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Art [367]
3 years ago
13

An isosceles triangle has two sides of equal length. The third side is five less than twice the length of one of the other sides

. If the perimeter of the triangle is 23 cm what is the length of the third side?
Mathematics
2 answers:
4vir4ik [10]3 years ago
5 0

Answer:

9

Step-by-step explanation:

We can set up a systems of equations to find the value of the third side.

Let's assume that x is the length of both sides 1 and 2. Let's also assume that y is the length of the third side.

We know that x + x + y = 23, and looking at the first clue we can make the equation y = 2x-5.

We can substitute y into the equation x + x + y = 23.

x + x + (2x-5) = 23\\\\2x + 2x-5 = 23\\4x-5 = 23\\4x = 28\\x = 7

So the length of the side that is the same as the second is 7.

Now we can plug this into the equation y = 2x-5 to find y.

y = 2(7) - 5\\\\y = 14-5\\\\y = 9

Hope this helped!

maria [59]3 years ago
3 0

Answer:

9 cm

Step-by-step explanation:

Let's say that the length of the 2 equal sides is x.

That means:

Side 1 = x

Side 2 = x

We know that the third side is 5 less than twice the length of the 2 equal sides, or 2x-5

Side 3 = 2x-5

The perimeter is all sides together.

Side 1 + Side 2 + Side 3

We know the length of each side, so let's put that in instead.

x + x + 2x-5

Let's simplify this expression:

x + x + 2x - 5

2x + 2x - 5

4x - 5

We know the perimeter, 4x-5, is 23 cm.

4x - 5 = 23

4x = 28

x = 7

The third side is 2x-5. If x is 7...

2*7 - 5 = 14-5 = 9

Answer: 9 cm

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Answer:

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Step-by-step explanation:

cross multiply 7/63 by 1/x

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3 0
3 years ago
Find the quotient of n(x) = 6x^5y^7 and m(x) = 2x^3y
likoan [24]

Answer:

a.  Yes

b.  Yes

c. Yes

d. Degree 8

Step-by-step explanation:

a. Yes, n(x) is a polynomial of one single term (also called monomial) because it contains variables raised to positive integers.

b. Yes, m(x) is a polynomial of also one single term (also called monomial) because it contains variables raised to positive integers.

c. The quotient of n(x) / m(x) can be reduced to a polynomial of one single term as follows:

\frac{n(x)}{m(x)} =\frac{6\,x^5\,y^7}{2\,x^3\,y} =3\,x^2\,y^6

which as can be seen, also contains variables raised to positive integers.

d. The degree of the polynomial resultant is the addition of the powers of all variables present (x and y) which results in: 2 + 6 = 8

Therefore the degree of this polynomial is 8.

6 0
3 years ago
A number plus 1/3 of the number can be expressed as:
nirvana33 [79]

Answer:

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Step-by-step explanation:

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Please mark as Brainliest! :)

Have a nice day.

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The coordinates of point D are (7, 4) and the coordinates of point E are (1, −3) . What is the slope of the line that is perpend
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Answer:

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The way to figure this out is pretty easy. If you want to see it visually, go search up desmos graphing calculator and put in these equations.

A linear equation is a function that has a constant slope, meaning that the rate it increases or decreases will never change. The first one is a set of linear equations because it is 2 equations with constant slopes, meaning that the slopes will never change no matter what y and x are.

The second set is not, because while the first equation is linear, the second is an inequality. While it is a straight line, it doesn't count as a linear equation.

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The only set that is a linear set is the one that has only linear equations.

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