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bezimeni [28]
3 years ago
10

find the equation of parabola when point of intersection of directrix and axis is at (0,4) and focus at (6,4) ​

Mathematics
1 answer:
Allushta [10]3 years ago
6 0

Answer:

Find the coordinates of the point of intersection of the axis and the directrix of the parabola whose focus is (3,3) and directrix is 3x−4y=2. Find also the length of the latus-rectum.

Step-by-step explanation:

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Write a word problem for the equation. <br> 1/2 (x-4) = 1/3x + 2
Ganezh [65]

Answer:

Half the age of Carlos four years ago is 2 years more than one-third his current age.

Step-by-step explanation:

We want to write a word problem for the equation.

\frac{1}{2} (x - 4) =  \frac{1}{3}x + 2

Let x represent the present age of Carlos.

Four years ago, Carlos was x-4 years.

Half his age four years ago is ½(x-4)

Two years more than one-third his current age is ⅓x+2

3 0
3 years ago
What is the opposite of the opposite of a negative?
borishaifa [10]

Answer: A negative

Step-by-step explanation:

The opposite of a negative is positive, the opposite of a positive is a negative.

8 0
3 years ago
Lake Michigan's volume is approximately 1,180 cubic miles and its surface area is approximately 14,332,090 acres. The 2015 water
galben [10]

Answer:

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

         = 624,305,840,400 \times  0.9167  

         = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

      = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

      =  0.0033

      = 0.33%

Step-by-step explanation:

i) acres to square feet :    1 acre = 43560 square feet

  therefore 14,332,090 acres  = 624,305,840,400 square feet

ii) 1 mile  = 5280 feet

   1 cubic mile  = 5280 \times 5280 \times 5280 = 147,197,952,000 cubic feet

therefore 1180 cubic miles  = 173,693,585,360,000 cubic feet

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

    = 624,305,840,400 \times  0.9167   = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

  = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

   =  0.0033

  = 0.33%

7 0
3 years ago
Which expression shows the result of applying the distributive property to 7(x + 1 Which expression shows the result of applying
Lunna [17]

Answer:7 + 11x

Step-by-step explanation: you add your letter and number that were in the brackets the since 7 has no number the equation would end and become 7+11x

3 0
2 years ago
lucy took three tests. if her median score was 82 her mean score 87 and her range was 17 what were three scores
Tatiana [17]
Her scores would be 98, 82, and 81. Their sum would be 261 then you would divide it be 3 and it would give you 87 then to find the median line the numbers up from greatest to least and 82 would be in the middle. To find the range subtract 81 from 98 and it gives you 17. Did this help?
3 0
3 years ago
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