The perimeter of an equilateral triangle is 126mm. State the length of one of its sides.

Mathematics

2 answers:

Nastasia [14]3 years ago

6 0

<h3>Answer: 42</h3>

Explanation:

Divide 126 over 3. This is because any equilateral triangle has all three sides the same length

126/3 = 42

Each side is 42 mm long

So its perimeter is 3*42 = 126 mm

Side note: if your teacher says a triangle is equiangular, then it's automatically equilateral as well (and vice versa).

Hitman42 [59]3 years ago

3 0

Answer:

$here \: is \: your \: solution : - \\ \\ perimeter \: of \: equilateral \: traingle \: \\ \\ = > 126 \: mm \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ perimeter \: = 3 \times sides \\ \\ let \: the \: side \: be \: \: = \: x \: mm \\ \\ so \: \: \: \: \: 3 \times x = 126 \: mm \\ \\ x =( 126 \div 3)mm \\ \\ x = 42 \: mm \\ \\ hence \: its \: side \: is \: = \: 42 \: mm \\ \\ {\huge{\boxed{\sf{\purple{hope \: it \: helps...}}}}}$

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The domain and range of 5x squared plus 10x what is the domain and range of f of x equals 5x squared plus 10x

liberstina [14]

Answer:

Domain: set of all real numbers

Range: $y \geq -5$

Step-by-step explanation:

We have to find the domain and range of the function:

$f(x) =5x^2+10x$

This is a quadratic function, shape of a "U", that's called a parabola.

The domain is the set of x values for which the function is defined.

The range is the set of y values for which the function is defined.

Normally, any parabola in the form $ax^2+bx+c$ has domain as "all real numbers". This is the case for this problem as well, thus,

Domain = set of all real numbers

Now, for the range, we have to look at the minimum value of the function. So, the range would be y values greater than or equal to the minimum number. Lets find the minimum value of this function.

We have to find the value of x for which the minimum occurs by using the formula:

$x=\frac{-b}{2a} =\frac{-10}{2(5)} =-1$