Answer: Choice C. (1, -6)
Explanation: The two lines cross at around this location. The solution point is on both lines at the same time.
Answer:
1. A is correct 2. d is correct
Step-by-step explanation:
1. 11.25x 3 = 33.75
Answer:
A = -49,152
Step-by-step explanation:
The sequence -3, -12, -48, -192 have a geometric Progression.
How did I know that?
The common ratio is gotten by diving the preceding value by a previous one. Such that:
r : -12 / -3 = 4
r : -48 / -12 = 4
Which ever one you pick, gives thesame commonn ration "r" as 4.
Lets proceed.
Geometric Progression (GP) is defined as:
GP: ar^n-1
Where "a" is the first term -3
r is the common ration = 4
n is the number of term = 8th
To solve for the 8th term!
= ar^ 8-1
= ar^7
= -3 * 4 ^ 7
= -3 * 16384
= -49152
Enjoy! Maths is fun!
The answer is C will fold into a cube
Answer: 46 square units
Step-by-step explanation:
First divide the given polygon by joining FS in triangle FNS and rectangle WFSC.
In triangle FNS, construct a line from N (2,4) to its base at (2,-2) and name it point O.
Since it is perpendicular to the base of the triangle therefore, it is the height of the triangle.
Now, by distance formula,
![NO=6\ units\\FS=9\ units](https://tex.z-dn.net/?f=NO%3D6%5C%20units%5C%5CFS%3D9%5C%20units)
Area of triangle =![\frac{1}{2}\times base\times height=\frac{1}{2}\times6\times9=27\ units^2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20base%5Ctimes%20height%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes6%5Ctimes9%3D27%5C%20units%5E2)
Now, in Rectangle WFSC by the distance formula
WF=CS=2 units, FS=WC=9 units
Area of rectangle=![2\times9=18\ units^2](https://tex.z-dn.net/?f=2%5Ctimes9%3D18%5C%20units%5E2)
Now, Area of polygon WFNSC= area of triangle +area of rectangle
=27+18=46 square units