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2 years ago

What is the area of this figure? Enter your answer in the box.

Mathematics

2 answers:

ale4655 [162]2 years ago

8 0

Answer:

42 units squared

Step-by-step explanation:

break it up into smaller shapes. if you split the big shape at y = 2 and at y=-2, you'll get two triangles and one rectangle.

so the area of the rectangle = l x w

= 4 x 7

= 28

the area of the triangle is ( l x w )/2

= (7 x 2)/2

= 7

the other triangle is the same too

so the area of that is also 7.

now add all areas,

7+7+28 = 42

Alexus [3.1K]2 years ago

6 0

Answer:

42 sq. units

Step-by-step explanation:

I don't know if there's an easier way to do this but this is what I came up with. We can break this hexagon into 2 triangles and a rectangle (the 1st triangle using the top 3 points, the 2nd using the bottom 3, and the rectangle using the "middle" ones).

Rectangle area: 7*4 = 28

Triangles (they are equal) : 2*(1/2*7*2) = 14

28+14 = 42

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3 years ago

Given the system

Irina-Kira [14]

we have

y > -2 x + y < 4

using a graph tool

see the attached figure

The shaded area is the solution of the system

Part 1) Name an ordered pair that is a solution to this system and explain how you know that this is a solution point

Let

A ( -40,20)

The point A is solution of the system because the point lie on the shaded area

Check

If the point A is solution of the system must satisfy both system inequalities

point A

x=-40

y=20

substitute

y > -2-------> 20 > -2-------> is ok

x + y < 4----> -40+20 < 4-----> -20 < 4-----> is ok

therefore

the answer Part 1) is

The point A is a solution of the system

Part 2) Name an ordered pair that is not a solution to the system and explain how you know that it is not a solution

Let

B(20,20)

The point B is not solution of the system because the point not lie on the shaded area

Check

If the point B is not solution of the system must not satisfy both system inequalities

point B

x=20

y=20

substitute

y > -2 -------> 20 > -2-------> is ok

x + y < 4---->20+20 < 4-----> 40 < 4------> is not ok

therefore

the answer part 2) is

The point B is not a solution to the system

6 0

2 years ago

The sum of Ali and Mel's age is 39. If Mel is 3 years younger than twice Ali's age, how old is Mel?

olga55 [171]

Answer:

Age of Mel is 25 years.

Step-by-step explanation:

It is given that,the sum of Ali and Mel's age is 39. If Mel is 3 years younger than twice Ali's age.

Let 'x' be the Ali's age and 'y' be the Mel's age

To find the value of x and y

sum of Ali and Mel's age is 39

⇒ x + y = 39 ------(1)

Mel is 3 years younger than twice Ali's age

⇒ y = 2x - 3 -------(2)

⇒ 2x - y = 3 -----(3)

(1) + (3) ⇒

x + y = 39

2x - y = 3

----------------

3x = 42

x = 42/3 = 14

y = 2x - 3 = 14*2 - 3 = 25

Therefore the age of Ali = 14

Age of Mel = 25

4 0

2 years ago