What is the vertex of the function f(x) = x2 + 12x?
O (-6, -36)
O (-6, 0)
O (6,0)
O (6, -36)

Answer:

Easiest: Translation

Most difficult: rotation

Step-by-step explanation:

- Translation involves just moving of an image without any changes anything about it from size to orientation to shape. Therefore, the translated image is exactly the same as the original one just that it is moved to a different place.

- Rotation involves rotating the image by a certain angle.

For example, we can rotate an image by 30°, 45°, 60° e.t.c.

- Reflection is simply the mirror image of an existing image which is basically flipping the original image along a vertical or horizontal line which acts like a mirror.

Looking at these definitions, the easiest will be translation because we are not changing any single thing but just moving from one place to another while the most difficult would be rotation because it involves rotating at an angle which one may not easily get correctly.

Step-by-step explanation:

volume of sphere=4/3πr³

Answer:

V = 4188.79 in^3

Step-by-step explanation:

The volume of a sphere is V = (4/3)(pi)(10 in)^3, or (using a calculator):

V = 4188.79 in^3

Answer:

$129.00 is the correct answer

Step-by-step explanation:

..

Answer:

honest or no?

Step-by-step explanation:

Answer:

[tex]\frac{n-3}{2n+5}[/tex]

Step-by-step explanation:

Answer:

5 + m

d. 3 - 5p

Step-by-step explanation:

What is the expression for 5 increased by m?

5 + m

Which of the following expressions represents three minus the product of five and p?

d. 3 - 5p

Answer: you forgot to add the picture

Step-by-step explanation:

But if you think you are correct, go for it

Answer:

9x3.14=28.26

Step-by-step explanation:

1 3

3.14

x  9

28.26

multiply 4x9 Cary the 3 put the 3 above the 1 then multiply 1x9 the add the three then carry the 1 put it above the 3 the multiply 3x9 the you add you final total and bring the decimal doe to we’re it becomes 28.26

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the dimensions of the hexagon are not given.

I will assume that:

[tex]b = 6[/tex] --- base length

[tex]h = 8[/tex] --- height

First, we calculate the height (a) of each triangle that makes the hexagonal base

The formula to use is:

[tex]a^2 = b^2 - (\frac{b}{2})^2[/tex]

[tex]a^2 = 6^2 - (\frac{6}{2})^2[/tex]

[tex]a^2 = 6^2 - (3)^2[/tex]

[tex]a^2 = 36 - 9[/tex]

[tex]a^2 = 27[/tex]

Take positive square roots

[tex]a = \sqrt{27[/tex]

Expand

[tex]a = \sqrt{9*3[/tex]

Split

[tex]a = \sqrt{9}*\sqrt3[/tex]

[tex]a = 3\sqrt3[/tex]

So, we have:

[tex]Area = \frac{1}{2}ap[/tex]

Where

[tex]a = 3\sqrt3[/tex]

[tex]p =perimeter[/tex]

[tex]p = 6 * b[/tex] ---- 6 represents the sides of the hexagon

[tex]p = 6 * 6[/tex]

[tex]p = 36[/tex]

[tex]B= \frac{1}{2}ap[/tex]

[tex]B= \frac{1}{2} * 3\sqrt 3 * 36[/tex]

[tex]B= 3\sqrt 3 *18[/tex]

[tex]B = 54\sqrt 3[/tex]

[tex]h = 8[/tex]

Lastly, the volume is:

[tex]V = \frac{1}{3}Bh[/tex]

So:

[tex]V = \frac{1}{3} * 54\sqrt3 * 8[/tex]

[tex]V = 18\sqrt3 * 8[/tex]

[tex]V = 144\sqrt3[/tex]

Answer:

4/10 or 2/5

Step-by-step explanation:

probability of each letter:

J = 0/10

U = 2/10

M = 1/10

P =  1/10

Answer:

Side Length AB = 22

Side Length CB = 35.21

Side Length = 41.52

Angle A = 58°

Angle B = 90°

Angle C = 32°

Step-by-step explanation:

Tan(32) = 22 / CB

Tan(32) * CB = 22

CB = 22 / Tan(32)

CB = 35.21

22² + 35.21² = AC²

484 + 1239.74 = AC²

1723.74 = AC²

[tex]\sqrt{1723.74}[/tex] = AC

41.52 = AC

Angle A + Angle B + Angle C = 180°

Angle A + 32° + 90° = 180

Angle A + 122 = 180

Angle A = 180 - 122

Angle A = 58°

Hope this helps!

Answer:

Sine Rule will apply here too

22/Sin32° = AC/sin90

AC = 22sin90/sin32

AC=41.52(To the nearest 100th)

Angles in a triangle =180

Angle A = 180 - 90 - 32

Angel A = 58°

BC/Sin58 = 22/sin32

BC = 22sin58/sin32

BC=35.21 (Nearest 100th).

Have a great day!

Answer:

6/3

8/4

we can keep 6/8 also but we can't keep 3/8

Answer:

[tex]cos 45 = \frac{adjacent}{hypotenuse} \\\\\frac{1}{\sqrt{2} } = \frac{5}{x} \\\\ x = 5*\sqrt{2} = 7.071 \\nearest \ tenth = 7.1[/tex]

option D

Answer:

It's 12.

Step-by-step explanation:

90-18=72

72/6 =12

Answer:

Step-by-step explanation:

two like therms have the same literal part

3x^4 and 6x^4

6x and -8x

-8 and 3

Answer:

3x^4 ↔ 6x^4

6x ↔ -8x

-8 ↔ 3

Step-by-step explanation: i took the test !

Answer:

7.

This is a complementary angle, which means that the two angles add up to 90 degrees. The two angles, in this case, are b and 52. Thus, we have:

b + 52 = 90

b = 38.

Therefore, b is 38 degrees.

8. This is a supplementary angle, which means that the two angles add up to 180 degrees. There is a right angle in the picture to confuse us, so we can just pretend that that doesn't exist, and just focus on the 180-degree angle (which is the straight line). The two angles shown are b and 117, so we have:

b + 117 = 180

b = 63

Therefore, b is 63 degrees.

9. This is a supplementary angle, which means that the two angles add up to 180 degrees. There is another line in the picture to confuse us, so we can just pretend that the line that is making a triangle (the one opposite of 125 degrees) doesn't exist, and just focus on the 180-degree angle (which is the straight line). The two angles shown are b and 125, so we have:

b + 125 = 180

b = 55

Therefore, b is 55 degrees.

Circumference of a circle is pi x diameter

Circumference = 3.14 x 8 = 25.12 feet.

Arc AB is 45 degrees.

Arc length = circumference x angle/360

Arc length = 25.12 x 45/360 = 3.14 feet

Answer: 3.14 feet

Answer:

It’s A -4/3

Step-by-step explanation:

Got it right on edge

Answer:

58 units squared

Step-by-step explanation:

**I'm doing the question with the 7 by 3 triangle in the picture, not 777 by 333**

Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex], where c is the length of the hypotenuse.

The given sides are legs, therefore, [tex]3^2+7^2=c^2[/tex]

[tex]9+49=c^2; 58=c^2; c=\sqrt{58}[/tex]

c is also one of the sides of the square. A square's area is one of the sides' lengths squared, so:

[tex](\sqrt{58}) ^{2}=58[/tex]

Answer:
58

Step-by-step explanation:

We can use the Pythagorean theorem to find the area of the square for the third side.

The equation for the Pythagorean theorem is

a^2 + b^2 = c^2

where a and b are the lengths of the two legs of the triangle, and c is the length of the hypotenuse.

a^2 + b^2 = c^2

3^2+7^2=x^2

9+49=x^2

58=x^2

The area of the square for the third side of the triangle is 58 units^2 squared.

Answer: 360

Step-by-step explanation: Anytime it asks for the exterior sum it will always be 360

Answer:

A

Step-by-step explanation:

Answer:

Hey! I just took the test and the correct answer is option B.

Step-by-step explanation:

Answer:

B. 5.4

Step-by-step explanation:

3/5 = 6/10

6/10 = 0.6

9 x 0.6 = 5.4

Answer:

g(f(4)) = 41

Step-by-step explanation:

Evaluate f(4) then substitute the value obtained into g(x)

f(4) = 4² + 4 = 16 + 4 = 20, then

g(20) = 2(20) + 1 = 40 + 1 = 41

That is g(f(4)) = 41

Answer:

y = 5/8x + 9

Hope this helps!