A student said that the surface area of the figure below was 57.4 square centimeters. Is the student correct? Explain.

  no

Step-by-step explanation:

The surface area is the sum of the areas of the faces.

There are 4 faces that are 5 cm wide. Their respective heights (from front, over the top) are ...

  1 cm, 2.5 cm, 2 cm, 2.3 cm

for a total height of 7.8 cm. Thus, those 4 faces have a total area of ...

  (5 cm)(7.8 cm) = 39.0 cm^2

__

The two trapezoidal faces each have bases of length 1 and 2 cm, and a "height" of 2.3 cm. Together, their areas are ...

  A = 2×(1/2)(b1 +b2)h = (b1 +b2)h

  A = (1 cm +2 cm)(2.3 cm) = 6.9 cm^2

__

The surface area of the entire trapezoidal prism is then ...

  total area = base area + lateral area = 6.9 cm^2 +39 cm^2

  total area = 45.9 cm^2

The student's answer of 57.4 cm^2 is not correct. (We don't know where that calculation came from.)

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

)

can i get the link to the assignment?

step-by-step explanation: