All categories

3 years ago

Determine translation

Mathematics

1 answer:

Mandarinka [93]3 years ago

5 0

The translation moved point B(-5, -2) to B'(6, -5). Although a graph isn't necessary, it helps visualize what happened.

What happened to the x-coordinate of B? It changed from -5 to 6, an INCREASE of 11. So point B moved 11 units to the RIGHT.

What happened to the y-coordinate of B? It changed from -2 to -5, a DECREASE of 3. So point B moved 3 units DOWN.

You might be interested in

Liz went shopping at the early bird sale. She gets 25% off her entire purchase for shopping before 9:00 AM. She bought a set of

scZoUnD [109]

Answer: Her total before tax is $57.56.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

<em>Set of knives: $62.50 </em>
<em>Pot holders (3): $4.75 each </em>

First we have to sum the prices:

$62.50 + ($4.75 x3) = $76.75 (total without discount)

To calculate the discount we have to multiply the total by 0.25 (25/100 = 0.25 decimal form).

Mathematically speaking:

$76.75 x 0.25 =$19.18

And finally we subtract the value calculated to the total without discount:

$76.75 - $19.18 = $ 57.56

Her total before tax is $57.56.

Feel free to ask for more if needed or if you did not understand something.

8 0

3 years ago

What is the derivative of f(x)= 3cos^2 (x)

Igoryamba

$\large\begin{array}{l} \textsf{Finding the derivative of}\\\\ \mathsf{f(x)=3\,cos^2\,x} \end{array}$

$\large\begin{array}{l} \textsf{You can differentiate it using the chain rule}\\\\ \mathsf{f'(x)=(3\,cos^2\,x)'}\\\\ \mathsf{f'(x)=3\,(cos^2\,x)'}\\\\ \mathsf{f'(x)=3\cdot 2\,(cos\,x)^{2-1}\cdot (cos\,x)'}\\\\ \mathsf{f'(x)=6\,(cos\,x)^1\cdot (-sin\,x)}\\\\ \boxed{\begin{array}{c}\mathsf{f'(x)=-6\,cos\,x\,sin\,x} \end{array}}\qquad\checkmark \end{array}$

<span>If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2141400</span>

$\large\textsf{I hope it helps.}$

Tags: <em>derivative trig function cosine cos power chain rule differential calculus</em>

3 0

3 years ago

Read 2 more answers

(-5a+6)(-4a+3) <br><br> Cannot be a fraction

torisob [31]

Hey there!

To solve this problem, we will take a look at the FOIL Method.

FOIL is a simple acronym that can be used to multiply binomials. It stands for:

F - Front

O - Outer

I - Inner

L - Last

See the image below for an example of how to use this in the given situation.

<h3>Apply</h3>

Front: <em>Multiply the two terms out in the front.</em>

$(-5a)(-4a) = 20a^2$

Outer: <em>Multiply the two terms on the outsides.</em>

$(-5a)(3)=-15a$

Inner: <em>Multiply the two terms on the insides.</em>

$(6)(-4a)=-24a$

Last: <em>Multiply the two terms in the back.</em>

$(6)(3)=18$

Now, we add all of our answers from above:

$20a^2-15a-24a+18$

<h3>Simplify</h3>

Simplify by combining like terms:

$20a^2-39a+18$

There's our answer!

For a similar problem, see:

brainly.com/question/27980306

5 0

2 years ago

A fire station is to be located along a road of length A, A < q. If fires occur at points uniformly chosen on (0, A), where s

Shtirlitz [24]

Answer:

Step-by-step explanation:

Given that X is uniform in the interval (0,A)

X is continuous since it represents the distance

A fire station is to be located along a road of length A, A < q. If fires occur at points uniformly chosen on (0, A), we should find where the station be located so as to minimize the expected distance from the fire

Distance can be taken as absolute values here as either side is the same.

E(|x-a|] is to be minimum

E(|x-a|)=E(x-a) for 0<x<a

=E(a-x), for a<x<A

Using integral we find this value

$E(|x-a|)=\int\limits^a_0 {x-a} \, dx +=\int\limits^A_a -{x-a} \, dx\\f(a)=\frac{a^2}{2} -\frac{(A-a)^2}{2}$