Answer:
a₁₃ = - 27x - 41
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3x + 7
d = a₂ - a₁ = - 5x + 3 - (- 3x + 7)
= - 5x + 3 + 3x - 7
= - 2x - 4
Then
a₁₃ = - 3x + 7 + 12(- 2x - 4)
= - 3x + 7 - 24x - 48
= - 27x - 41
Well first you need to show the rest of the problems before i can truely help you sorry.
Answer:
1.
is a perfect square trinomial
Step-by-step explanation:
2. Perfect square trinomials are algebraic expressions with three terms that are created by multiplying a binomial to itself.
3. I will upload a picture showing my work
Sub (x+1) for x
f(x+1)=2(x+1)^2+3
f(x+1)=2(x^2+2x+1)+3
f(x+1)=2x^2+4x+2+3
f(x+1)=2x^2+4x+5
D is answer
Answer:
118.3 m²
Step-by-step explanation:
Step 1. Calculate the <em>semiperimeter</em> (s).
s = (p + q + r)/2
s = (17 + 18+ 15)/2
s = 50/2
s = 25 m
===============
Step 2. Calculate the <em>area</em> (A).
Use <em>Heron’s formula</em>:





A = 118.3 m²