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timama [110]
3 years ago
12

Find the area of rectangle ABCD

Mathematics
1 answer:
zubka84 [21]3 years ago
8 0
Find the length of the rectangle with pythagoras
You can use point (0,0) and (3,3) as the reference points.
l = √(Δx² + Δy²)
l = √((3-0)² + (3-0)²)
l = √(3² + 3²)
l = √18

Find the width of the rectangle with pythagoras
You can use point (0,0) and (2,-2) as the reference points.
w = √(Δx² + Δy²)
w = √((-2-0)² + (2-0)²)
w = √((-2)² + 2²)
w = √(4 + 4)
w = √8

Find the area of rectangle
A = l × w
A = √18 × √8
A = √9 × √2 × √4 × √2
A = 3 × √2 × 2 × √2
A = 12

The area of the rectangle is 12 unit length
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Which represents the polynomial written in standard form? 4m – 2m4 – 6m2 + 9 9 + 4m + 2m4 – 6m2 2m4 – 6m2 – 4m + 9 9 – 6m2 + 4m
Alenkasestr [34]

Answer:

- 2m^4 - 6m^2 + 4m  + 9

Step-by-step explanation:

Given

4m - 2m^4 - 6m^2 + 9

Required

Express in standard form

To do this, we simply reorder the terms of the polynomial in descending order of power.

So, we have:

- 2m^4 - 6m^2 + 4m  + 9

4 0
3 years ago
Read 2 more answers
If x2 - y2 = 12 and x - y = 4, what is the value
ira [324]

Step-by-step explanation:

x²-y²=12

(x-y)(x+y)=12

but x-y=4

4(x+y)=12

x+y=12/4

x+y=3

lets make x the subject of the formula

x=3-y

since x-y=4

(3-y)-y=4

3-y-y=4

-2y=1

y=-1/2

then x=3-y

x=3-(-1/2)

x=(6--1)/2

x=7/2

therefore; x²+2xy+y

=(7/2)²+2×7/2×-1/2+(-1/2)

=49/4-7/2-1/2

=(49-14-2)/4

=33/4

=8.25

=8

6 0
3 years ago
A model of ------- behavior, Cunningham never ate or
Eduardwww [97]

A model of  <u>temperate</u> behavior, Cunningham never ate or drank to excess.

The correct option A.

<h3>Explanation:</h3>

"Temperate" in this context refers to moderation in the indulgence of appetite. If one were to insert this term into the text, the sentence would read "A model of temperate behavior, Cunningham never ate or drank to excess." The comma indicates that the second half of the sentence will illustrate Cunningham's behavior. Someone who never consumes too much does indeed exhibit "temperate behavior."

<h3>What is temperate behavior?</h3>

Temperate denotes gentle or moderate. Temperate people are calm and reasonable. It's warm and sunny, but not too hot if you live in a temperate climate. Temperate, like other terms with similar sounds, has to do with measurement and range.

To know more about temperate behavior visit:

brainly.com/question/17173491

#SPJ4

3 0
2 years ago
Parallelogram PARL is similar to parallelogram WXYZ. If AP = 14, PL = 25, and WZ = 100, find the value of c.
evablogger [386]
100=25*4, so the other side needs to be multiplied by 4. 14*4=56. it's 56.
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3 years ago
Simplify (-9)×5×6(-3)​
hjlf

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