-5.8c+4.2-3.1+1.4c combine like terms to create an equivalent expression
2 answers:
<h2>Answer:</h2>
The equivalent expression to the given expression is:
We are given an algebraic equation in terms of the variable c as follows:
Now, we will first combine the like term i.e. the terms with the same variable term and the constant terms are combined altogether i.e. the expression is given as follows:
On simplifying this expression we get :
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Answer:
Option (2)
Step-by-step explanation:
1). If two lines have the same slope, lines are defined as parallel.
m₁ = m₂
2). If the multiplication of the slopes of two lines is (-1), lines will be perpendicular.
m₁ × m₂ = (-1)
Line 1 : It passes through two points (-2, 10) and (1, 1).
Slope of the line 1 =
=
=
m₁ =
Line 2 : It passes through two points (-2, 8) and (2, -4).
Slope of the line 2 =
=
=
m₂ = -3
Since, m₁ × m₂ =
= (-1)
Therefore, given lines are perpendicular to each other.
Option (2) is the correct option.
The sets and
could be used to form a right triangle.
What is right triangle?
A right triangle, also known as a right-angled triangle, an orthogonal triangle, or historically a rectangled triangle, is a triangle with one right angle, meaning that its two sides are perpendicular. Trigonometry's foundation is the relationship between the right triangle's sides and other angles.
Since for the right triangle is a, b, c are three sides of a triangle, where c is the diagonal, then
Consider, the set (3, 5, 8)
Here, 3^2 + 5^2 ≠ 8^2.
Consider, the set (8, 9, 11)
Here, 8^2 + 9^2 ≠ 11^2
Consider, the set
Here,
Consider, the set
Here,
Hence, ,
could be used to form a right triangle.
To know more about the right triangle, click on the link
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