Find the area of the following shape? hurr

For this case we have that the figure is composed of a triangle and a trapezoid. Then we find their areas:

Triangle:

Where:

b: It's the base

h: It is the height

According to the figure we have:

Substituting:

Trapezoid:

Where:

Base 1

Base 2

h: It is the height

According to the figure we have:

Substituting:

Finally, the total area is:

8 units^2

Step-by-step explanation:

separate it into 2 figures: a top triangle and a side trapezoid

area of top triangle: 4*2/2=4

area of trapezoid: (1+3)*2/2=4

4+4=8

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)