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3 years ago

15

What is the rule for the reflection?

1 answer:

Sliva [168]3 years ago

7 0

Hey user!

your answer is here...

laws ( rules ) of reflection are :-

• angle of incidence is equal to angle of reflection.

• the incident ray, Normal ray and reflected ray all lie in same plane.

cheers!!

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Drag each tile to the correct location on the image. Each tile can be used more than once, but not all images will be used.

OverLord2011 [107]

Answer:

Switch x and y, and solve for y

$f^{-1}(x) =\frac{(x -4)^3}{8}$

Step-by-step explanation:

Given

$f(x) = 3\sqrt{8x} + 4$

Required

Complete the steps to determine the inverse function

Solving (a): Complete the blanks

Switch x and y, and solve for y

Solving (b): Determine the inverse function

$f(x) = \sqrt[3]{8x} + 4$

Replace f(x) with y

$y = \sqrt[3]{8x} + 4$

Switch x and y

$x = \sqrt[3]{8y} + 4$

<u>Now, we solve for y</u>

Subtract 4 from both sides

$x -4= \sqrt[3]{8y} + 4-4$

$x -4= \sqrt[3]{8y}$

Take cube roots of both sides

$(x -4)^3= 8y$

Divide both sides by 8

$\frac{(x -4)^3}{8} = y$

So, we have:

$y =\frac{(x -4)^3}{8}$

Hence, the inverse function is:

$f^{-1}(x) =\frac{(x -4)^3}{8}$

7 0

3 years ago

A snowball has a radius of 7cm. What is the volume of the snowball?

BabaBlast [244]

Answer:

The volume is 1436.8 $in^2$ .

Step-by-step explanation:

-To find the volume of a sphere, you need the formula:

$V = \frac{4}{3} \pi r^3$

-Use the radius for the formula:

$V = \frac{4}{3} \pi 7^3$

-Then, you solve:

$V = \frac{4}{3} \pi 7^3$

$V = \frac{4}{3}$ × $\pi$ × $7^3$

$V = \frac{4}{3} \pi$ × $343$

$V = \frac{1372}{3} \pi = 1436.755$

-Round the answer to the nearest tenth:

$V = 1436.8$

So, therefore the volume is 1436.8 $in^2$ .

7 0

3 years ago

(18)2(3)2(4)3<br> (6)2(2)3

lord [1]

Answer:

Trrvdddctcfc hfrvhjk

Step-by-step explanation:

8 0

3 years ago

(7x²+8+5)+(3x²-2x-2) add polynomials

eimsori [14]

Answer:

10x²+11-2x

Step-by-step explanation:

I hope you mean 7x²+8+5, not 7x²+8x+5.

We need to combine like terms. Anything with squared should be added together, et cetera.

(7x²+8+5)+(3x²-2x-2)

You can take out the parenthesis, because they don't matter in addition.

7x²+8+5+3x²-2x-2

Add the terms, step by step. Each bold pair needs to be added together.

7x²+8+5+3x²-2x-2

10x²+8+5-2x-2

10x²+11-2x

Now there's no more we can add together.

3 0

3 years ago

Elodia [21]

Answer:

B. -55

Step-by-step explanation:

La resta entre ambas funciones consiste en la sustracción de términos semejantes como demostraremos a continuación:

1) $f(x) =-2\cdot x ^{2}-6$ Dado

2) $g(x) = x+4$ Dado

3) $(f-g)(x) = (-2\cdot x^{2}-6)-(x+4)$ Definición de resta de funciones.

4) $(f-g)(x) = (-2\cdot x^{2}-6)+(-1) \cdot (x+4)$ $(-1)\cdot a = -a$

5) $(f-g)(x) = (-2\cdot x^{2}-6) + (-x-4)$ Propiedad distributiva/ $(-1)\cdot a = -a$

6) $(f-g)(x) = -2\cdot x^{2}-x+(-6-4)$ Propiedad conmutativa

7) $(f-g) (x) = -2\cdot x^{2}-x-10$ Sustracción de términos semejantes/Resultados.

A continuación, evaluamos la función resultante en $x = -5$ :

$(f-g)(-5) = -2\cdot (-5)^{2}-(-5)-10$

$(f-g)(-5) =-55$

Por ende, la respuesta correcta es B.

8 0

3 years ago