Answer:
an = -39 -100(n -1)
Step-by-step explanation:
The given sequence can be described by a 3rd degree polynomial.* However, we suspect a typo, and that your intention is to have a formula for the arithmetic sequence ...
-39, -139, -239, -339
This has a first term a1 = -39, and a common difference d = -100.
The model for the explicit formula is ...
an = a1 +d(n -1)
Filling in the given values, the formula you seek is ...
an = -39 -100(n -1)
_____
* That polynomial is ...
an = 50n^3 +350n^2 -800n +461
This gives a sequence that starts ...
-39, -139, -139, -339, -1039, -2539, -5139, -9139, ...
Answer:
AC = 40
Step-by-step explanation:
A quadrilateral is a polygon shape with four sides and four angles. The interior angle of a quadrilateral sums up to 360°.
A parallelogram is a quadrilateral (has four sides and four angles) in which has two pair of opposite sides are parallel to each other. The diagonals of a parallelogram bisect each other.
Given parallelogram ABCD:
Diagonals AC and BD bisect each other at point E. Hence:
AC = AE + CE (line segment addition postulate)
Also:
AE = CE (diagonal BD bisects AC at point E).
Hence; x + 16 = 5x
5x - x = 16
4x = 16
x = 4
AE = x + 16 = 4 + 16 = 20; CE= 5x = 5(4) = 20
AC = AE + CE = 20+ 20 = 40
Answer:
<h2><u>
72 square units</u></h2>
Step-by-step explanation:
First let's find the area of the middle rectangle.
We know the width of this rectangle is 6 and the length is 8 so we will multiply these two numbers.
6 × 8 = 48
Now let's find the area of the triangles
The formula is ((length × width) ÷ 2)
The width is 3, as it is not part of the rectangle, and the length is 8
And there are two triangles so we will do this twice
((8 × 3) ÷ 2) = 12
((8 × 3) ÷ 2) = 12
Now add up all of the areas
48 + 12 + 12 = 72
<u>So 72 is our final answer</u>
Answer:
y = 34x - 139 (y = 34x + 2)
y = 
x - 6 (y = 3/4x +2)
Step-by-step explanation:
(I'm not sure if the two equations were the same or not, but I provided the answers just in case.) Parallel lines are two lines that have the same plane and slope but never intersect. To find the equation, use the formula y - 
= m (x - 
)
Answer:
The area of trapezoid is 20 square centimeters
Step-by-step explanation:
Let
x -----> the length of rectangle
y ----> the height of rectangle
h ----> height of trapezoid
Applying the Trapezoid Mid-segment Theorem we have that
----> equation A
----> 
----> equation B
Remember that
The area of rectangle is equal to
The area of trapezoid is equal to
-----> equation C
substitute equation A and equation B in equation C
The area of trapezoid is two times the area of rectangle
therefore
The area of trapezoid is 20 square centimeters
