2. the sum of x and 9
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Answer:

Step-by-step explanation:

conjugates are the the same number with an opposite sign in the middle

3 - 6i  = 3 + 6i '      the  '  mark often denotes a conjugate.. and other things

9 + i  = 9 - i '  

because complex number represent two different ..(orthogonal ) directions... or at a right angle.. they don't affect each other at all

so to add we just add those part independently

A) (3 - 6i ) + (9 +i )  

3+9  + (-6+1)i   =  12-5i

B) ( 3 + 6i)    + (  9 - i)

(3+9) + (6+ (-1)) i

12 +5i

C)  notice the only difference of the sum of the conjugates is   the sign, and so the sum of the conjugates is itself a conjugate too  :)  this is handy  .. especially in elect. engineering  :P

Answer:

3

Step-by-step explanation:

equate the two together to get the value of x

Answer: perpendicular lines

Step-by-step explanation:

look up "Two straight lines that intersect at a right angle"

Answer:

Perpendicular! hope this helps :)

Notice that we have the constraint that volleyball has to start at 3:00 p.m. Therefore, the other 2 activities only have two options, 9 a.m., and 12 p.m.

The possible ways the activities can be arranged are:

Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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The probability that calls last between 4.0 and 4.6 minutes will be around 0.4332.

we have to standardize the values and utilize the standard typical dispersion table or calculator.

To discover the z-scores for 4.0 and 6.0  minutes:

z1 = (4.0 - 6.0  ) / 0.70 = 2.8

z2 = (4.5 - 6.0  ) / 0.70= 2.1

Since Employing a standard ordinary conveyance table, we are able to discover the likelihood of the calls enduring between 4.0 and 4.6 minutes:

P(0 ≤ Z ≤ 2.1) = 0.4332

However the likelihood that calls final between 4.0 and 4.6 minutes is 0.4332, or around 0.4332.

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The requreid,
(a) Approximate values of the given numbers are π ≈ 3.1, √6 ≈ 2.4, 2√6 ≈ 4.8, and √7 ≈ 2.6.
(b) √6  < √7 <  π  < 2√6

(a)

π ≈ 3.1 (since π is between 3 and 4, and is closer to 3.1 than to 3.2)

√6 ≈ 2.4 (since 6 is between 4 and 9, and the square root of 6 is closer to 2.4 than to 2.5)

2√6 ≈ 4.8 (since 2√6 is approximately twice the value of √6, which is 2.4)

√7 ≈ 2.6 (since 7 is between 4 and 9, and the square root of 7 is closer to 2.6 than to 2.7)

(b)

Order from least to greatest:

√6  < √7 <  π  < 2√6

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Answer:

x + 2

Step-by-step explanation:

Area = x² + 11x + 18

length = x + 9

width = ?

Area = length x width

Factor the polynomial x² + 11x + 18:

length x width = (x + 9)(x + 2) = x² + 11x + 18

The length is x + 9, therefore the width is x + 2

The maximum volume of the cylinder is approximately 1257 cubic centimeters.

The volume V of a right circular cylinder with radius r and height h is given by:

V = πr²h

Substituting the given expressions for the radius and height of the cylinder, we get:

V = πx²(800/πx - x)

Simplifying the expression, we get:

V = 800x - πx³

To find the maximum value of V, we need to find the value of x that maximizes V. We can do this by taking the derivative of V with respect to x, setting it equal to zero, and solving for x:

dV/dx = 800 - 3πx² = 0

3πx² = 800

x² = 800/3π

x ≈ 6.43

Substituting this value of x back into the expression for V, we get:

V ≈ 1257

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Answer:

The question is not complete

the value of k for the given right-angle triangles is 5.

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given, Two right-angle triangles one of them has a height of 7 cm and a weight of 1 cm. While others have a height and base of the same measurement k.

The Hypotaneuse of the triangles is equal and the same.

From the general formula of the Pythagorean theorem

Hypotaneuse²  = height + bsase²

in a triangle with a height of 7

Hypotaneuse² = 7² + 1²

Hypotaneuse² = 49 + 1

Hypotaneuse² = 50...(1)

In a triangle with a height of k

Hypotaneuse² = k² + k²

Hypotaneuse² = 2k²....(2)

Since Hypotaneuse is the same

From comparing both equations

50 = 2k²

k² = 25

k = 5

therefore, the value of k for the given right-angle triangles is 5.

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Piecewise Functions

The piecewise function represents the monthly sales of Jenny's boutique.

It's required to find the monthly sales when Jenny first started to track the sales.

It happened when x = 0, so we need to know which piece to use.

The only part of the function that includes x = 0 is the first one, thus:

Choice: A) $4,000

Answer:

A quadrilateral is a shape that has four straight sides and four angles.

A triangle is a shape that has three straight sides and three angles.

A square is a special type of quadrilateral that has four straight sides of equal length and four right angles.

all work should be in the picture, lmk if theres anything confusing

9514 1404 393

Answer:

  a. correct

  b. 3 for $315; 5 for $485

Step-by-step explanation:

You have correctly solved for x, the number of ski trips. As a practical matter, the formula is easier to use if you don't have to deal with mixed numbers or the odd fraction:

  \(x=\dfrac{C-60}{85}\)

Use that formula to find the number of ski trips for each of the given amounts.

x = (315 -60)/85 = 255/85 = 3 trips

x = (485 -60)/85 = 425/85 = 5 trips

Answer:

D. 4 units

Step-by-step explanation:

Similar figures have corresponding lengths in proportion.

\(\frac{4x}{2x}=\frac{x+1}{x} \\ \\ 2=1+\frac{1}{x} \\ \\ 1=\frac{1}{x} \\ \\ x=1\)

Therefore, the height of Figure 1 is 4.

Answer: The formula for the mathematical function that takes as input an RGB color vector ⟨r,g,b⟩ and yields as output the RGB color vector that is the unique shade of gray whose total amount of light (r+g+b) is equal to that of the input is:

(r+g+b)/3, (r+g+b)/3, (r+g+b)/3

Step-by-step explanation: RGB color space is a way to represent colors digitally, where each color is represented by a combination of red, green, and blue values ranging from 0 to 255. To obtain a unique shade of gray whose total amount of light (r+g+b) is equal to that of the input color, we have to set all three color channels to the average value of the red, green and blue values.

To calculate this average value we use the formula: (r+g+b)/3

So the output of the function is ⟨(r+g+b)/3, (r+g+b)/3, (r+g+b)/3⟩ which is the unique shade of gray whose total amount of light is equal to that of the input color.

Note: This is one way to convert color to gray, other methods exist like using luminosity or other weights to RGB channels.

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:

-3

Step-by-step explanation:

The top left box on the x axis is negitive 3

Answer:

1. 15x + 10y=-11

15x + 10y + 11=-11 + 11

15x + 10y + 11 = 0

2. -9x + DT = 19

-9x = 19 - DT

x = 19/9 + 1/9DT

x = 19/9 + 1/9DT, D∈ℝ, T∈ℝ

Answer:

= 22:4 :: x : 16

22*16 = 4x

352 = 4x

x = 352/4

x = 88

Hope this helps you. Do mark me as brainliest.

Answer:

Step-by-step explanation:

1/2x^2

thats becuase that is the red parabola's equation. I don't know how to explain but I know the answer.

The next four consecutive even numbers would be A+8, B+8, C+8, & D+8. Consequently their sum would be 180+4*8 = 212.

The ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.

If two solids that are similar to each other, have volumes A and B respectively, and have a scale factor of a:b, thus, the ratio of their volumes would be expressed as:

Volume of solid A/Volume of solid B = a³/b³

or

Volume of solid A : Volume of solid B = a³ : b³

Thus, the given similar solids have a scale factor of 5:3, therefore, the ratio of their volumes would be expressed as shown below:

5³ : 3³

125 : 27

Thus, the ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.

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Answer:

8 tables

Step-by-step explanation:

ayee

Answer:

Step-by-step explanation:

8x + 12 = 3x + 5x + 12

8x + 12 = 8x + 12

Bringing like terms on one side

8x - 8x = 12 - 12

x = 0

Answer:

x = 1

Step-by-step explanation:

Answer:

5

_

2

IS THE SLOPE OF (2,5) (4,10)

Answer:

Slope = 5/2

Step-by-step explanation:

10-5

4-2

Answer:

76°

Step-by-step explanation:

The sum of the interior angles of any quadrilateral is 360°.

p = 360 - 60 - 134 - 90 = 76

the formula for density is given by

Mass

volume

now the density formula is