From the right hand side, we will need to find a way to rewriting 3x²y in terms of cube roots.
We know that 27 is 3³, so if we were to rewrite it in terms of cube roots, we will need to multiply everything by itself two more twice. (ie we can rewrite it as ∛(3x²y)³)
Hence, we can say that it's:
![\sqrt[3]{162x^{c}y^{5}} = \sqrt[3]{(3x^{2}y)^{3}} * \sqrt[3]{6y^{d}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B162x%5E%7Bc%7Dy%5E%7B5%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B%283x%5E%7B2%7Dy%29%5E%7B3%7D%7D%20%2A%20%5Csqrt%5B3%5D%7B6y%5E%7Bd%7D%7D)
![= \sqrt[3]{162x^{6}y^{3+d}}](https://tex.z-dn.net/?f=%3D%20%5Csqrt%5B3%5D%7B162x%5E%7B6%7Dy%5E%7B3%2Bd%7D%7D)
Hence, c = 6 and d = 2
Answer:
57°
Step-by-step explanation:
ALL angles in a triangle add up to 180°
SO, if we know the sum of two angles which is 123° (why: 33+90=123), all we have to do is subtract this number from 180 to get the measure of the 3rd angle. Which in this case is 57°
Answer:
y = -3x - 12
Step-by-step explanation:
Lines that are parallel have the same gradient.
Therefore using the point (-2,-6) you can make your own equation.
-6 will be y, -2 will be x
All you have to do is find the y-intercept which is C in <em>y</em><em>=</em><em>mx</em><em>+</em><em>c</em>
-6 = -3(-2) + c
-6 = 6 + c
-12 = c
Therefore;
<u>y = -3x - 12</u>
Answer:
the answer would be anything 11 and under (11,10,9,8,7,6,5,4,3,2,1,0)
Step-by-step explanation:
This is because if n+5 is less than or equal to 16 then 11+5=16 so that is equal to and less than would be using any number less than 11
hope this helps ;)
Answer:
81 mm
Step-by-step explanation:
Now: 1 mm
In 10 minutes: 3 * 1 mm = 3 mm
In 20 minutes: 3 * 3 mm = 9 mm
In 30 minutes: 3 * 9 mm = 27 mm
In 40 minutes: 3 * 27 mm = 81 mm
Answer: 81 mm
