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3 years ago

Which is the answer ?

Mathematics

1 answer:

erik [133]3 years ago

4 0

Answer:

(a) y = ±(√x)/2

Step-by-step explanation:

You want to find y such that ...

x = f(y)

x = 4y^2 . . . . . . . put in the expression for f(y)

x/4 = y^2 . . . . . . .divide by 4

±√(x/4) = y . . . . . take the square root

y = ±(√y)/2 . . . . . simplify

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Write the equation in standard form. Identity the center and radius.<br> x² + y2 + 8x-4y-7=0

lorasvet [3.4K]

Answer:

equation;

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

Center (-4,2)

Radius is

$3 \sqrt{3}$

Step-by-step explanation:

Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

$(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2}$

Where (h,k) is center

r is the radius

So first we group like Terms together

${x}^{2} + 8x + {y}^{2} - 4y - 7 = 0$

Add 7 to both sides

${x}^{2} + 8x + {y}^{2} - 4y = 7$

$( {x}^{2} + 8x) +( {y}^{2} - 4y) = 7$

Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

$(\frac{8}{2} ) {}^{2} = 16$

and

$( - \frac{4}{2} ) {}^{2} = 4$

so we have

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 7 + 16 + 4$

${x}^{2} + 8x + 16 + {y}^{2} - 4y + 4y = 27$

$(x + 4) {}^{2} + (y - 2) {}^{2} = 27$

To find our center, h is -4 and k is 2

so the center is (-4,2)

The radius is

$\sqrt{27} = 3 \sqrt{3}$

So the radius is 3 times sqr root of 3.

8 0

2 years ago

Find the inverse of the following function.

Naddik [55]

For this case we must find the inverse of the following function:

$f (x) = 8 \sqrt {x}$

For this, we follow the steps below:

We change f (x) to y:

$y = 8 \sqrt {x}$

We exchange the variables:

$x = 8 \sqrt {y}$

We solve for y:

$8 \sqrt {y} = x$

We divide between 8 on both sides of the equation:

$\sqrt {y} = \frac {x} {8}$

We raise both sides of the equation to the square to remove the root:

$y = (\frac {x} {8}) ^ 2\\y = \frac {x ^ 2} {64}$

So, the inverse is: $f ^ {- 1} (x) = \frac {x ^ 2} {64}$

ANswer:

Option C

3 0

3 years ago

What is the lateral surface area on a square pyramid with base edges of 10 and the height of 12

8_murik_8 [283]

Answer:

joe mama

Step-by-step explanation:

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3 years ago

What is 3157 with the 1 being underlined rounded to the nearest 10 or hundred

RUDIKE [14]

Answer:100

Step-by-step explanation:

8 0

3 years ago

Plsssssss helpppp meeeeeeee I need the procedure and the correct answer plssssssss helppppp

Mumz [18]

Circumference of a circle is 2(pi)(r)
2(3.14)(7)= 43.96
So the answer is B

8 0

3 years ago