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3 years ago

Find the area of a figure whose coordinates are A(-2, 2), B(2, 2), C(2, -2) and D(-2, -2).

Mathematics

2 answers:

DerKrebs [107]3 years ago

8 0

Using my makeshift coordinate plane (where every two squares is a multiple of 2), you can see that there is a distance of 4 units between each coordinate, A to B to C to D. Because of this information, you can use the area formula for a rectangle: A = l * w:

A = l * w
A = 4 * 4
A = 16 square units or 16 units²

hram777 [196]3 years ago

4 0

You first have to find the length of each side.
AB=4
BC=4
CD=4
AD=4

Since this is a quadrilateral, two sides will have the same length, in this case, they all do so you can pick any two sides.

4(4)=16.

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How to set the answer up

Korolek [52]

Let s and g represents the numbers of suits and gowns produced.

The number of zippers used is 2s+g.

The number of buttons used is 5s+8g.

In order to use all of the available zippers and buttons, we must have ...

2s + g = 171
5s + 8g = 576

Cramer's rule tells you the solution to the system

ax +by = c
dx +ey = f

Is given by

x = (bf-ey)/(bd-ea)
y = (cd-fa)/(bd-ea)

Using this rule on the equations for zippers and buttons, we have

... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72

... g = (171·5 -2·576)/-11 = -297/-11 = 27

72 suits and 27 gowns can be made from available zippers and buttons.

3 0

3 years ago

33 1/3% of 75 plz help

Paraphin [41]

The answer is 25

x 33 1/3% = 75

75 / 33 1/3

0.3333

(75)(0.333) = 25

24.9999999 rounds to 25

Hope this helps, have a BLESSED day! :-)

6 0

2 years ago

Write the equation of the line parallel to 5x + y = -2 that goes through the point (2, -3).

gladu [14]

Answer:

y = -5x + 7

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define

5x + y = -2

Random point (2, -3)

Step 2: Rewrite

y = -5x - 2

m = -5

Step 3: Write parallel line

y = -5x + b

-3 = -5(2) + b

-3 = -10 + b

7 = b

y = -5x + 7

8 0

2 years ago

The employees of two companies were asked how many times they checked their email during weekends. The table below shows the num

tekilochka [14]

Q1 of company A = 2.5
Q3 of company A = 8
Interquatile range = (Q3 - Q1)/2 = (8 - 2.5)/2 = 5.5/2 = 2.75

Q1 of company B = 2
Q3 of company B = 5.5
Interquatile range = (5.5 - 2)/2 = 3.5/2 = 1.75

Therefore, the interquartile range for Company A employees is 2 more than the interquartile range for Company B employees.

3 0

2 years ago

Read 2 more answers

Write the equation of a linear function for which f=(-4)=0 and f=(0)=-2

densk [106]

Answer:

y = -0.5x - 2

Step-by-step explanation:

equation: f(x) = mx + b

f(-4) : -4m + b = 0 ...(1)

f(0): 0m + b = -2 b = -2 ... plug in (1)

-4m - 2 = 0

m = - 1/2 = - 0.5

linear equation: y = -0.5x - 2

6 0

2 years ago