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2 years ago

Which equation is the inverse of y = 9x² - 4?

Mathematics

1 answer:

Mila [183]2 years ago

4 0

Answer:

y = ± [ √(x+4) ] / 3

Step-by-step explanation:

1) To find the inverse of the function y = 9x2 – 4, exchange the variables x and y, and then solve for the new y.

2) Exchange of the variables: y = 9x^2 – 4 → x = 9y^2 – 4

3) Solve for y:

=> 9y^2 = x + 4

=> y^2=> y = ± [ √(x + 4) ] / 9

= > y = ± [ √(x + 4) ] / 3

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The value of x is 84°.

Solution:

Measure of intercepted arc = 168°

Measure of angle x = ?

Tangent-chord relationship:

If a tangent and a chord intersect at a point, then the measure of each angle formed is half of the measure of its intercepted arc.

$$\Rightarrow \angle x = \frac{1}{2}\times 168^\circ$

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3 years ago

$600 invested with compound interest at a rate of 4% per year for 10 years formula:M= P(1+i)^n

makkiz [27]

Answer: M = 2100$

Explanation:

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3 years ago

This soda can is going to be made from aluminum. How many square centimeters of aluminum are needed if the radius r = 3.5 cm and

kari74 [83]

208.81 square centimeters of aluminium are needed

Solution:

Given that,

Radius = 3.5 cm

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The surface area of cylinder is given by formula:

$A = 2 \pi r(h+r)$

Where "r" is the radius and "h" is the height of cylinder

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Thus 208.81 square centimeters of aluminium are needed

8 0

3 years ago

A line has a slope of 9 and a y-intercept of 2. What is its equation in slope-intercept form?

kakasveta [241]

Answer:

y=9x+2

Step-by-step explanation:

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3 years ago

Please help as soon as possibly with this math question will give brainlyest

vovikov84 [41]

This is the answer for ur question

5 0

3 years ago

Which equation is the inverse of y = 9x² - 4?​

Which equation is the inverse of y = 9x² - 4?