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cricket20 [7]
3 years ago
14

A triangle has a side lengths of (5.5x + 6.2y) centimeters, (4.3x+8.3z) centimeters and (1.6z -5.1y) cenrimeters which expressio

n represents the perimeter,in centimeters of the triangle
Mathematics
2 answers:
steposvetlana [31]3 years ago
7 0

Answer:

Perimeter of given triangle is ( 9.8x + 1.1y + 9.9z ) centimeters.

Step-by-step explanation:

Given : A triangle has a side lengths of (5.5x + 6.2y) centimeters, (4.3x+8.3z) centimeters and (1.6z -5.1y) centimeters  

We have to find the expression  that represents the perimeter (in centimeters)

of the triangle.

Perimeter of a figure is defined as the sum of all the sides.

Since given figure is triangle so perimeter of triangle is the sum of all the sides.

Given side lengths are

(5.5x + 6.2y) , (4.3x + 8.3z) and (1.6z -5.1y)

Thus, perimeter = (5.5x + 6.2y)  + (4.3x + 8.3z) + (1.6z - 5.1y)

Perimeter = 5.5x + 6.2y + 4.3x + 8.3z + 1.6z - 5.1y

LIKE TERMS are term with same variables.

Rearrange, we get

Perimeter = 5.5x + 4.3x + 6.2y - 5.1y + 8.3z + 1.6z

Adding like terms, we get,

Perimeter = (5.5 + 4.3)x + (6.2 - 5.1)y + (8.3 + 1.6)z

Perimeter = (9.8)x + (1.1)y + (9.9)z

Thus, Perimeter of given triangle is 9.8x + 1.1y + 9.9z centimeters.

Ghella [55]3 years ago
4 0
(5.5x + 6.2y) + (4.3x + 8.3z) + (1.6z - 5.ly)
Combine Like Terms
9.8x + 1.1y + 14.5z 

So the perimeter is 
9.8x + 1.1y + 14.5z
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Answer:

A

Step-by-step explanation:

16x-16=4y

4(4x-4)=4y

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Alonzo scored 27 points Miguel scored 32

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A line has this equation: y = -8x + 8,
DIA [1.3K]
Parallel lines have the same slope
Y = -8x + 8
The slope will be -8
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3 years ago
The difference between the areas of the figures is less than 4.
coldgirl [10]

Answer:

1. |40 – 4x| < 4

2. 9 < x < 11

Step-by-step explanation:

We'll begin by calculating the area of each figure. This can be obtained as follow:

For triangle:

Area = ½ × base × height

Base = 8

Height = 6

Area =?

Area = ½ × 8 × 6

Area = 4 × 6

Area = 24

For Rectangle:

Area = length × breadth

Length = x – 4

Breadth = 4

Area =?

Area = (x – 4) × 4

Area = 4x – 16

Summary:

Area of triangle (Aₜ) = 24

Area of rectangle (Aᵣ) = 4x – 16

1. Writing an absolute value for the inequality.

From the question given above, we were told that the difference between the areas of the figures is less than 4. This can be written as:

Aₜ – Aᵣ < 4

Area of triangle (Aₜ) = 24

Area of rectangle (Aᵣ) = 4x – 16

24 – (4x – 16) < 4

Simplify

24 – (4x – 16) < 4

Clear bracket

24 – 4x + 16 < 4

24 + 16 – 4x < 4

40 – 4x < 4

Thus, we can write the absolute value for the above inequality as:

|40 – 4x| < 4

2. Determination of the solution of the inequality.

This is illustrated below:

|40 – 4x| < 4

Thus the above equation can be written as

– 4 < 40 – 4x < 4

Subtract 40 from both side

– 4 – 40 < 40 – 4x – 40 < 4 –40

– 44 < – 4x < – 36

Divide through by –4

– 44/–4 < x < – 36/–4

11 > x > 9

Note: the inequality sign changed because we divided by a negative number

Thus, 11 > x > 9 becomes 9 < x < 11

Therefore, the solution to the inequality is 9 < x < 11

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Answer:

y + 12 = 3(x - 2)

Step-by-step explanation:

Insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, <em>y</em><em> </em><em>-</em><em> </em><em>y</em><em>₁</em><em> </em><em>=</em><em> </em><em>m</em><em>(</em><em>x</em><em> </em><em>-</em><em> </em><em>x</em><em>₁</em><em>)</em><em>,</em><em> </em>all the negative symbols give the OPPOSITE term of what they really are. Since both lines contain have to have similar <em>rate of changes</em> [<em>slopes</em>], we do not go any further.

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