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skelet666 [1.2K]
3 years ago
15

Which equations below represent a proportional relationship? Select all that apply.

Mathematics
1 answer:
Svetlanka [38]3 years ago
8 0

Answer:

<h2>A) y = 5x</h2>

If C) y = 1/8x then this is also the answer.

Step-by-step explanation:

Proportional relationship:

\dfrac{y}{x}=constant

\dfrac{y}{x}=a\to y=ax

A) y = 5x → a = 5

C) y = 1/8x → a = 1/8

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A local pet store sells a variety of animal supplies and pet accessories. The pet store has different sections for dogs, cats, b
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The answer is d for this problem
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Edward's school is 132 miles away from his home . He goes by car to school and back. The car consumed 4 gallons of gas taking hi
mixer [17]
Total distance is 132 miles x 2 times/day x 5 days = 1320 miles
That used 4 gallons of fuel, so 1320 miles/4 gallons = 330 miles per gallon
5 0
3 years ago
For a triangle with the length of its sides of 5/36, 1/3 and 13/36, determine if it is a right triangle?
Anuta_ua [19.1K]

Yes it is. Input the numbers into the pythagorean theorem,

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

and if they equal each other it is a right triangle.

8 0
3 years ago
Find the distance between the origin and the points (-8,4)​
Papessa [141]

Hi, I'm happy to help!

To solve this, we need to find the distance from the origin to the y coordinate value, x coordinate value, then use the Pythagorean Theorem.

The origin of a graph (center) has the coordinates (0,0), so this will be our other coordinates.

First, let's find the x coordinate distance change. We move from the x coordinate 0, to the x coordinate -8, <u>so we move 8 x units.</u>

Next, let's find the y coordinate distance change. We move from the y coordinate 0, to the y coordinate 4, <u>so we move 4 y units.</u>

Now that we have these two leg lengths, let's imagine this as a right triangle. Moving from the origin, we draw a line from (0,0), to (-8,0). Then, we draw a line from (-8,0) to (-8,4). Now, draw a direct line from (0,0), to (-8,4). We have the length of the first(8) and second(4) lines, and we need to find the third line length to find our answer. To do this, we use the Pythagorean Theorem, which states that a²+b²=c². This says that, in a right triangle, the square of the two shorter lengths equals the square of the longest length. The longest length is what we are solving for.

Let's say x distance is a, and y distance is b. Now, apply the values:

8²+4²=c²

64+16=c²

80=c²

Now, we need to find the value of c, so we need to find the square root of 80.

√80=c

8.9442...=c

Since the number goes on forever, we need to round it. For this example, let's round it to the nearest tenth, which would be 8.9.

<u>To summarize the distance between the origin and the coordinates (-8,4), is about 8.9.</u>

I hope this was helpful, keep learning! :D

8 0
2 years ago
consider a wire 2 ft long cut into two pieces. one piece forms a circle with radius r and the other forms a square with side len
makkiz [27]

The formula for the radius r in terms of x . and for the maximum areas is x=2/\pi+4

Given that,

y forms a circle of radius r

y=2\pir

r=y/2\pi

(2-y)- forms Square Side x

(2-y) = 4x

x=(2-y)/4

Now Sum of Area's=Area of Square +Area of Circle

Sum = \pir² + x²

Substitute the r and x values in above equation,

A(y)= y²/4\pi+(y-2)²/ 16

To maximize Area A(y)

A'(y)= 0

2y/4\pi + 2(y-2)/16 =0

y/2\pi + (y-2)/8 =0

y = 2\pi/\pi+4

Y max will be max, x to be maximum.

for maximum sum of areas,

x=2/\pi+4

Hence,The formula for the radius r in terms of x . and for the maximum areas is x=2/\pi+4

Learn more about Area :

brainly.com/question/28642423

#SPJ4

4 0
1 year ago
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