<h3>
The constant of proportionality is k = 5</h3>
For direct proportion equations, you divide the y value over its corresponding x value to get the value of k.
For example, the point (x,y) = (2,10) is on the diagonal line. So k = y/x = 10/2 = 5.
Another example: the point (x,y) = (6, 30) is also on the same diagonal line, so k = y/x = 30/6 = 5 is the same result as before.
You can use any point on the diagonal line as long as it is not (0,0). This is because division by zero is not allowed.
side note: the direct proportion equation y = k*x becomes y = 5*x which is the graph of that diagonal line. The slope is m = 5, the y intercept is b = 0. All direct proportion graphs go through the origin as shown in the diagram.
Hello there!
So, if this turtle is only going 2.5 miles per hour. This would mean that (EACH) hour, this turtle only arrived 2.5 miles. So, we do,

We would have to count how many ("2.5's" they are above.)
We count only
4.
I would take this turtle
4 miles to swim 10 kilometers.
Answer:
x=5
Step-by-step explanation:
We can use the Triangle Angel Bisector Theorem
AB 2x-1
----------= --------------
AC 3x
9 2x-1
----------= --------------
15 3x
Using cross products
3x*9 = 15*(2x-1)
Distribute
27x = 30x-15
Subtract 30x from each side
27x-30x = 30x-30x-15
-3x = -15
Divide by -3
-3x/-3 =-15/-3
x =5
Answer:
Step-by-step explanation:
All real numbers because x can assume every possible value
Answer:
7.) 53.38
8.) 18.84
9.) 87.92
Step-by-step explanation:
7.)
For the first question, we can see that the diameter is given. So, we will want to divide that diameter by 2 to get the radius. 17 ÷ 2 = 8.5.
The formula for finding the circumference is 2 × π × 8.5
2 × 3.14(π) = 6.28.
6.28 × 8.5 = 53.38
8.)
For the second question, we can see that the radius is now given to us which is 3ft.
The formula for finding the circumference is 2 × π × 3
2 × 3.14(π) = 6.28.
6.28 × 3 = 18.84
9.)
For the third question the raduis is also given to us, which is 14 in.
The formula for finding the circumference is 2 × π × 14.
2 × 3.14(π) = 6.28.
6.28 × 14 = 87.92
<em>-kiniwih426</em>