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3 years ago

Find the area and perimeter. Stuck on this one need help

Mathematics

1 answer:

masya89 [10]3 years ago

8 0

9514 1404 393

Answer:

area: 114 square units
perimeter: 44 units

Step-by-step explanation:

The figure is a trapezoid with bases 12 and 7, and a height of 12. The area formula is ...

A = (1/2)(b1 +b2)h

A = (1/2)(12 +7)(12) = 114 . . . square units area

The length of side AB can be found using the distance formula:

d = √((x2 -x1)^2 +(y2 -y1)^2)

d = √((6 -(-6))^2 +(1 -6)^2) = √(144 +25) = 13

The sum of the side lengths is then ...

13 +7 +12 +12 = 44 . . . units perimeter

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3 years ago

Which of the following represents "the square of the sum of a number and 4 is 36"? x2 + 42 = 36 x2 + 4 = 36 (x + 4)2 = 36

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<span>"the square of the sum of a number and 4 is 36"
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3 years ago

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Use f(x)=1/2x and f^-1(x)=2x to solve the problems f^1(-2), f(-4), f(f^-1(-2)?

neonofarm [45]

F^1(-2) = 2(-2) = -4
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3 years ago

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spin [16.1K]

Answer:

3) 18, 5.5, –7, –19.5, –32, … sequence is in Arithmetic Progression.

5) 16, 32, 48, 64, 80 sequence is in Arithmetic Progression.

Step-by-step explanation:

If, a, b, c ,k, e ... is a given sequence.

Then the above sequence is in AP if b - a = c - b = k - c = ...

or, each term has same COMMON DIFFERENCE (d).

Here, take each sequence and check for the value of d.

1) –5, 5, –5, 5, –5, …

Here, 5 - (-5) = 10, -5 - 5 = -10

and 10 ≠ -10. So the sequence is NOT in Arithmetic Progression.

2)96, 48, 24, 12, 6

Here, 48 - 96 = -48, 24 - 48 = -24

and -48 ≠ -24. So the sequence is NOT in Arithmetic Progression.

3)18, 5.5, –7, –19.5, –32, …

Here, 5.5 - 18 = -12.5 , -7 - 5.5 = -12.5 ..

and -12.5 is the common difference.

So the sequence is in Arithmetic Progression.

4)–1, –3, –9, –27, –81, …

Here, -3-(-1) = - 2 -9 - (-3) = -6

and -2 ≠ -6. So the sequence is NOT in Arithmetic Progression.

5)16, 32, 48, 64, 80

Here, 32 - 16 = 16 , 48 - 32= 16 ..

and 16 is the common difference.

So the sequence is in Arithmetic Progression.

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3 years ago

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