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3 years ago

Given f(x)=9-2x, if f(x)=19, find the value of x. Can some one help please?

Mathematics

2 answers:

ruslelena [56]3 years ago

8 0

Answer:

-5=x

Step-by-step explanation:

f(x)=9-2x when f(x)=19

19=9-2x

Subtract 9 from both sides

10= -2x

Divide both sides by -2 to isolate the variable

-5=x

eimsori [14]3 years ago

6 0

Answer: -5

Step-by-step explanation: 19 -9 = 10. 10/-2 = -5

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which of the following expresses the coordinates of the foci of the conic section shown below? (x-2)^2/4+(y+5)^2/9

elena55 [62]

Step-by-step explanation:

$\frac{(x - 2) {}^{2} }{4} + \frac{(y + 5) {}^{2} }{9} = 1$

This is the equation of the ellipse. Since the denominator is greater for the y values, we have a vertical ellipse. Remember a>b, so a

The formula for the foci of the vertical ellipse is

(h,k+c) and (h,k-c).

where c is

Our center (h,k) is (2, -5)

${c}^{2} = {a}^{2} - {b}^{2}$

Here a^2 is 9, b^2 is 4.

${c}^{2} = 9 - 4$

${c}^{2} = 5$

$c = \sqrt{5}$

So our foci is

$(2, - 5 + \sqrt{5} )$

and

$(2, - 5 - \sqrt{5} )$

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