Answer:
(8,-9)
Step-by-step explanation:
using the principle of vectors, you match each number to their coordinates and add them
so we have (7+1,-12+3)
which is equal to (8,-9)
For

and

to be inversely proportional, there must be some constant

such that

Given that

when

, it follows that

Then when

, we have
Answer:
72 cubes
Step-by-step explanation:
Attached is the picture drawn (though not great one), showing 6 cube on length of prism, 3 cubes on width and 4 cubes on height of prism.
Given: Length of prism= 6
Width= 3
Height= 4
To know the number of cubes, which can fill the entire prism, we need to find volume of prism.
∴ Volume of prism= 
Volume of prism= 
∴ 72 units of cube can fill the entire prism.
The perimeter is 256 feet.
96 + 96 + 32 + 32 = 256.
<u>Solution-</u>
From the figure,
AE = 2.4
EB = 2.8
BC = 11.7
Area of rectangle 1 = 8.68 sq.in

(∵ sides of the rectangle 2)
Area of Triangle 1 = 6.48 sq.in


(∵ sides of the rectangle 1)


(∵ sides of the rectangle 2)



The area of Rectangle 2,

The area of Triangle 2,

The area of the whole figure = Area of Triangle 1 + Area of rectangle 1 + Area of Triangle 2 + Area of rectangle 2
= 6.48+8.68+8.82+6.44=30.42 sq.in