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2 years ago

Parallelogram WXYZ and parallelogram W" X" Y" Z" are congruent.

1 answer:

3 0

Reflections, rotations, and translations all change the location, but not the size or shape of the parallelogram. Congruence describes the line lengths and angle sizes - all of which will be maintained. Thus, reflections, rotations, and translations will maintain congruence.

All of the options use only reflection, rotation, and translation, so all of these could be the transformation in question.

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If 2x2 + y2 = 17 then evaluate the second derivative of y with respect to x when x = 2 and y = 3. Round your answer to 2 decimal

Vera_Pavlovna [14]

Answer:

y''=-1.26

Step-by-step explanation:

We are given that $2x^2+y^2=17$

We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.

Differentiate w.r.t x

Then , we get

$4x+2yy'=0$

$2x+yy'=0$

$yy'=-2x$

$y'=-\frac{2x}{y}$

Again differentiate w.r.t.x

Then , we get

$2+(y')^2+yy''=0$ $(u\cdot v)'=u'v+v'u)$

$2+(y')^2+yy''=0$

Using value of y'

$yy''=-2-(-\frac{2x}{y})^2$

$y''=-\frac{2+(-\frac{2x}{y})^2}{y}$

Substitute x=2 and y=3

Then, we get $y''=-\frac{2+(\frac{4}{3})^2}{3}$

$y''=-\frac{18+16}{9\times 3}=-\frac{34}{27}$

Hence,y''=-1.26

6 0

3 years ago

Use the triangle below to find cos V.

Semenov [28]

Answer:

$cos\ V = \frac{2\sqrt{29}}{29}$

Step-by-step explanation:

Given

The attached triangle

Required

Find cos V

In trigonometry:

$cos\theta = \frac{Adjacent}{Hypotenuse}$

In this case:

$cos V= \frac{TV}{UV}$

Where

$TV = 6$

and

$UV^2 = TV^2 + TU^2$ -- Pythagoras

$UV^2 = 6^2 + 15^2$

$UV^2 = 261$

Take square roots

$UV = \sqrt{261$

$UV = \sqrt{9*29$

$UV = \sqrt{9} *\sqrt{29$

$UV = 3\sqrt{29$

So:

$cos V= \frac{TV}{UV}$

$cos\ V = \frac{6}{3\sqrt{29}}$

$cos\ V = \frac{2}{\sqrt{29}}$

Rationalize:

$cos\ V = \frac{2}{\sqrt{29}}*\frac{\sqrt{29}}{\sqrt{29}}$

$cos\ V = \frac{2\sqrt{29}}{29}$

8 0

2 years ago

Describe how you would find the sum of 24,36and 13

Oksi-84 [34.3K]

I would add them together to get 73

Step-wise I would add the ones column together to get 13, carry the one over then add the tens up to get 70 - your answer is 73

3 0

3 years ago

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How much compound interest is earned on $24,500 principal, with an annual interest rate of 5% compounded annually, over years? c

Brilliant_brown [7]

It is C. Hope this helps. LOL

4 0

3 years ago

On a local sports team 20% of 50 players are left-handed how many left-handed players are on the team

mr Goodwill [35]

Answer:

10 players

Step-by-step explanation:

so a percentage is really just like a fraction or decimal so were going to turn it into a decimal by moving the decimal point two places to the left making it .20 then to figure out the answer we're going to multiply 50 by .20 to get 10

3 0

2 years ago

Read 2 more answers