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LiRa [457]
3 years ago
5

What is the combined perimeter of these two rectangles?

Mathematics
2 answers:
ElenaW [278]3 years ago
5 0

Answer:

D

Step-by-step explanation:

Perimeter is sum of all sides:

Purple rectangle:

Perimeter = 2[2x+7 + 4x+5]

= 2[6x + 12]

= 12x + 24

White rectangle:

Perimeter = 2[3x + 3x+14]

= 2[6x + 14]

= 12x + 28

Total Perimeter:

12x + 24 + 12x + 28

= 24x + 52

o-na [289]3 years ago
3 0

Answer:

D) 24x + 52

Step-by-step explanation:

The perimeter of the shaded rectangle

P = 2(l+w)

   = 2(4x+5  + 2x+7)

Combine like terms

   =2( 6x+12)

Distribute

   = 12x+24

The perimeter of the unshaded rectangle

P =2(l+w)

   = 2(3x+14  +3x)

 Combine like terms

    =2(6x+14)

Distribute

   =12x+28

Add  the perimeters together

12x+24+ 12x+28

Combine like terms

24x+52

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Klio2033 [76]
(a+bi)^2 =(a+bi)(a+bi)= a^2 +2abi+b^2 i^2 \\  \\ i^2 = -1 \\  \\ (a+bi)^2 = a^2-b^2 +2abi = 2abi \\  \\ a^2 -b^2 = 0 \\  \\ a^2 = b^2 \\  \\ a = b

For the statement to be true, 'a' and 'b' must be equal

*First expand the binomial using FOIL, then set it equal to whats given "2abi".
Then you can find the relationship between a and b.
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2 years ago
The terminal point of Dis ( 1/2,3/2). What is cos 0?
nydimaria [60]

Answer:

<em>(c). </em>\frac{1}{2}<em> </em>

Step-by-step explanation:

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5 0
3 years ago
What are the approximate values of the minimum and maximum points of f(x) = x5 − 10x3 + 9x on [-3,3]?
nika2105 [10]

Answer:

Minimum : -37 at x=2.4 and

Maximum = 37 at x=-2.4.

Step-by-step explanation:

Given:

f(x)=x^5-10x^3+9x; [-3,3]

Explanation:

In order to find minimum/maximum of a function, we need to find the first derivative of the function and then set it equal to 0 to get critical points.

Therefore,

f'(x)=5x^4-30x^2+9

Setting derivative equal to 0, we get

5x^4-30x^2+9=0

On applying quadratic formula, we get

x=2.4, -2.4, -0.7, 0.7.

So, those are critical points of the given function.

Plugging the values x=2.4, -2.4, -0.7, 0.7, -3 and 3 in above function, we get

f(2.4)=(2.4)^5-10(2.4)^3+9(2.4)= -37.01376   : Minimum.

f(-2.4)=(-2.4)^5-10(-2.4)^3+9(-2.4)= 37.01376 : Maximum.

f(0.7)=(0.7)^5-10(0.7)^3+9(0.7) = 3.03807

f(-0.7)=(-0.7)^5-10(-0.7)^3+9(-0.7) = -3.03807

f(-3)=(-3)^5-10(-3)^3+9(-3) =0

f(3)=(3)^5-10(3)^3+9(3) =0

Therefore the approximate values of the minimum and maximum points of f(x) = x^5- 10x^3+ 9x on [-3,3] are:

Minimum : -37 at x=2.4 and

Maximum = 37 at x=-2.4.


7 0
3 years ago
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