What is the simplified form of (- 7+ 8i) - (- 5i + 4i?)?

[tex]\boxed{\boxed{\pink{\bf \leadsto Perimeter\ of \ cross\ shaped \ pattern \ is \ 128cm. }}} [/tex]

Given that a cross shaped pattern is made by arranging four identical rectangles around the side of the square . The area of square is 64cm².

So , let's find the side of the square :-

[tex]\bf\implies\orange{Area_{square}=(side)^2}\\\\\bf\implies a\times a = 64cm^2\:\:\bigg\lgroup \red{\sf Assuming \ side \ to \ be \ a }\bigg\rgroup \\\\\bf\implies a^2 = 64cm^2 \\\\\bf\implies a=\sqrt{64cm^2} \\\\\implies\boxed{\purple{\bf a = 8cm }}[/tex]

Hence the side of square is 8cm .

Now , breadth of rectangle will be 8cm.

Now its given that the area of rectangle is 1½ times the area of square. So ,

[tex]\bf\implies Area_{rec.} = \dfrac{3}{2} \times Area_{square} \\\\\bf\implies Area_{rec.} = \dfrac{3}{2} \times 64 cm^2 \\\\\bf\implies \boxed{\red{\bf Area_{rectangle}= 96cm^2}}[/tex]

Hence side will be :-

[tex]\bf\implies lenght \times breadth = 96cm^2\\\\\bf\implies 8cm \times l = 96cm^2\\\\\bf\implies l =\dfrac{96cm^2}{8cm}\\\\\bf\implies \boxed{\red{\bf lenght = 12cm }}[/tex]

Hence the lenght of rectange is 12cm .

Now , the perimeter of the given figure will be ,

[tex]\bf\implies Perimeter_{cross} = 8(lenght) + 4(breadth) \\\\\bf\implies Perimeter_{cross} = 8\times 12cm + 4\times 8cm \\\\\bf\implies Perimeter_{cross} = 96cm + 32cm \\\\\bf\implies \boxed{\red{\bf Perimeter_{cross} = 128cm }}[/tex]

Answer:

3rd one

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

x = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Given

x - [tex]\frac{2}{3}[/tex] = [tex]\frac{2}{3}[/tex] ( isolate x by adding [tex]\frac{2}{3}[/tex] to both sides )

x = [tex]\frac{4}{3}[/tex]

Answer:  

10

Step-by-step explanation:

6 x 10(x) = 60

60+12=72

hope this helps!

Answer:

It will be 2.83 inches long on the drawing

Step-by-step explanation:

The scale we have is;

0.5 in to 3 ft

This;

x in to 17

17 * 0.5 = 3 * x

8.5 = 3x

x = 8.5/3

x = 2.83 inches

Answer:

2.83

Step-by-step explanation:

I took the Quiz

Answer:

Yes

Step-by-step explanation:

4 < 3(2) + 6

4< 6+6

4 < 12

Answer:

Algebraically determine the solution set of the following system of equations. y = 3x + 6

y = (x +4)^2 - 10

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Favorable events/total events

favorable: 1 black counter

total: 1+3=4

Answer:

wouldn’t it be a 1 out of 6 chances since there is 6 sides on the dice

ANSWER: 1/6

Step-by-step explanation:

A fairly basic and fundamental problem in Probability, but still worth doing as an example of good mathematics.

Assumptions

The number cube is fair, that is not biased in any manner.

Key Points to Note.

Each roll of the number cube is an Independant Event, that is the outcome of any toss has no impact whatsoever on the outcome of any other toss.

The Probability of NOT achieving a specific outcome is equivalent TO ACHIEVING all other outcomes.

The Probability of achieving two sequential outcomes, is the Probability of achieving the first outcome multiplied by the Probability of achieving the second.

Analysis

What is the probability of rolling a 3 on a 6-sided number cube and then NOT rolling a 3 on a 6-sided number cube?

There are 6 sides on the number cube, each with an equal probability of being a specific outcome.

Therefore the Probability of a 3 as the outcome, is ( 1/6 ).

What is the probability of NOT rolling a 3 on a 6-sided number cube?

The Probability of NOT rolling a 3, is the same as either 1 - Probability (3) or Probability (1, 2, 4, 5, 6), which is equivalent to ( 5/6 )

Sequential Probabilities.

What is the probability of rolling a 3 on a 6-sided number cube AND THEN NOT rolling a 3 on a 6-sided number cube?

P( 3 ) then P( Not a 3 ) = ( 1/6 ) * ( 5/6 ) which equals ( 5/36 )

A Further Point to Note

Because the two rolls of the number cube are independant, the final probability is independant of the order of which outcome is first sought.

well what do you want to know???

Answer:t=32/27

Step-by-step explanation:

3/4t=8/9

(4/3)(3/4)t=(4/3)(8/9)

t=32/27

Hope it helps

Answer:

=25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex] , then

[tex]125^{\frac{2}{3} }[/tex]

= [tex]\sqrt[3]{25^2}[/tex]

= [tex]\sqrt[3]{15625}[/tex]

= 25

Answer:

8/15

Step-by-step explanation:

Answer:

Cylinder

....................................................................

Answer:

-43

Step-by-step explanation:

The sum of the expression (3m+2n-6) and (-4-6m+7n) when m = 5 and n = -2 is -43.

An algebraic expression consists of unknown variables, numbers and arithmetic operators.

Given are two expressions, (3m+2n-6) and (-4-6m+7n)

Putting m = 5 and n = -2, we get,

(3m+2n-6) = 3x5-2x2-6 = 15-4-6 = 15-10 = 5

(-4-6m+7n) = -4-6x5-7x2 = -4-30-14 = -30-18 = -48

(3m+2n-6) + (-4-6m+7n) = -48+5 = -43

Hence, The sum of the expression (3m+2n-6) and (-4-6m+7n) when m = 5 and n = -2 is -43.

For more references on expression, click;

https://brainly.com/question/14083225

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Answer:

B

Step-by-step explanation:

this equation is in the form of ax^2+bx+c

so a is 4, b is -9, and c is 8

Answer: its B

lead coefficient: 4x^2

coefficient: -9x

constant: 8

Answer:

50.75m=5075cm=50,750mm

Step-by-step explanation:

50.75m=5075cm=50,750mm

Answer:

A: -4 <-1

B: -2 < -1

C: 2> -5

D:2> -1

negative

Step-by-step explanation:

i did the assignment mark as brainliest?

The new true inequality are:

A = -4 < -1

B = -2 < -1

C = 2 > -5

D = 2 > -1

The inequality symbol is only reversed when dividing by a negative number.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

A:

8 > 2

8/-2 > 2/-2

-4 < -1

B:

-10 < -5

-10/5 < -5/5

-2 < -1

C:

16 > -40

16/8 > -40/8

2 > -5

D:

-8 < 4

-8/-4 > 4/-4

2 > -1

Thus,

A = -4 < -1

B = -2 < -1

C = 2 > -5

D = 2 > -1

Learn more about inequalities here:

https://brainly.com/question/20383699

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Answer:

The inequality is 6 + 3x ≤ 12 or x ≤ 2 .

Step-by-step explanation:

Given that $6 is for admission which is a fixed amount, $3 is charged per hour and must not spend more than $12. So the inequality will be :

Let x be the no. of hours,

6 + 3x ≤ 12

Solve :

6 + 3x ≤ 12

3x ≤ 12 - 6

3x ≤ 6

x ≤ 6 ÷ 3

x ≤ 2

Answer:

X + 6 ≤ 12

Step-by-step explanation:

3x + 6 ≤ 12

-6 -6

3x ≤ 6

/3 /3

x ≤ 2

Answer:

There are multiple answers depending on what you're looking for (down below)

Step-by-step explanation:

To SIMPLIFY or STANDARD FORM or EVALUATE: -x+25

to FACTOR the polynomial: -(x-25)

Solve for x: invalid

Find DOMAIN & RANGE : - ♾ , ♾

find X & Y INTERCEPT: x intercept: 25,0 y intercept: 0,25

finding INVERSE: f-1(c) = -x + 25

lmk if anything is wrong :)

Answer:

Step-by-step explanation:

because if you add 18x to both sides of the equation and simplify, you get 0= -18. C.) because if you subtract 18x from both sides of the equation and simplify, you get.

Answer:

Please show me the anwers

Step-by-step explanation:

Answer: domain: (-∞,∞), {x |x∈  R}

range: (0,∞), { y | y > 0 }

asymptote: y=0

y-intercept: (0,1)

Answer:

sequences and series

Step-by-step explanation:

terms to know:

sequence

series

divergent

convergent

infinite seies

arithmetic series

geometric series

ik im late asl but points

Answer:

y−0.5=3(x−4)

y minus 0 point 5 is equal to 3 times open paren x minus 4 close paren

Step-by-step explanation:

The choice that best describes the center of the data is the median.

Description of median

Median is a measure of central tendency. Median can be defined as the number that occurs in the center of a set of numbers that are arranged either in ascending or descending order.

For example, the median in these set of numbers; 100, 150, 200, 220, 250 is 200. This is because 200 is at the center of the data.

To learn more about median, please check: https://brainly.com/question/12528427

Answer:

x = 3 sqrt(2) + 5 , x = -3 sqrt(2) + 5

Step-by-step explanation:

3(x - 5)^2 = 54

(x - 5) ^ 2 = 18

x - 5 = sqrt 18

x - 5 = 3 sqrt(2), -3 sqrt(2)

x = 3 sqrt(2) + 5, x = -3 sqrt(2) + 5

Hope this helps!

Answer:14

Step-by-step explanation:

All of them are divisible by 14

You can see that if you prime factor them