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slavikrds [6]
2 years ago
13

A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters. Which expression

represents the perimeter, in centimeters, of the triangle?
Mathematics
1 answer:
Papessa [141]2 years ago
8 0

Answer:

<u>This assumes that the question was meant to read:</u>

"A triangle has side lengths of (7x−4) centimeters, (x+3) centimeters, and (<u>3x+2</u>) centimeters."  <u>And not </u>"A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters."

If the revision is correct, the perimeter is 11x + 1 cm

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

<u>If the question was correctly written, then answer is:</u>

50x^2 - 50x + 9y^2  + 12 y  + 29

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

Step-by-step explanation:

  (7x-4) cm

+ (x+3)  cm

<u>+ (3x+2) cm</u>

11x + 1 cm

If the question was correctly written as is, then:

(7x-4)(7x−4) = 49x^2 - 56x + 16

+(x+3)(x+3)    =     + x^2   + 6x   + 9

+(3y+2)(3y+2) = <u> +9y^2  + 12 y  + 4</u>

                         50x^2 - 50x + 9y^2  + 12 y  + 29 cm

                       

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Answer:

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And solving we have:

y= x^2 -6x +9 + 14 -9

y= (x-3)^2 +5

And we can write the expression like this:

y-5 = (x-3)^2

The vertex for this case would be:

V= (3,5)

And the minimum for the function would be 3 and there is no maximum value for the function

Step-by-step explanation:

For this case we have the following equation given:

y= x^2 -6x +14

We can complete the square like this:

y= x^2 -6x +(\frac{6}{2})^2 +14 -(\frac{6}{2})^2

And solving we have:

y= x^2 -6x +9 + 14 -9

y= (x-3)^2 +5

And we can write the expression like this:

y-5 = (x-3)^2

The vertex for this case would be:

V= (3,5)

And the minimum for the function would be 3 and there is no maximum value for the function

4 0
3 years ago
A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, whic
algol13

Answer:

The angles are 79.45, 59.02 and 41.53 degrees to the nearest hundredth.

Step-by-step explanation:

We have a triangle with sides of length 8.6, 5.8 and 7.5 feet.

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

cos X =  (8.6^2 - 5.8^2 - 7.5^2) / ( -2*5.8*7.5)

=  0.18310

X =  79.45 degrees.

We can now find another angle using the sine rule:

8.6 / sin 79.45 =  7.5/ sin Y

sin Y = (7.5 * sin 79.45) / 8.6

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So the third angle = 180 - 79.45 - 59.02

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3 0
3 years ago
A recent article in the paper claims that business ethics are at an all-time low. Reporting on a recent sample, the paper claims
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Answer:

The correct solution is "0.127128".

Step-by-step explanation:

The given values are:

p = 0.31

n = 20

Now,

p(8

                     =20C_{9}(0.31)^9\times (0.69)^{11}+20C_{10}(0.31)^{10}\times (0.69)^{10}+20C_{11}\times (0.31)^{11}\times (0.69)^{9}

=0.074955+0.037043+0.015130

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5 0
2 years ago
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Answer:

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Let be h = 5\,ft, l = 12\,ft and w = 6\,ft. The volume of the swimming pool is:

V = (6\,ft)\cdot (12\,ft)\cdot (5\,ft)

V = 360\,ft^{3}

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Answer:

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