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3 years ago

(3 + i) - (2-21) Simplify the expression

Mathematics

1 answer:

denpristay [2]3 years ago

6 0

Answer:22+i

Step-by-step explanation:

(3+i)-(2-21)

3+i-2+21

22+i

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On your paper, construct a rectangle on a coordinate plane that satisfies these criteria.

german

Answer:

$A = (5,3)$

$B = (-5,3)$

$C = (-5,-8)$

$D = (5,-8)$

Step-by-step explanation:

Required

$Perimeter = 42$

Construct a rectangle whose perimeter is 42 units and satisfies the given conditions.

First, name the rectangle ABCD.

Such that:

$A = (x_1,y_1)$

$B = (x_2,y_2)$

$C = (x_3,y_3)$

$D = (x_4,y_4)$

For the rectangle to be either horizontal or vertical, then:

$y_1 = y_2$ and $y_3 = y_4$

We have that:

$Perimeter = 42$

Replace perimeter with its formula

$2(AB + BC) = 42$

Divide both sides by 2

$AB + BC = 21$

This implies that, the distance between adjacent sides (through the edges) must be equal to 21

Having said that: a set of coordinates that satisfy the given conditions are:

$A = (5,3)$ -- First quadrant

$B = (-5,3)$ -- Second quadrant

$C = (-5,-8)$ -- Third quadrant

$D = (5,-8)$ -- Fourth quadrant

The above quadrants satisfy the condition:

$y_1 = y_2$ and $y_3 = y_4$

HOW TO KNOW THE PERIMETER IS 42

To do this, we simply calculate the distance between the edges and add them up

Distance is calculated as:

$D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2$

For AB

$A = (5,3)$

$B = (-5,3)$

$D_1 = \sqrt{(5 - (-5))^2 + (3 - 3)^2}= \sqrt{(10)^2 + (0)^2} = \sqrt{100} = 10$

For BC

$B = (-5,3)$

$C = (-5,-8)$

$D_2 = \sqrt{(-5 - (-5))^2 + (3 - (-8))^2}= \sqrt{(0)^2 + (11)^2} = \sqrt{121} = 11$

For CD

$C = (-5,-8)$

$D = (5,-8)$

$D_3 = \sqrt{(-5 -5)^2 + (-8 - (-8))^2}= \sqrt{(-10)^2 + (0)^2} = \sqrt{100} = 10$

For DA

$D = (5,-8)$

$A = (5,3)$

$D_4 = \sqrt{(5 -5)^2 + (-8 -3)^2}= \sqrt{(0)^2 + (11)^2} = \sqrt{121} = 11$

So, the perimeter is:

$P = D_1 + D_2 + D_3 + D_4$

$P = 10 + 11 + 10 +11$

$P = 42$

See attachment for rectangle

8 0

3 years ago

Is y= |x|-1 a linear equation

natita [175]

Answer:

y=x-1

Step-by-step explanation:

those lines by the x are absolute value lines and the absolute value of x is x so the equation basically stays the same

8 0

4 years ago

119.31 is 82% of what number

madam [21]

To solve
82% of x = 119.31
rewrite
x = 119.31/0.82
solve
x ≈ 145.5

Hope this helps :)

5 0

3 years ago

Read 2 more answers

A line's y-intercept is 1, and its slope is -5. What is its equation in

hram777 [196]

Y=-5x+1

Slope intercept form is y=mx+b

m is slope and b is the y-intercept

7 0

3 years ago

Read 2 more answers

(GIVING BRAINLIEST!!!) L i nk Is below!! Keep in mind, you don't have to answer all of it xd

dsp73

Answer:

1). 1/8

2). 1/10

3). 1/15

4). 1/16

4 0

3 years ago