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lana66690 [7]
3 years ago
6

Complete the table below to show the differences bettween algebraic expression and equation

Mathematics
1 answer:
bonufazy [111]3 years ago
6 0

Complete the table below to show the differences between algebraic

expression and equation.

Describe each to show their differences.

Give 3 examples of each.

Answer:

Explained below with examples

Step-by-step explanation:

1. Algebraic expression in mathematics are basically expressions that are formed from variables, integer constants, and also algebraic operations.

Examples include;

>> 2x² − xy

>> 3ab + 2b²

>> x² + y²

2. An algebraic equation is a phrase where the two sides of the equation which are the left and right hand sides are connected by the equal to sign (=).

Examples are;

>> 3y - y² = 2y² + 2

>> 3x - 4y = x + 2

>> 5a + 3b = 2b - 1

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Answer:

Alberto is incorrect. Perimeter is 42 units.

Step-by-step explanation:

Given:

The vertices of the triangle are S(-6.5, -8.5), T(2.5, -8.5),U(2.5, 3.5), \textrm{ and } V(-6.5, 3.5).

Perimeter of a triangle of length l and width b is given as:

P=2(l+b)

Here, l=ST,b=TU

Distance between two points A(x_{1},y_{1}) and B(x_{1},y_{2}) is given as:

AB=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

So, the length ST is,

l=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\l=\sqrt{(2.5-(-6.5))^{2}+(-8.5-(-8.5))^{2}}\\l=\sqrt{9^{2}+0}=9

Width TU is,

b=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\b=\sqrt{(2.5-2.5))^{2}+(3.5-(-8.5))^{2}}\\b=\sqrt{0+12^{2}}=12

Therefore, the perimeter is given as:

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Hence, the perimeter written by Alberto is incorrect as perimeter is not 18 units bu 42 units.

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