What is the simplified form of the expression -4xy/3x -3y/4 -4x/3 -4y/3 -3x/4

How many ways can five people, a,b,c,d, and e, sit in a row at a movie theater if c must sit to the right of but not necessarily

hichkok12 [17]

A,b,c,d,e
a,b,d,c,e
a,b,d,e,c
b,a,d,e,c
b,d,a,e,c
b,d,e,a,c

7 0

3 years ago

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Let logb A= 3; logb C = 2; logb D=5 What is the value of logb D^2/C^3A

Ne4ueva [31]

Answer:

The value of given log function is 1 .

Step-by-step explanation:

Given as :

Logb A = 3

Logb C = 2

Logb D = 5

Now from log property

if , Logb x = c , then x = $b^{c}$

So,

Logb A = 3 , then A = $b^{3}$

Logb C = 2 , then C = $b^{2}$

Logb D = 5 , then D = $b^{5}$

Now, According to question

$Logb\frac{D^{2}}{C^{3}A}$

So, $Logb\frac{(b^{5})^{2}}{(b^{2})^{3}\times b^{3}}$

Or, $Logb\frac{b^{10}}{b^{6}\times b^{3}}$

or, $Logb\frac{b^{10}}{b^{9}}$

Now, since base same So,

$log_{b}b^{10-9}$

∴ $log_{b}b^{1}$

Now log property

$log_{b}b$ = 1

Hence The value of given log function is 1 . answer

5 0

3 years ago

Hello, I am currently very stuck with this problem and I am unsure as to how I would solve it.

borishaifa [10]

We have the equation

$20y=x^2-10-15$

Let's complete the square, to do it let's add and subtract 25 on the right side

$\begin{gathered} 20y=x^2-10-15+25-25 \\ \\ 20y=(x-5)^2-15-25_{} \\ \\ 20y=(x-5)^2-40 \\ \\ \end{gathered}$

Now we can have y in function of x

$\begin{gathered} y=\frac{1}{20}(x-5)^2-2 \\ \\ \end{gathered}$

Now we can already identify the vertex because it's in the vertex form:

$y=a(x-h)+k$

Where the vertex is

$(h,k)$

As we can see, h = 5 and k = -2, then the vertex is

$(5,-2)$

Now we can continue and find the focus, the focus is

$\mleft(h,k+\frac{1}{4a}\mright)$

We have a = 1/20, therefore

$\begin{gathered} \mleft(5,-2+5\mright) \\ \\ (5,3) \end{gathered}$

The focus is

$(5,3)$

And the last one, the directrix, it's

$y=k-\frac{1}{4a}$

Then

$\begin{gathered} y=-2-5 \\ \\ y=-7 \end{gathered}$

Hence the correct answer is: vertex (5, -2); focus (5, 3); directrix y = -7

5 0

1 year ago

`bar(JK)` is dilated by a scale factor of n with the origin as the center of dilation, resulting in the image `bar(J'K')`. The s

dalvyx [7]

Answer:

Length of Bar JK=l

Bar (JK) is dilated by a scale factor of n, having origin as the center of dilation.

New line segment formed named bar (J'K').

As given slope of bar(JK) =m

When we dilate a line segment with respect to origin , having origin as the center of dilation, there is no effect of slope on Dilation.

Length of bar (J'K')= (Length of bar JK)×(Scale factor)

= l×n Or n×l

Option (D) is correct.

7 0

3 years ago

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What is the standard form of 2x=y/3-4

Ymorist [56]

Answer:

-2x

Step-by-step explanation:

7 0

2 years ago