simplify this rational expression. Factor completely

Answer:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape.

Surface area is the sum of the areas of all the surfaces of a 3D figure

An area is the amount of space occupied by a two dimensional (has length and width) shape or object.

A three dimensional shape is a shape with length, width and height. Surface area is the sum of the areas of all the surfaces of a 3D figure

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Answer:

A

Step-by-step explanation:

[tex]a^x = b \\log_a(b) = x[/tex]

Answer:

B, 17

Step-by-step explanation:

The 17 is the middle number when ordered from least to greatest. Therefore, it is the median.

Answer:

a is greater than -2

Step-by-step explanation:

Solving a comparison like this is the same as solving an equation, except you need to watch out for the signs of numbers.

Given:

-2a - 12 < -8

The first thing we need to do here is to add 12 to both sides:

-2a - 12 + 12 < -8 + 12

-2a < 4

You'll notice we're just increasing both sides, so the relationship stays the same.

Now we divide both sides by -2.  Because the number is negative, it changes whether the result is greater or less.

-2a < 4

-2a ÷ -2 > 4 ÷ -2

a > -2

Giving us our final answer.

9514 1404 393

Answer:

  53/99

Step-by-step explanation:

When an n-digit repeat begins at the decimal point, the repeating digits can be placed over an equal number of 9s to make a fraction. Sometimes, that fraction can be reduced to lower terms.

  [tex]0.\overline{53}=\boxed{\dfrac{53}{99}}[/tex]

__

If the repeat does not start at the decimal point, the conversion can be done as follows.

For a number x with a decimal fraction that has n digits repeating, multiply by 10^n, subtract x and then divide by (10^n -1).

The fraction will be ...

  (x·10^n -x)/(10^n -1) . . . where x has n repeating digits in the decimal fraction

Here, that looks like ...

  [tex]x=0.\overline{53}\\100x=53.\overline{53}\\100x-x=53.\overline{53}-0.\overline{53}=53\\99x=53\\x=\dfrac{53}{99}[/tex]

Answer/Step-by-step explanation:

a. Using two points on the line (0, 2) and (4, 12), find the gradient:

Gradient = ∆y/∆x = (12 - 2) / (4 - 0) = 10/4 = 2.5

Gradient = 2.5

b. The gradient, 2.5, represents the unit rate. That is, the volume of the oil in the tank per second.

i.e. 2.5 litres per second

c. The value, L = 2 represents the y-intercept, which is the starting value or initial volume of oil in the tank at 0 secs.

Answer:

b) Reflection over y = -2

Step-by-step explanation:

Reflection over y = -2

Answer:

Step-by-step explanation:

1) B=8cm                          H=5.5

A=1/2xbxh

A=I/2 x 8 x 5.5

A=22

The area of the first traingle is 22cm

2)

B=12cm                                 h=8.4

A=1/2xbxh

A=1/2 x 12 x 8.4

A=50.4

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Answer:

i can.

Step-by-step explanation:

Answer:

77°

Step-by-step explanation:

By the property of intersecting tangent and secant outside of a circle:

[tex]21 \degree = \frac{1}{2} ( 119 \degree - \widehat{SU} ) \\ \\ 42 \degree = 119 \degree - \widehat{SU} \\ \\ \widehat{SU} =119 \degree - 42 \degree \\ \\ \widehat{SU} =77\degree \\ \\ [/tex]

The mArc SU is option (B) 77 degrees

A straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.

A secant is a line that intersects a circle in exactly two points.

Here,

By the property of intersecting tangent and secant outside of a circle:

[tex]T=\frac{1}{2}(RU-SU)[/tex]

Here

T= 21 degrees

RU is the mArc RU = 119 degrees

Then,

[tex]21 =\frac{1}{2}(119-SU)\\ 42=119-SU\\SU=119-42[/tex]

SU = 77 degrees

Hence, the mArc SU is option (B) 77 degrees

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Answer:

a landowner recently sold a large plot of land the sale decrease of his total lack Courage by 12%

Step-by-step explanation:

Answer:

Step-by-step explanation:

4π/3 radians. Triangle A B C has angles labeled as follows: A, (101x + 2) degrees; B, 34x degrees; C, unlabeled. The measure of ∠BCD is 120°. )

Answer:

we need the mesurmwnt of the prismms dude

Step-by-step explanation:

Answer:

(2/3*6a) + (2/3*9) = 20.4

a=3.6

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

BRAINIEST PLLLLLLSSSSSS

Answer:28.7 minutes

Step-by-step explanation:

Answer:

just 30 x 1?

Step-by-step explanation: its 30 anything times 1 is the same answer it is multipled by!

Answer:

30

Step-by-step explanation:

Answer:

[tex]y = x[/tex]

Step-by-step explanation:

Given

[tex]A =(6,3.7)[/tex]

[tex]B = (5.4,2)[/tex]

[tex]C = (1,3)[/tex]

[tex]A' = (3.7, 6)[/tex]

[tex]B' = (2, 5.4)[/tex]

[tex]C' = (3, 1)[/tex]

Required

The equation for the line of reflection

Taking points A and A' as a point of reference:

[tex]A =(6,3.7)[/tex] and [tex]A' = (3.7, 6)[/tex]

First, calculate the midpoint (M)

[tex]M = (\frac{x_2+x_1}{2},\frac{y_2+y_1}{2})[/tex]

[tex]M = (\frac{3.7+6}{2},\frac{6+3.7}{2})[/tex]

[tex]M = (\frac{9.7}{2},\frac{9.7}{2})[/tex]

[tex]M = (4.85, 4.85)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{6 - 3.7}{3.7 - 6}[/tex]

[tex]m = \frac{2.3}{-2.3}[/tex]

[tex]m = -1[/tex]

The midpoint of a reflection is always perpendicular to the points being reflected.

So, the slope of [tex]M = (4.85, 4.85)[/tex] is:

[tex]m_2 = -\frac{1}{m}[/tex]

[tex]m_2 = -\frac{1}{-1}[/tex]

[tex]m_2 = 1[/tex]

The equation is then calculated as:

[tex]y = m_2(x - x_1) + y_1[/tex]

Where:

[tex](x_1,y_1) = (4.85,4.85)[/tex]

[tex]y = 1(x - 4.85) + 4.85[/tex]

[tex]y = x - 4.85 + 4.85[/tex]

[tex]y = x[/tex]

Hence, the equation of line of reflection is:

[tex]y = x[/tex]

Answer:

c

Step-by-step explanation:

Answer:

x is infinite

Step-by-step explanation:

-6x+7=2x+10-8x-3

reduce:

-6x+7=7-6x

7-6x = 7-6x

x = x

x is infinite

Answer:

Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.

[tex] \\ [/tex]

Answer:

$36991

Step-by-step explanation:

C = 2.32N + 34180

120000 = 2.32N + 34180

85820 = 2.32N

N = 85820/2.32

N = 36991

Answer: $36991

Answer:

x plus 4 divided by 5 minus 9

x + 4 / 5 - 9

Answer:

it's ok no problem take care

Answer:

84

Step-by-step explanation:

12*7 = 84

Answer:

84

Step-by-step explanation: 12*7 = 84

Answer: x=4

Step-by-step explanation:

similar triangle so corresponding parts are similar

[tex]\frac{5}{10} = \frac{2x-1}{14}[/tex]

cross multiply

70 = 20x-10

80 = 20x

x = 4

Answer:

The answer is D

Step-by-step explanation:

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Given:

The radius of the fishing bobber = 0.5 inch.

To find:

The volume of the find bobber.

Solution:

We know that the shape of fishing bobber is a sphere.

The volume of a sphere is:

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Substitute r=0.5 and [tex]\pi=3.14[/tex] to find the volume of the fishing bobber.

[tex]V=\dfrac{4}{3}(3.14)(0.5)^3[/tex]

[tex]V=\dfrac{4}{3}(3.14)(0.125)[/tex]

[tex]V=0.52333...[/tex]

Approx the value to the nearest tenth.

[tex]V\approx 0.5[/tex]

Therefore, the volume of the fishing bobber is 0.5 cubic inches.