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Answer:

63+22i

Step-by-step explanation:

(8 - 3i)(6 + 5i)

FOIL

first: 8*6 = 48

outer: 8*5i = 40i

inner: -3i* 6 = -18i

last: -3i*5i = -15 i^2 = -15(-1) = 15

Add together

48+40i -18i +15

Combine like terms

63+22i

Answer:

"-2" is the same in all expressions, and it's just plus or minus. so let's ignore the "-2" and look only at the rest

+1 is the greatest then

so -2+1 is the greatest

Answer:

13

Step-by-step explanation:

Prime numbers are only divisible by 1 or themselves.

No other factors

Answer:

36 boys

Step-by-step explanation:

let x be the number of pupils in the class , then

[tex]\frac{3}{5}[/tex] x + 24 = x ( multiply through by 5 to clear the fraction )

3x + 120 = 5x ( subtract 3x from both sides )

120 = 2x ( divide both sides by 2 )

60 = x

Then

number of boys = [tex]\frac{3}{5}[/tex] × 60 = 3 × 12 = 36

Step-by-step explanation:

the answer is in the image above

i hope you guys didn't have to suffer thru the rest like I did c,:

here is THE REST OF THE ANSWERS!

Step-by-step explanation:

THE ENTIRE PICTURE ABOVE IS CORRECT, BUT AFTER THAT THE NEXT ANSWERS ARE.....

8. angle LNO is congruent to angle NLM because of CPCTC

9. segment ON is parallel to segment LM because of converse of the alt. int. angles theorem

10. segment LO is parallel to segment MN because of converse of the alt. int. angles theorem

11. LMNO is a parallelogram because of the def. of a parallelogram

I just did all of these on edg. 2022 and they're correct. have a great day/night you guys and good luck!

We will use the converse of alternate interior angles theorem  to prove LMNO is a Parallelogram.

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length, and the opposite angles of a parallelogram are of equal measure.  

The proof is as follows:

Statements                                                   Reasons

1) LO ≅ MN                                                        Given

2) ON ≅ LM                                                       Given

3) LN ≅ LN                                                     Reflexive property

4) Δ LON ≅ Δ NML                                       SSS congruency rule

5) ∠ NLO ≅ ∠ LNM                                         CPCTC

and ∠ MLN ≅ ∠ LNO              

6) LM ║ ON and LO ║ MN   converse of alternate interior angles theorem

7) LMNO is a Parallelogram                  Property of Parallelogram  

For more references on Parallelogram, click;

https://brainly.com/question/29147156

#SPJ2

Answer:

b is the right answer

Step-by-step explanation:

Answer:

x = 27

Step-by-step explanation:

3x - 4y = 65

3x = 65 + 4y

Find x, when y = 4

3x = 65 + 4 (4)

3x = 65 + 16

3x = 81

x = 27             [tex][ \ x = \frac{81}{3}\ ][/tex]                    

Answer:

4.84 pi

Step-by-step explanation:

[tex]area = \pi \times {r}^{2} [/tex]

Answer:

484pim^2(d)

Step-by-step explanation:

pir^2

pi(22)^2

484pi

Answer:

DAC = 54

Step-by-step explanation:

90 - 36 = 54

54 degrees

Answer:

What’s the question

Step-by-step explanation:

Answer:

αѕ hєrє thє ѕhσє rαngє íѕ gívєn = 3

αnd thє lєє fαmílч íѕ cσnѕíѕtєd σf thrєє pєσplє

thє ѕhσє ѕízє σf twσ pєσplєѕ = 6

wє knσw thαt rαngє = highest observation - lowest observation

so there are two probalities that lee s shoe size can be higher than the other two members by 3 units or greater than the other two members by 3 units

but one limitation given here that the lee shoe size is not smaller than the other two members by 3 units

so lee s shoe size = 6+3= 9 (ans)

Answer:

x=15 y=24

Step-by-step explanation:

This is because the rule is x goes up 3 y goes up 4

(9,12)->(x,20)

it skips one, so instead of adding 3 we add six

x=15

(15,20)->(18,y)

you follow the rule and 4.

Y=24

Answer:

Step-by-step explanation:

An exponent or index is a number or letter written above and to the right of a mathematical expression called the base.

It indicates that the base is to be raised to a certain power.

Here,

3, 4 and 12 are the letters which are written above the base 2.

So,

3, 4 and 12 are exponent or index

Answer:

653 is the total suface area

Step-by-step explanation:

i have all the math in the note book but i can explain it very simply you find the area of the big base which is 120 the side of 12 which equals 84 and the side of ten which equals 70 and multiply them all by two which gives you 548 then you multiply the base of the small figure (only count one of the shapes bases btw) and that equals 9 the you find the sides which are 24 each this gives you 96 + 548 = 644 +9 = 653 and there is your answer

Answer:

644in~2

Step-by-step explanation:

acellus 2022 ;)

Answer:

Option D

Step-by-step explanation:

Given polynomial :-

=> 2x - 4x³ -7 + 6x²

Here the highest degree of variable is 3 ,

Therefore it is a cubic polynomial .

Answer: (5, 0) and (3, 4)

Answer:

You will save $20.

Step-by-step explanation:

IMPORTANT FORMULA: TO CONVERT A NUMBER TO A PERCENT, YOU HAVE TO MULTIPLY BY 100. TO CONVERT A PERCENT TO A NUMBER, YOU HAVE TO DIVIDE BY 100.

1) Some percent of an amount is what?  

Using the formula above, I can conclude that 40% is equal to 40/100=4/10=2/5

2) Translate into an equation.

It is important to keep in mind that we are trying to find 40% of $50 in order to find out how much money will be saved.

In the above step, we already found that 40% = 2/5.

I also know that, in mathematics, the word "of" means multiplication.

Therefore, I am trying to find 40% of $50 is the same as 2/5 * $50.

2/5 * $50 = x    ------ (x represents the money saved)

3) Solve for variable.

$20 = x

4) Write a sentence to answer the question.

You will save $20.

Answer:

The answer is below

Step-by-step explanation:

A function shows the relationship between the set of inputs (independent variable) to the set of outputs (dependent variables).

The domain of a function is the set of possible inputs (independent variable) that satisfies the functions.

From the question, the domain of the function is the set of all possible vales of the inputs which is a (number of album sold).

Hence the domain of the function is:

0 < a < ∞

Answer:

y = 2x -11

Step-by-step explanation:

The equation of  a line that passes through point x1, y1 is given as

y - y1 = m (x - x1)

where m is the slope of the line

Given that the line passes through the point (8,5) and has a slope of 2, the equation of the line

y - 5 = 2 (x - 8)

y - 5 = 2x - 16

add 5 to both sides

y = 2x - 16 + 5

y = 2x -11

Answer:

[tex]x=7\\y=128\\z=128[/tex]

Step-by-step explanation:

Value of x:-

Form an equation:

[tex]4x+24=7x+3[/tex]  {opposite / vertical angles are equal}

Subtract 7x from both sides:

[tex]4x+24-7x=7x+3-7x[/tex]

[tex]-3x+24=3[/tex]

Subtract 24 from both sides:

[tex]-3x+24-24=3-24[/tex]

[tex]-3x=-21[/tex]

Divide both sides by -3

[tex]-3x/-3=-21/-3[/tex]

[tex]x=7[/tex]

Value of y and z:-

Value of x is 7 so replace x in the equations:

[tex]4(x)+24=52\\7(7)+3=52[/tex]

Now that we have the value of x, its easy to find y and z

[tex]52+52+y+z=360[/tex]

{complete circle makes 360°}

[tex]104+y+z=360[/tex]

[tex]y+z=360-104[/tex]

[tex]y+z=256[/tex]

Divide 256 by 2 to get value of each variable:

vertically opposite angles (y & z) are equal

[tex]256/2 = 128[/tex]

[tex]y=128\\z=128[/tex]

∴ CHECK: 128 + 128 + 52 + 52 = 360°

hope this helps...

Answer:

X=7

Y and Z = 128

Step-by-step explanation:

7X+3=4X+24

it is equal coz by the opposite angle

find the value of X

7x+3=4x+24--------------collect like term

3x=21----------divided by 3

x=7

then 7x+3=52

4x+24=52

SR is the line that measure 180°

that means (7x+3)+Z=180°

use the value of X into the equation

Z=180-52

Z=128

it means Z and Y are equal so Y= 128

Answer:

No, it cannot be correct.

Step-by-step explanation:

1/5 of 24 is 4.8.

This would mean that Mary would have identified 4.8 animals.

This is logically incorrect, because the number of animals has to be a full number. There cannot be any decimals, or parts of animals.

So, this cannot be correct.

Answer: uhh 76t4

Step-by-step explanation: words here

Answer:

Step-by-step explanation:

First get everything on the same side of the equals sign and set the quadratic equal to 0:

[tex]x^2+x-5=0[/tex] where a = 1, b = 1, c = -5:

[tex]x=\frac{-1+-\sqrt{1^2-4(1)(-5)} }{2(1)}[/tex] which simplifies down a bit to

[tex]x=\frac{-1+-\sqrt{21} }{2}[/tex] and your 2 solutions are

[tex]x=\frac{-1+\sqrt{21} }{2}[/tex]  and  [tex]x=\frac{-1-\sqrt{21} }{2}[/tex]

Answer:

The common difference is definitely 3. The common difference is the difference between the numbers in a sequence. In the sequence 3,6,9,12, and 15 the common difference is 3.

Answer:

one solution only

Step-by-step explanation:

16y + 7 = -3y + 10 + 8y

16y + 3y - 8y = 10 - 7

11y = 3

y = 3/11

Answer:

The average velocity of the particle is [tex]\vec {v}_{avg} = 4\,\hat{i} +24\,\hat{j}\,\left[\frac{m}{s} \right][/tex].

Step-by-step explanation:

In vector terms, the average velocity of a particle ([tex]\vec v_{avg}[/tex]), in meters per second, at a given time change ([tex]\Delta t[/tex]), in seconds:

[tex]\vec v_{med} = \frac{\Delta x}{\Delta t}\,\hat{i} + \frac{\Delta y}{\Delta t}\,\hat{j}[/tex] (1)

Where [tex]\Delta x[/tex] and [tex]\Delta y[/tex] is the change in position for x and y axes, in meters.

[tex]\Delta x = x(2) - x(1)[/tex]

[tex]\Delta x = (4\cdot 2 - 1)-(4\cdot 1 - 1)[/tex]

[tex]\Delta x = 4\,m[/tex]

[tex]\Delta y = y(2) - y(1)[/tex]

[tex]\Delta y = 8\cdot (2)^{2}-8\cdot (1)^{2}[/tex]

[tex]\Delta y = 24\,m[/tex]

[tex]\Delta t = 2\,s - 1\,s[/tex]

[tex]\Delta t = 1\,s[/tex]

[tex]\vec v_{avg} = \left(\frac{4\,m}{1\,s}\right)\,\hat{i} + \left(\frac{24\,m}{1\,s} \right) \,\hat{j}[/tex]

[tex]\vec {v}_{avg} = 4\,\hat{i} +24\,\hat{j}\,\left[\frac{m}{s} \right][/tex]