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lisabon 2012 [21]
2 years ago
10

Pls help me answer the question and if you don't know, pls don't answer. thank you!

Mathematics
1 answer:
Damm [24]2 years ago
6 0
The answer is 162in2 to its orbit
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A parabola can be drawn given a focus of (8, 6) and a directrix of x=4. Write the equation of the parabola
Orlov [11]

Answer:

<em>The equation of the Parabola</em>

 <em>(y - 6 )² = 8 (x -6)</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given directrix  x = 4

we know that    x = h - a = 4

               h -a =  4  ...(i)

Given Focus  = ( 8,6)

we know that the Focus of the Parabola

         ( h + a , k ) = ( 8,6)

   comparing  h + a = 8 ...(ii)

                  k = 6

solving (i) and (ii) and adding

   h - a + h+ a = 8 +4

           2 h = 12

              h =6

   Put h = 6 in equation (i)

  ⇒     h - a =4

  ⇒   6 - 4 = a

  ⇒      a = 2

<u><em>Step(ii):-</em></u>

<em>The equation of the Parabola ( h,k) = (6 , 6)</em>

<em>( y - k )² = 4 a ( x - h )</em>

<em>(y - 6 )² = 4 (2) (x -6)</em>

<em>(y - 6 )² = 8 (x -6)</em>

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

3 0
2 years ago
A toy company intends to ship out its entire stock of 10,254 toy trucks, and three times as many toy cars. If each box holds 35
svetoff [14.1K]
There are 10,254 toy trucks

and 10,254 * 3 = 30,762 toy cars.

In total, there are 10,254+30,762= 41,016 toys 

when we divide 41,016 by 35, the quotient is the number of the full boxes, and the remainder is the number of toys left.

41,016=35*1171+31


Answer: 1171 full boxes, 31 toys left for the last box
6 0
3 years ago
Help me cuz I don’t understand that much help
maksim [4K]

Answer: 1:8

Step-by-step explanation:

First you add all of the candies together (so 18) then you see how many there are grape flavored (2), put them in a ratio (2:18) and simplify (1:8)

hope this helps :)

8 0
2 years ago
Read 2 more answers
b) In one year, Clara and Dave borrowed books from a library in the ratio 3:7. Dave borrowed 35 books. Work out the number of bo
tatiyna

3:7 =

3/7

3/7 = x/35

7x = 105

x = 15

answer : clara borrowed 15 books

7 0
1 year ago
Read 2 more answers
Please help i cannot get it ​
Lerok [7]
Pi symbol raised to the 3 times x raised to the 4
7 0
2 years ago
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