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2 years ago

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The perimeter of a rectangular garden is 236 m if the length of the garden is 67 m what is its width?

1 answer:

NARA [144]2 years ago

3 0

Answer:

<h2><u><em>51m</em></u></h2>

Step-by-step explanation:

The perimeter of a rectangular garden is 236 m if the length of the garden is 67 m what is its width?

take off the 2 lengths and divide by 2

[236 - (67 + 67)] : 2 = 51m

----------------------------

check

51 + 51 + 67 + 67 = 236m

the answer is good

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Solve the following problem for y. 4x+12y=24

frez [133]

4x+12y=24

12y= 24-4x

y= -3x+2

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3 years ago

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Give a geometric description of the following system of equations.a. 2x−4y=12 −3x+6y=−15.b. 2x−4y=12 −5x+3y=10.a. 2x−4y=12 −3x+6

Reptile [31]

Answer:

a. No solution, parallel lines.

b. One solution.

Step-by-step explanation:

Given the system of equations:

a. $2x-4y=12$

$-3x+6y=-15$

b. $2x-4y=12$

$-5x+3y=10$

To give a geometric description of the given system of equations.

The geometric description of a system of equations in 2 variables mean the system of equations will represent the number of lines equal to the number of equations in the system given.

i.e.

Number of planes = Number of variables

Number of lines = Number of equations in the system.

Here, we are given 2 variables and 2 equation in each system.

So, they can be represented in the xy-coordinates plane.

And the number of solutions to the system depends on the following condition.

Let the system of equations be:

$A_1x+B_1y+C_1=0\\A_2x+B_2y+C_2=0$

1. One solution:

There will be one solution to the system of equations, If we have:

$\dfrac{A_1}{A_2}\neq\dfrac{B_1}{B_2}$

2. Infinitely Many Solutions: (Identical lines in the system)

$\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}= \dfrac{C_1}{C_2}$

3. No Solution:(Parallel lines)

$\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}\neq\dfrac{C_1}{C_2}$

Now, let us discuss the system of equations one by one:

a. $2x-4y=12$ OR $2x-4y-12=0$

$-3x+6y=-15$ OR $-3x+6y+15=0$

$A_1 = 2, B_1 = -4, C_1 = -12\\A_2 = -3, B_2 = 6, C_2= 15$

Here, the ratio:

$\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2} = -\dfrac{2}{3}\\\dfrac{C_1}{C_2} = -\dfrac{4}{5}$

$\dfrac{A_1}{A_2}=\dfrac{B_1}{B_2}\neq\dfrac{C_1}{C_2}$

Therefore, no solution i.e. parallel lines.

b. $2x-4y=12$ OR $2x-4y-12=0$

$-5x+3y=10$ OR $-5x+3y-10=0$

$A_1 = 2, B_1 = -4, C_1 = -12\\A_2 = -5, B_2 = 3, C_2 = -10$

$\dfrac{A_1}{A_2}= -\dfrac{2}{5}\\\dfrac{B_1}{B_2} = -\dfrac{4}{3}\\\dfrac{C_1}{C_2} = -\dfrac{6}{5}$

$\dfrac{A_1}{A_2}\neq\dfrac{B_1}{B_2}$

So, one solution.

Kindly refer to the images attached for the graphical representation of the given system of equations.

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a trapezoid has base lengths of 6 and 15 centimeters with an area of 136.5 square centimeters. What is the height of the trapezo

MrRa [10]

•*Ok first let me show you the formula for the Area of the trapezoid.
A=a+b/2 h.(I will be using the letter x for the multiplication sign)

*And here is the formula to find the height of a trapezoid
h=2 x A/a+b (2 times the Area over base "a" plus base "b")

*We need to plug in the numbers: h = 2 x 136.5/6+15
*Next, we add the two bases to get 21: 6+15=21 (h=2 x 136.5)
*Then, divide the total of the two bases (21) from the area to get 6.5: 136.5/21-6.5
*Finally we multiply 2 by 6.5: 2 x 6.5= 13
The height if this trapezoid is 13.

Hope this helps you ☺

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A ladder is 80 inches tall. How tall is it in feet and inches?

Anastasy [175]

Answer:

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Step-by-step explanation

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Answer:

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Step-by-step explanation:

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