MATHEMATICS MIDDLE SCHOOL

Simplify the expression: (3 + 8i) − (4 + 2i).−1 + 6i
−1 + 10i
1 + 6i
1 + 10i

Answers

Answer 1
Answer:

The given expression simplified can be written as -1 + 6i. which is the correct answer that would be an option (A).

What is a complex number?

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib,

where a, and b are real numbers and i is an imaginary number.

To simplify the expression (3 + 8i) − (4 + 2i), we need to subtract the two complex numbers. To do this, we subtract the real parts and the imaginary parts separately.

The real part of the first complex number is 3, and the real part of the second complex number is 4.

Subtracting these gives us -1.

The imaginary part of the first complex number is 8, and the imaginary part of the second complex number is 2.

Subtracting these gives us 6. Therefore, the simplified expression is (-1) + (6i) = -1 + 6i.

Therefore, the correct answer is: -1 + 6i.

Learn more about the complex numbers here:

brainly.com/question/19007885

#SPJ2
Answer 2
Answer:

Answer:

-1+6i

Step-by-step explanation:

(3+8i)-(4+2i)

3+8i-4-2i

3-4+8i-2i

-1+6i

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F(x) = x2 + 2x please helpppp!!

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f=x+2..................

Definition: The statement formed when an equal sign is placed between two expressions is called an

Answers

Answer:

equation

example=2+3=5

PLEASE HURRY.Which expressions can be used to find the coordinates of the midpoint of PQ with endpoints P(3, –1) and Q(–7, –6)? Check all that apply.

((3+7)/2) can be used to find the x-coordinate of the point.

((-1-6)/2) can be used to find the y-coordinate of the point.

(–7 – 3) + 3 can be used to find the x-coordinate of the point.

(–6 – 1) – 1 can be used to find the y-coordinate of the point.

– 1 can be used to find the y-coordinate of the point.

Answers

we know that
the expression to find the x coordinate of the midpoint of PQ is
Mx=(x1+x2)/2
Mx=(Px+Qx)/2-----> (3-7)/2----> -2
 
the expression to find the y coordinate of the midpoint of PQ is
My=(y1+y2)/2
My=(PyQy)/2-----> (-1-6)/2----> -3.5

the midpoint is (-2,-3.5)

the answer is
((-1-6)/2) can be used to find the y-coordinate of the point.

The surface area of a right triangular prism is 228 square inches. The base is a right triangle with a base height of 6 inches and a base length of 8 inches. The length of the third side of the bae is 10 inches. Find the height of the prism.Please help meeeee!!!!!!

Answers

Answer:

The height of right triangular prism is 7.5 in.

Step-by-step explanation:

The base is a right triangle with a base height of 6 inches and a base length of 8 inches. The length of the third side of the base is 10 inches.

The area of a triangle is

A=(1)/(2)\tims base* height

A_1=(1)/(2)\tims 6* 8=24

Let the height of the prism be h.

Area of a rectangle is

A=length* width

A_2=6* h=6h

A_3=8* h=8h

A_4=10* h=10h

The surface area of a right triangular prism is

A=2* \text{Area of base}+\text{Area of three rectangles}

A=2* (A_1)+A_2+A_3+A_4

A=2* (24)+6h+8h+10h

A=48+24h

The surface area of a right triangular prism is 228 square inches.

228=48+24h

180=24h

h=7.5

Therefore the height of right triangular prism is 7.5 in.
look\ at\ the\ picture\n\nArea=228\ in^2\n\nArea=2A_1+A_2+A_3+A_4\n\n2A_1=2\cdot(6\cdot8)/(2)=48\ (in^2)\n\nA_2=8H\n\nA_3=6H\n\nA_4=10H

48+8H+6H+10H=228\n\n48+24H=228\ \ \ /-48\n\n24H=180\ \ \ /:24\n\nH=7.5\ (in)

In 2004, there were 19,396 bulldogs registered by the American Kennel Club. Approximately 86% of this number were registered in 2003. About how many bulldogs were registered in 2003?

Answers

To solve this problem you must find 86% of 19,396.
To do this, let's start by turning 86% a decimal to multiply.
86% will become 0.86
Now, we multiply 0.86 by 19,396.
We get the answer, 16680.56
The question says about, so we need to round it.
When rounded we get 16681.
That means 16681 bulldogs were registered in 2003.
Hope this helped you! :)

bob eats 6 apples in 2 days. how many days will it takes to eat a basket of apples containing 51 apples?

Answers

if he eat 6 apples in 2 days so we can say he eat 3 apple in 1 day so if we want to know in how many days he can eat 51 apple you can say 51 ÷ 3= 17 also we can say 1day / 3 apples = ? days / 51 apples ⇒ 51×1 / 3 = 17 so he can eat 51 apples in 17 days :))))
i hope this be helpful 
* happy new year * 
51/6=8.58.5*2=17It would take 17 days for Bob to eat a basket of apples containing 51 apples.
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