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3 years ago

Factor the following polynomial completely. -x^2y^2 + x^4 + 9y^2 - 9x^2

Mathematics

1 answer:

castortr0y [4]3 years ago

3 0

See attached picture for answer:

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Which two transformations must be applied to the graph of y = ln(x) to result in the graph of y = –ln(x) + 64?

stiks02 [169]

Answer: A) reflection over the x-axis, plus a vertical translation

Step-by-step explanation:

Ok, when we have a function y = f(x)

> A reflection over the x-axis changes a point (x, y) to a point (x, -y), then for a function (x , y = f(x)) the point will change to (x, -y =- f(x))

then for a funtion g(x), this tranformation can be written as h(x) = -g(x).

> A vertical translation of A units (A positive) up for a function g(x) can be written as: h(x) = g(x) + A.

Then in this case we have:

y = g(x) = ln(x)

and the transformed function is h(x) = -ln(x) + 64

Then we can start with h(x) = g(x)

first do a reflection over the x-axis, and now we have:

h(x) = -g(x) = -ln(x)

And now we can do a vertical translation of 64 units up

h(x) = -g(x) + 64 = -ln(x) + 64

Then the correct option is:

A) reflection over the x-axis, plus a vertical translation

3 0

3 years ago

Q # 6 please solve the equation

nevsk [136]

The answer is 314,000,000 ft^2

pi r^2

3.14* 10,000^2

3.14*100,000,000

314,000,000

6 0

4 years ago

2(x + 4) - 5 = 3x + 3

OverLord2011 [107]

Answer:

x=0

Step-by-step explanation:

2(x+4)- 5 = 3x+3

Distribute

2x+8-5 = 3x+3

Subtract x values

8-5 = x+3

3 = x+3

Final Subtraction

x = 0

3 0

3 years ago

Read 2 more answers

Henry's current age is 10 times Justin's current age. In 6 years Henry's age will be 4 times Justin's age. Which system of equat

Anna11 [10]

The answer is C: H=10J
H+6=4(J+6)

8 0

3 years ago

Which equation is perpendicular to 3x - y = 9 and goes through the point (6,6)

Lelechka [254]

Answer:

y = - $\frac{1}{3}$ x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x - y = 9 into this form by subtracting 3x from both sides

- y = - 3x + 9 ( divide all terms by - 1 )

y = 3x - 9 ← in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{3}$ , thus

y = - $\frac{1}{3}$ x + c ← is the partial equation

To find c substitute (6, 6) into the partial equation

6 = - 2 + c ⇒ c = 6 + 2 = 8

y = - $\frac{1}{3}$ x + 8 ← equation of perpendicular line

6 0

3 years ago