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elena-s [515]
3 years ago
13

The perimeter of a triangle is

Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0

Answer:

Side\ 3 = 6x - 7

Step-by-step explanation:

Given

Perimeter = 17x - 5

Side\ 1 = 3x + 5

Side\ 2 = 8x - 3

Required

Determine the length of the third side

The perimeter of a triangle is calculated as thus:

Perimeter = Side\ 1 + Side\ 2 + Side\ 3

Substitute values for Perimeter, Side 1 and Side 2

17x - 5 = 3x + 5 + 8x - 3 + Side\ 3

Collect Like Terms

17x - 5 = 3x + 8x + 5 - 3 + Side\ 3

17x - 5 = 11x + 2 + Side\ 3

Solve for Side 3

Side\ 3 = 17x - 11x - 5 - 2

Side\ 3 = 6x - 7

<em>Hence, the length of the third side is 6x - 7 units</em>

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Which table represents a linear function​
Slav-nsk [51]

Answer:

Option 1

Step-by-step explanation:

Option 1 is the correct answer, because a linear function goes up on the x and y axes by the same amount. In this case, the x-coordinates increase by 1, and the y-coordinates increase by 4.

6 0
2 years ago
Choose whether it's always, sometimes, never 
Keith_Richards [23]

Answer: An integer added to an integer is an integer, this statement is always true. A polynomial subtracted from a polynomial is a polynomial, this statement is always true. A polynomial divided by a polynomial is a polynomial, this statement is sometimes true. A polynomial multiplied by a polynomial is a polynomial, this statement is always true.

Explanation:

1)

The closure property of integer states that the addition, subtraction and multiplication is integers is always an integer.

If a\in Z\text{ and }b\in Z, then a+b\in Z.

Therefore, an integer added to an integer is an integer, this statement is always true.

2)

A polynomial is in the form of,

p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0

Where a_n,a_{n-1},...,a_1,a_0 are constant coefficient.

When we subtract the two polynomial then the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

3)

If a polynomial divided by a polynomial  then it may or may not be a polynomial.

If the degree of numerator polynomial is higher than the degree of denominator polynomial then it may be a polynomial.

For example:

f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2

Then \frac{f(x)}{g(x)}=x^2+5, which a polynomial.

If the degree of numerator polynomial is less than the degree of denominator polynomial then it is a rational function.

For example:

f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2

Then \frac{g(x)}{f(x)}=\frac{1}{x^2+5}, which a not a polynomial.

Therefore, a polynomial divided by a polynomial is a polynomial, this statement is sometimes true.

4)

As we know a polynomial is in the form of,

p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0

Where a_n,a_{n-1},...,a_1,a_0 are constant coefficient.

When we multiply the two polynomial, the degree of the resultand function is addition of degree of both polyminals and the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

3 0
3 years ago
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3 years ago
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Each vertical cross-section of the triangular
Blizzard [7]

Answer:

The vertical height is h=3\ units

Step-by-step explanation:

we know that

In the right triangle ABC

see the attached figure

To find the height h apply the Pythagoras Theorem

c^{2}=a^{2}+b^{2}

we have

c=AB=3\sqrt{2}\ units

a=BC=6/2=3\ units

b=AC=h\ units

substitute

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18=9+h^{2}

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3 years ago
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AleksAgata [21]

Answer:

angle 2 = 37º

Step-by-step explanation:

When two lines intersect they make vertical angles, which are angles directly across from another. Vertical angles are always congruent.

4 0
3 years ago
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