Answer:
24.98 units
Step-by-step explanation:
The picture of the question in the attached figure
we have the coordinates
P(1,-6),D(4,3),O(7,-6)
The perimeter of triangle OPD is equal to

the formula to calculate the distance between two points is equal to

step 1
Find the distance OP
we have
O(7,-6),P(1,-6)
substitute in the formula



step 2
Find the distance PD
we have
P(1,-6),D(4,3)
substitute in the formula



step 3
Find the distance OD
we have
O(7,-6),D(4,3)
substitute in the formula



step 4
Find the perimeter


Answer:

Step-by-step explanation:
1) Simplify 1/3 ( x - 10) to x-10/3.

2) Multiply both sides by 3.

Simplify 4 × 3 to 12.

4) Add 10 to both sides.

5) Simplify -12 + 10 to -2.

So, therefor, the answer is, x = -2.
Answer: 243, 729
<u>Step-by-step explanation:</u>
1, 3, 9, 27, 81 is a geometric sequence where r = 3
a₁ = 1
a₂ = 1 x 3 = 3
a₃ = 3 x 3 = 9
a₄ = 9 x 3 = 27
a₅ = 27 x 3 = 81
To find the next two terms, multiply the previous term by 3:
a₆ = 81 x 3 = 243
a₇ = 243 x 3 = 729