Write an equation for the translation of y=2/x with the given asymptotes. X=1 y=-1

jonny [76]

I believe it’s c ^^
since you multiply the numerators and denominators.. so since the first fraction is 1/2 & the second is 3/4, you’d multiply it like:
1 x 3 & 2 x 4, giving you 3/8.

6 0

3 years ago

Multiply. Check picture.

VashaNatasha [74]

The answer is $3x^4-13x^3-x^2-11x+6$ .

Solution:

Use algebraic identity: $a^m\times a^n=a^{m+n}$

For example: $x^2\times x=x^{2+1}=x^3$

Given expression $(x^2-5x+2)$ and $(3x^2+2x+3)$ .

To multiply these equations.

$(x^2-5x+2)\times(3x^2+2x+3)$

$=x^2(3x^2+2x+3)-5x(3x^2+2x+3)+2(3x^2+2x+3)$

$=(3x^4+2x^3+3x^2)+(-15x^3-10x^2-15x)+(6x^2+4x+6)$

$=3x^4+2x^3+3x^2-15x^3-10x^2-15x+6x^2+4x+6$

Combine like terms together.

$=3x^4+(2x^3-15x^3)+(3x^2-10x^2+6x^2)-15x+4x+6$

$=3x^4-13x^3-x^2-11x+6$

$(x^2-5x+2)\times(3x^2+2x+3)=3x^4-13x^3-x^2-11x+6$

Hence the answer is $3x^4-13x^3-x^2-11x+6$ .

3 0

3 years ago

The area of a right triangle with one leg measuring 5ft and hypotenuse measuring 13ft is

nexus9112 [7]

Calculating the other leg:
other leg^2 = 13^2 - 5^2
other leg^2 = 169 -25
other leg^2 = 144
other leg = 12

Area = .5 * 12 *5
Area = 30 sq feet
answer is A

6 0

2 years ago

Write an equation in point-slope form of a line that goes through the points (1,4) and (3,-10). Do not use any spaces in your an

olasank [31]

Answer:

y-4=-7(x-1) OR y-(-10)=-7(x-3)

Step-by-step explanation: The point-slope form is $y_$ - $y_{1}$ = $m_$ ( $x_$ - $x_{1}$ )

In slope-intercept form, the equation would be y = -7x + 11

You could find the slope by using the slope equation, $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$ .

Using that, you would get -7. Thus by inserting one of the points and the slope in the point-slope equation, you will get your answer.

6 0

2 years ago

Someone please help me

aliina [53]

Answer:

8. Louis

9. Rose; Raymond

Step-by-step explanation:

8. An exponent represents the number of times the base appears as a factor in the product.

We use a coefficient to signify repeated addition: 3x means x+x+x.

We use an exponent to signify repeated multiplication. x³ means x·x·x.

So, the expression ...

$4^2\cdot 4^5\text{ means }(4\cdot4)\cdot(4\cdot4\cdot4\cdot4\cdot4)$

You can see that the factor 4 appears 7 times in the product, so would be represented in exponential form as ...

$4^2\cdot4^5=\boxed{4^7}$

Louis has correctly observed this fact. In general, we see that multiplying powers of the same base causes those powers to be added.

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9.

<u>Part A</u>. Rose is correct for the same reason as in problem 8.

5^5 · 5^2 = 5^(5+2) = 5^7

<u>Part B</u>. Raymond is correct. We know that division cancels similar terms from the numerator, so ...

$\dfrac{7^9}{7^5}=\dfrac{7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7}{7\cdot7\cdot7\cdot7\cdot7}=7\cdot7\cdot7\cdot7=7^{9-5}=7^4$

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The rules of exponents we're using here are ...

(a^b)(a^c) = a^(b+c)

(a^b)/(a^c) = a^(b-c)

4 0

3 years ago