Are equation for a rectangle is area = (width x length)
(18x - 12) = 6 x length
length = (18x - 12) / 6
length = 3x - 2
Answer:
-4
Step-by-step explanation:
Answer:
A) 8, 15, 17.
Step-by-step explanation:
Right triangle obey the Pythagorean theorem. Thus, we choose the two smaller numbers (being the cathetus) and if after applying the P. Theorem we get the biggest of each option (the hypotenuse) that means that those numbers could be the sides of a right triangle.
The Pythagorean theorem states that: 
Thus:
Option A:
→ 17 = 17 OK!
Option B:
→ 10 ≠ 12 NO
Option C:
![\sqrt{9^2+11^2} = [tex]\sqrt{202}](https://tex.z-dn.net/?f=%5Csqrt%7B9%5E2%2B11%5E2%7D%20%3D%20%5Btex%5D%5Csqrt%7B202%7D)
[/tex] → 
≠ 21 NO
Option D:
→ 
≠ 16 NO
Answer:
48
Step-by-step explanation:
Given,
x = - 1
y = 2
To find : The value of 3x - 4 ⋅ xy² ?
Substitute the given values of x and y in the expression 3x - 4 ⋅ xy².
3x - 4 ⋅ xy²
= 3 ( - 1 ) - 4 ⋅ ( - 1 ) ( 2 )²
= - 3 - 4 ⋅ - 1 ( 4 )
= - 12 ⋅ - 4
= 48
Note : -
When a negative number gets multiplied with a negative, the resulted number is a positive number.
Answer:
C
Step-by-step explanation:
In general for arithmetic sequences, recursive formulas are of the form
aₙ = aₙ₋₁ + d,
and the explicit formula (like tₙ in your problem), are of the form
aₙ = a₁ + (n - 1)d,
where d is the common difference. So converting between the two of these isn't so bad. In this case, your problem wants you to have an idea of what t₁ is (well, every answer says it's -5, so there you are) and what tₙ₊₁ is. Using the formulas above and your given tₙ = -5 + (n - 1)78, we can see that the common difference is 78, so no matter what we get ourselves into, the constant being added on at the end should be 78. That automatically throws out answer choice D.
But to narrow it down between the rest of them, you want to use the general form for the recursive formula and substitute (n + 1) for every instance of n. This will let you find tₙ₊₁ to match the requirements of your answer choices. So
tₙ₊₁ = t₍ₙ₊₁₎₋₁ + d ... Simplify the subscript
tₙ₊₁ = tₙ + d
Therefore, your formula for tₙ₊₁ = tₙ + 78, which is answer choice C.
