Answer:
-30 - 4n
Step-by-step explanation:
-34, -38, -42, -46, -50 ...
the sequence first term is -34
a= -34
Common difference (d) = T2 - T1 = T3 - T2
d = -38- -34 = -42 - - 38 = -38+34
d = -4
Formula for nth term
Tn = a + (n-1)d
Tn = -34 + (n -1)-4
Tn = -34 -4n + 4
Tn = -30 - 4n
= -30 - 4n
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2. f(x) = x - 2x² - 5 + 10x
=-2x² + 8x - 5
f'(x)= -4x + 8
4. y = 100(45x - 30 - 3x³ + 2x²)
= 100(-3x³ + 2x² + 45x -30)
= -300x³ + 200x² + 4500x - 3000
y' = -900x² + 400x + 4500
1. 3x^1 + 8 - (2x^2 + 1).....distribute the negative thru the parenthesis
3x^1 + 8 - 2x^2 - 1....now combine like terms
-2x^2 + 3x^1 + 7
2. 5x^2 + 3x - 4 - (x^2 - 6x)...same thing..distribute
5x^2 + 3x - 4 - x^2 + 6x...combine like terms
4x^2 + 9x - 4
<span>2.What is the most precise name for quadrilateral ABCD with vertices A(-2,4), B(5,6), C(12,4), and D(5,2)?
First, plot the points given and from there determine what kind of quadrilateral is ABCD. The answer is B) Rhombus
</span><span>3. What is the most precise term for quadrilateral ABCD with vertices A(1,2), B(2,6), C(5,6), and D(5,3)?
</span>
Again, plot the points given and identify the type of quadrilateral ABCD. The answer is <em>parallelogram. </em>
To calculate the distance between two points, we can use a formula that is a variation Pythagorean Theorem. Look:

"d" represents the distance and coordinates are expressed as follows: (x, y)
Let's go to the calculations.
The answer is 13 uc.