Answer: 1 solution
An augmented matrix for the system is
[2,6,12;1,1,2] where we will call the first two columns A and the third b. A is linearly independent since it is row equivalent to the identity matrix, which tells us that for any b there will be a unique solution (x,y).
2 paintings
Because 1/4 of 64 is 16.
Day 1: 16 left
Day 2: 1/2 of 16 is 8
Day 3: 1/2 of 8 is 4
Day 4: 1/2 of 4 is 2
So after day four he is left with 2.
Answer:
quadrilateral, parallelogram, rhombus
Answer:
Read the part where it says; These raptors eat primarily flying insects, so they do most of their hunting on the wing.
Step-by-step explanation:
</3 PureBeauty
Answer:
x=3
Explanation:
Let's write an equation for the area of this figure.
This figure can be divided into 2 rectangles, a vertical and horizontal rectangle.
Area of rectangle= length× breadth
Area of vertical rectangle= 6x
Length of horizontal rectangle= (7 -x) cm
Area of horizontal rectangle= x(7-x)
Since total area= 30 cm^2,
6x+ x(7-x)= 30
6x +7x -x^2= 30 (expand)
-x^2 +13x-30= 0 (bring all terms to one side)
x^2 -13x +30= 0 (divide by -1)
(x -10)(x -3)= 0 (factorise)
x -10= 0 or x -3= 0
x= 10 or x= 3
(reject)
We reject x=10 since from the diagram, x cm is less than 6cm.