Carlos driving time = Xh, Maria driving time = Yh.
55m/h*Xh + 47m/h*Yh = 197m
Together, they both drove 3,8 hours, so Carlos drove 3,8 hours minus the time Maria drove;
55m/h*(3,8h-Yh)+47m/h*Yh = 197m
55m/h*3,8h - 55m/h*Yh + 47m/h*Yh = 197m
<span>209m - 8m/h*Yh = 197m
8mY = 209m - 197m
8mY = 12m
Y = 12m/8m
Y = 1,5
</span>The correct answer is 1,5 hours.
Answer:
The nth term of the geometric sequence is is 32805
Step-by-step explanation:
The nth term of a geometric sequence is given by
![$ a_n = a_1 \cdot r^{n - 1} $](https://tex.z-dn.net/?f=%24%20a_n%20%3D%20a_1%20%5Ccdot%20r%5E%7Bn%20-%201%7D%20%24)
Where
is the first term and
is the common ratio
We are given the fourth term of this sequence
The common ratio is
![r = -3](https://tex.z-dn.net/?f=r%20%3D%20-3)
Once we find the 1st term then we can find any other term.
![a_4 = a_1 \cdot r^{4 - 1} \\\\a_4 = a_1 \cdot r^{3} \\\\-135 = a_1 \cdot (-3)^{3} \\\\-135 = a_1 \cdot (-27) \\\\a_1 = \frac{-135}{-27} \\\\a_1 = 5](https://tex.z-dn.net/?f=a_4%20%3D%20a_1%20%5Ccdot%20r%5E%7B4%20-%201%7D%20%20%5C%5C%5C%5Ca_4%20%3D%20a_1%20%5Ccdot%20r%5E%7B3%7D%20%20%5C%5C%5C%5C-135%20%3D%20a_1%20%5Ccdot%20%28-3%29%5E%7B3%7D%20%20%5C%5C%5C%5C-135%20%3D%20a_1%20%5Ccdot%20%28-27%29%20%20%5C%5C%5C%5Ca_1%20%3D%20%5Cfrac%7B-135%7D%7B-27%7D%20%5C%5C%5C%5Ca_1%20%3D%205)
So the ninth term of this geometric sequence is
![a_n = a_1 \cdot r^{n - 1} \\\\a_9 = a_1 \cdot r^{9 - 1} \\\\a_9 = a_1 \cdot r^{8} \\\\a_9 = 5 \cdot (-3)^{8} \\\\a_9 = 5 \cdot (6561) \\\\a_9 = 32805](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%20%5Ccdot%20r%5E%7Bn%20-%201%7D%20%20%5C%5C%5C%5Ca_9%20%3D%20a_1%20%5Ccdot%20r%5E%7B9%20-%201%7D%20%20%5C%5C%5C%5Ca_9%20%3D%20a_1%20%5Ccdot%20r%5E%7B8%7D%20%20%5C%5C%5C%5Ca_9%20%3D%205%20%5Ccdot%20%28-3%29%5E%7B8%7D%20%20%5C%5C%5C%5Ca_9%20%3D%205%20%5Ccdot%20%286561%29%20%20%5C%5C%5C%5Ca_9%20%3D%2032805)
Therefore, the nth term of the geometric sequence is is 32805
Answer:
1 = Given
2 = Given
3 = Substitution Property
4 = Distributive Property
5 = Given
6 = Substitution Property
7 = Simplify
8 = Subtraction Property
9 = Addition Property
Answer:
Parallelogram with four congruent sides
Step-by-step explanation:
Rhombus: It is special type of quadrilateral whose all sides congruent and opposite sides are parallel.
Diagonals of rhombus are perpendicular bisector. Diagonals make angle 90 degree at intersection point.
Rhombus is a parallelogram with four congruent sides.
Attached image is show shape of rhombus.