Answer:
k = log9 / log 0.66
k = 5.3
Step-by-step explanation:
Please always remember that, when an exponential equation is given with different bases, the best approach is to take log of both sides.
If you have a calculator handy, that would be pretty fast and easy.
0.66 ^ k = 9
Take log of both sides:
klog 0.66 = log 9
k = log 9 / log 0.66
k = 0.954 / - 0.18
k = -5.3
Maths is fun, let's keep learning
Answer:
- 3. line y=x
- 4. 10 units to the right and 4 units up
Step-by-step explanation:
In the attached diagram, the green polygon A"B"C" is the reflection of ABC across the line y=x. Then the purple polygon A'B'C' is the translation of A"B"C" 10 units to the right and 4 units up.
_____
You can tell a reflection is involved, because the clockwise order of A, B, C in the original is reversed to counterclockwise in A'B'C'. The left-right horizontal line AC becomes the down-up vertical line A'C', so you know the reflection is across the line y=x, and not the line y=-x.
After the reflection, point A" is located at (2, -6), so moving it to A'(12, -2) entails a translation 10 units right and 4 units up.
Answer:
figure 3: 17 cubes.
figure 4: 21 cubes.
figure 5: 25 cubes.
Step-by-step explanation:
Let the nth figure be represented by f(n).
also we are given f(n+1)=f(n)+4.
The number of cubes used in figure 1 i.e. f(1) is 9.
number of cubes used in figure 2 i.e. f(2) is 13
Now we have to find the number of cube used in figure 3, figure 4 and figure 5.
number of cubes in figure 3 i.e. f(3)=f(2)+4=13+4=17.
number of cubes in figure 4 i.e. f(4)=f(3)+4=17+4=21.
number of cubes in figure 5 i.e. f(5)=f(4)+4=21+4=25.