Solve each system using a matrix
7x+2y=5
13x+14y=-1Solve each system using a matrix
7x+2y=5
13x+14y=-1
Given:
Consider the equation is
To find:
The value of x.
Solution:
We have,
Using properties of exponents, we get
![[\because \dfrac{a^m}{a^n}=a^{m-n},a^{-n}=\dfrac{1}{a^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%2Ca%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5D)
On comparing both sides, we get
Add 16 on both sides.
Multiply both sides by -1.
Therefore, the value of x is 8.
Answer:
x = 11
Step-by-step explanation:
Using Secants ad Segments Theorem we can say;
(x + 7) (7) = (15 + 6) (6)
7x + 49 = (21) (6)
7x + 49 = 126
7x = 77
x = 11
Hope this helps!
Answer:
x = c - b
Step-by-step explanation:
c = x + b
Subtract b on both sides,
c - b = x + b - b
c - b = x
x = c - b
Hence, solved.
Answer:
Area = 33√3
Perimeter = 122
Step-by-step explanation:
This is a parallelogram and perimeter for a parallelogram is calculated by adding side length to base and that's multiplied by 2
perimeter (6 + 11) × 2 = 122
The area is calculated by multiplying height to the base
there's a 30° 60° 90° special triangle inside the parallelogram and the side length that sees 60° in this special triangle is 3√3 so this is our height and base is given as 11
Therefore the area of this parallelogram is
3√3 × 11 = 33√3
