Answer:
Correct
Step-by-step explanation:
Just divide both the numerator and the denominator by their common factors.
Answer:
The relationship is proportional for the turtle and the equation is Distance = 54*Time
Step-by-step explanation:
Turtle’s run:
Distance (meters) | Time (minutes)
108 | 2
405 | 7.5
540 | 10
1768.5 | 32.75
Rabbitt’s run:
Distance (meters) | Time (minutes)
800 | 1
900 | 5
1107.5 | 20
1524 | 32.5
The relationship between distance traveled and time is proportional if this equation is satisfied:
Distance = k*Time or k = Distance/Time
where k is a constant
For the turtle:
108/2 = 405/7.5 = 540/10 = 1768.5/32.75 = 54
Then, the relationship is proportional and the equation is Distance = 54*Time
For the rabbit:
800/ 1 = 800
900/5 = 180
1107.5/20 = 55.375
1524/32.5 = 46.89
Then, the relationship is not proportional.
Answer:
Step-by-step explanation:
These exponential forms can be written into radicals very easily as long as you remember the rule: The denominator of the rational exponent serves as the index of the radical and the numerator serves as the exponent on the radicand. Let's look at a rational exponent. 3/4 4 would be the index on the radical (the number that sits in the little dip of the radical sign) and 3 is the power on the base. So
can be written in radical form as
![\sqrt[4]{x^3}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E3%7D)
Let's do 3^3/2 in your problem. 2 is the index (which is a "normal" square root and you don't need to write a 2 there cuz it's understood that it's a 2 if nothing is there), and 3 is the power on the base, which in our case is a 3. Bases can be numbers OR letters.
![3^{\frac{3}{2}}=\sqrt[2]{3^3}=\sqrt{3^3}](https://tex.z-dn.net/?f=3%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%3D%5Csqrt%5B2%5D%7B3%5E3%7D%3D%5Csqrt%7B3%5E3%7D)
That does in fact have an actual number answer, but I don't think you are simplifying them yet, only learning to write them from one form to another, so there you go!
<span>We can use the proportion. We already know that Dixon is 6 ft tall and that his shadow is 9 ft long. Also we know that the shadow of his sister is 6 ft long. 6 : x = 9 : 6, or 6 / x = 9 / 6. After that we will cross multiply : 9 * x = 6 * 6, 9 x = 36 , x = 36 : 9, x = 4. Answer: Ariadne is 4 feet tall.Hope I helped! :) Cheers!</span>
A quadrilateral with exactly one pair of parallel sizes
B
