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Ann [662]
3 years ago
7

The expression 17n+11 represents the perimeter of a triangle. The other two sides measure 4n+5 and 5n+6. A simplified expression

that represents the measure of the third side would be...?
Mathematics
2 answers:
Alisiya [41]3 years ago
7 0

Question


The expression 17n+11 represents the perimeter of a triangle. The other two sides measure 4n+5 and 5n+6. A simplified expression that represents the measure of the third side would be...?


Answer:

<h2>(17n + 11) - (4n +5 + 5n + 6) =</h2>

Step-by-step explanation:

you simply take off the misure of the know sides from the perimeter

(17n + 11) - (4n +5 - 5n + 6) =

8n


frutty [35]3 years ago
3 0

Answer: 8n

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

Explanation:

The two sides 4n+5 and 5n+6 have the terms 4n and 5n which add to 9n. We need 8n to add onto this so that we end up with 17n. In other words, 4n+5n+8n = 9n+8n = 17n

So that is why the answer is 8n. We don't have anything added or subtracted to it because the "+5" and "+6" in the two given expressions (4n+5 and 5n+6) add up to 5+6 = 11 which is what we want in the perimeter expression 17n+11

Side 1 = 4n+5

Side 2 = 5n+6

Side 3 = 8n

Perimeter = (side1) + (side2) + (side3)

Perimeter = (4n+5) + (5n+6) + (8n)

Perimeter = 4n+5 + 5n+6 + 8n

Perimeter = (4n+5n+8n) + (5+6)

Perimeter = 17n+11

So that confirms we have the proper expression for the third missing side.

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the circumference of the circle shown below is 54 centimeters. which expression gives the length in centimeters of XY?​
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The correct option is C

Step-by-step explanation:

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Find the equation of the line that passes through the points (-800, 200) and<br> (-400, 300)
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The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula

d = √  ((X2-X1)2+(Y2-Y1)2)

d = √ (-400--800)2+(300-200)2

d = √ ((400)2+(100)2)

d = √ (160000+10000)

d = √ 170000

The distance between the points is 412.310562561766

The midpoint of two points is given by the formula

Midpoint= ((X1+X2)/2,(Y1+Y2)/2)

Find the x value of the midpoint

Xm=(X1+X2)/2

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Find the Y value of the midpoint

Ym=(Y1+Y2)/2

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The midpoint is: (-600,250)

Graphing the two points, midpoint and distance

P1 (-800,200)

P2 (-400,300)

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The length of the black line is the distance between the points (412.310562561766)

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x(x+5)=204 \\&#10;x^2+5x=204 \\&#10;x^2+5x-204=0 \\&#10;x^2+17x-12x-204=0 \\&#10;x(x+17)-12(x+17)=0 \\&#10;(x-12)(x+17)=0 \\&#10;x-12=0 \ \lor \ x+17=0 \\&#10;x=12 \ \lor \ x=-17

The length of the base of a parallelogram must be a positive number, so x=12.

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The base is 12 feet long, the height is 17 feet long.
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