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frozen [14]
2 years ago
11

A rectangle has a length of 3x+5 units and a width of x+5 units. A second rectangle has an area of 4x^2-5x+6 square units. What

is the total area of the two rectangles?
Please show work.
Mathematics
2 answers:
natima [27]2 years ago
7 0

Answer:

7x^2+15x+31

Step-by-step explanation:

(3x+5)(x+5)

FOIL

3x^2+15x+5x+25

(3x^2+20x+25)+(4x^2-5x+6) = 7x^2+15x+31

Fynjy0 [20]2 years ago
5 0

Step-by-step explanation:

The distance from one corner of a rectangle to the opposite corner is sometimes called the diagonal and is given by (w2+h2)1/2

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Answer:

56°

Step-by-step explanation:

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2 years ago
D. Evaluate each of the following. (5 points)
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Problem 1

f(x) = x + 1/x

f(1) = 1 + 1/1

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f(1) = 2

Answer: 2

============================================

Problem 2

(f o f)(1) = f( f(1) )

(f o f)(1) = f( 2 )

(f o f)(1) = 2 + 1/2

(f o f)(1) = 4/2 + 1/2

(f o f)(1) = 5/2

Answer:  5/2

============================================

Problem 3

(f o f o f)(1) = f(  f(f(1)) )

(f o f o f)(1) = f(  (f o f)(1) )

(f o f o f)(1) = f(  5/2 )

(f o f o f)(1) = 5/2 + 1/(5/2)

(f o f o f)(1) = 5/2 + 2/5

(f o f o f)(1) = 25/10 + 4/10

(f o f o f)(1) = 29/10

Answer: 29/10

============================================

Problem 4

(f o f o f o f)(1) = f(   f(f(f(1))   )

(f o f o f o f)(1) = f(   (f o f o f)(1)    )

(f o f o f o f)(1) = f(   29/10   )

(f o f o f o f)(1) = 29/10 + 1/(29/10)

(f o f o f o f)(1) = 29/10 + 10/29

(f o f o f o f)(1) = 841/290 + 100/290

(f o f o f o f)(1) = 941/290

Answer: 941/290

============================================

Problem 5

(f o f o f o f o f)(1) = f(   f(f(f(f(1))))   )

(f o f o f o f o f)(1) = f(   (f o f o f o f)(1)  )

(f o f o f o f o f)(1) = f(   941/290  )

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(f o f o f o f o f)(1) = 941/290 + 290/941

(f o f o f o f o f)(1) = 885481/272890 + 84100/272890

(f o f o f o f o f)(1) = 969581/272890

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