago
3 0
So the function we are looking for should look like f(x)=a(x-1)2-2, and since the parabola passes through (4,5), we have 5=a(4-1)2-2, which means 5=9a-2, so a = (7/9) and f(x) = (7/9)(x-1)2-2.
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A carpenter uses 65 shelves to make 13 bookcases. She uses the same number of shelves for each bookcase.
ch4aika [34]

First, we would need to figure out how many shelves are needed to build 1 bookcase. To do that, you would need to divide the number of shelves by the number of bookcases it can make.

65 ÷ 13 = 5

Now we know, it takes 5 shelves to build a single bookcase.  The next step would be to find out how many shelves it would take to build 6 more bookcases.  To find the answer, you would multiply the number of shelves it takes to build 1 bookcase by the number of bookcases that need to be built.

5 x 6 = 30

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7 0
3 years ago
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What is the answer to this problem? Ignore the work. What is the correct answer?
yan [13]

Answer:

c = 42.5

Step-by-step explanation:

The legs of the triangle are a and b and the hypotenuse is c

Let a be the shorter leg

The hypotenuse is 5 more than the longest leg

c = b+5

The shortest leg is 20

a = 20

We can use the Pythagorean theorem

a^2 +b^2 = c^2

Substituting in what we know from above

20 ^2 + b^2 = (b+5)^2

FOIL  (b+5)^2 = b^2 +5b+5b +25 = b^2+10b+25

400 + b^2 = b^2+10b+25

Subtract b^2 from both sides

400+b&2-b^2 = b^2 -b^2 +10b+25

400 = 10b+25

Subtract 25 from both sides

400-25 = 10b+25-25

375 = 10b

Divide by 10

375/10 = 10b/10

37.5 = b

But we want to find c

c=b+5

c = 37.5+5

c = 42.5

6 0
3 years ago
10 is 5% of what number
Tcecarenko [31]
The number  is  200 . 
10 is 5% of 200
8 0
3 years ago
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Lostsunrise [7]

easy 214.7 because if it was rounded it would be 214.700 an this is way bigger than 214.275

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The 2nd one. Elsa should subtract the numerators instead of adding them carson’s pumpkin weighs 1/4 pound
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