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3 years ago

If the coefficient a in the general quadratic equation is equal to 9, what is the focal length for the

Mathematics

1 answer:

lutik1710 [3]3 years ago

5 0

Answer:

Step-by-step explanation:

Let the equation of a parabola be

$y^{2}$ = 4ax.

Then , focal length of the parabola is a.

As , (0,0) is the vertex and its focus is (a,0)

Thus, focal length comes out to be a.

Here,

a is given as 9 units .

Thus focal length of the parabola, d, equals to 9 units

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The sides of a triangle measure 10 feet, 13 feet, and 17 feet.

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This set of points is on the graph of a function.

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3 years ago

1. Given the below sequence: -1, -3, -5, -7, . . . (a) What are the next 3 terms? (b) Is this an arithmetic or geometric sequenc

valentinak56 [21]

Answer:

(a) -7 , - 9 , - 11

(b) Arithmetic sequence

(d) -53

Step-by-step explanation:

(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :

check :

-3 - (-1) = -5 - (-3) = -7 - (-5) = -2

This means that there is a common difference of -2 , which means it is an arithmetic sequence.

The next 3 terms we are to find are: 5th term , 6th term and 7th term.

$t_{5}$ = a + 4d

$t_{5}$ = - 1 + 4 ( -2 )

$t_{5}$ = -1 - 8

$t_{5}$ = - 9

6th term = a +5d

$t_{6}$ = -1 + 5(-2)

$t_{6}$ = -1 - 10

$t_{6}$ = - 11

$t_{7}$ = a + 6d

$t_{7}$ = -1 + 6 (-2)

$t_{7}$ = -1 - 12

$t_{7}$ = -13

Therefore : the next 3 terms are : -9 , -11 , - 13

(b) it is an arithmetic sequence because there is a common difference which is -2

(d) $t_{27}$ = a + 26d

$t_{27}$ = -1 + 26 ( -2 )

$t_{27}$ = -1 - 52

$t_{27}$ = - 53

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3 years ago