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serg [7]
3 years ago
14

The perimeter of a triangle is 60 inches. If the sides of the triangle are 2x, 3x, and 5x, find the length of the shortest side.

Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
6 0
2x + 3x + 5x = 60
10x = 60
a = 6
Shortest side = 2x = 12 inches

Murrr4er [49]3 years ago
5 0

Answer:

Length of shortest side = 12 inches

Step-by-step explanation:

The perimeter is the sum of sides of a polygon.

Here the sides of the triangle are 2x, 3x, and 5x.

Perimeter = 2x + 3x + 5x = 10x

The perimeter of a triangle is 60 inches.

That is 10x = 60

x = 6 inches

Length of shortest side = 2x = 2 x 6 = 12 inches.

Length of shortest side = 12 inches

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what is the center of a circle whose equation is x2 + y2 – 12x – 2y + 12 = 0? o (-12,-2) o (-6, -1) o (6, 1) (12, 2)
Leno4ka [110]

Answer:

(6,1)

Step-by-step explanation:

1.) group the x and y terms (and move the constant to the other side)

x²-12x+y²-2y= -12

divide the coeficcents for the terms with just 1 or 1 x variable by 2 and then square it (and add that to both sides)

x²-12x+36+y²-2y+1= -12+36+1

factor

(x-6)²+(y-1)²= 25

the center is therefore (6,1)

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2 years ago
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uranmaximum [27]

Answer:

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Step-by-step explanation:

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2 years ago
Screenshot of the question
tamaranim1 [39]

9514 1404 393

Answer:

  x = 1, x = 7

Step-by-step explanation:

You can see from the graph that the x-intercepts of f(x) are ...

  0 = f(-3)

  0 = f(3)

To find the corresponding values of x for f(x-4), we can solve ...

  0 = f(x -4)

  x -4 = -3   ⇒   x = 1

  x -4 = 3   ⇒   x = 7

The x-intercepts of the function after translation 4 units right are ...

  x = 1, x = 7

__

Your sketch will be the same curve moved 4 units to the right. (Add 4 to every x-value shown.)

3 0
2 years ago
Ms. Johnson earns $47,000 per year. She is paid weekly and puts 8% of her salary
Gekata [30.6K]
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3 0
2 years ago
Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated
Illusion [34]

Answer:

x=-2,0,3

Step-by-step explanation:

We have been given a function f(x)=15x^3-15x^2-90x. We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

15x^3-15x^2-90x=0

Now, we will factor our equation. We can see that all terms of our equation a common factor that is 15x.

Upon factoring out 15x, we will get:

15x(x^2-x-6)=0

Now, we will split the middle term of our equation into parts, whose sum is -1 and whose product is -6. We know such two numbers are -3\text{ and }2.

15x(x^2-3x+2x-6)=0

15x((x^2-3x)+(2x-6))=0

15x(x(x-3)+2(x-3))=0

15x(x-3)(x+2)=0

Now, we will use zero product property to find the zeros of our given function.

15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0

15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0

\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0

x=0\text{ (or) }x=3\text{ (or) }x=-2

Therefore, the zeros of our given function are x=-2,0,3.

7 0
3 years ago
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