Substitution would be a great approach to solving this system, because the first equation defines y as x - 10 and you can thus substitute x - 10 for y in the second equation:
2x + (x - 10) = 4
Then 3x - 10 = 4, and 3x = 14. Solving for x: x = 14/3.
Since y = x-10, subst. 14/3 for x to find y: y = 14/3 - 30/3 = -16/3
The solution is (14/3, -16/3).
Answer:
Step-by-step explanation:
<h3>Given GP</h3>
<h3>To find</h3>
<h3>Solution</h3>
<u>nth term formula</u>
- aₙ = a₁rⁿ⁻¹, where r- common ratio, n- number of the term
<u>We have</u>
- a₁ = -9
- r = 27/-9 = -81/27 = -3
<u>Find a₁₂</u>
- a₁₂ = (-9)*(-3)¹¹ = 1594323
Correct choice is B
The whale is 24.54 feet away from the shoreline.
Step-by-step explanation:
Step 1:
The man is 200 feet from the ground and the angle at which he sees the whale is 7°.
So a right-angled triangle can be formed using these measurements. The angle of the triangle is 7° while the opposite side of the triangle measures x feet while the adjacent side of the triangle measures 200 feet.
We need to find the opposites side's length of the triangle.
Step 2:
Since we have the length of the adjacent side and need to calculate the length of the opposite side we use the tan of the given angle.
The opposite side of the triangle = x feet.


So the whale is 24.54 feet away from the shoreline.
AD = AB
2r + 8 = 5r - 13
3r = 21
r = 7
AD = 2r + 8 = 2(7) + 8 = 14 + 8 = 22
answer AD = 22