Answer:
6 and 9
Step-by-step explanation:
set up an equation and solve for x
(x+3) * x = 54
easiest way to to try some numbers.
if you know your multiplication tables...
what two number multiplied together are 54
be sure the numbers you are thinking of meet the rules
is one 3 more than the other
do they multiply together to get 54
Answer:
x = 1\2 and y = 0
Step-by-step explanation:
8x + 3y = 4 * 5\3
14x - 5y = 7 * 1
40\3x + 5y = 20\3 -------- 1
14x - 5y = 7 ----------------- 2
add equation 1 and 2
82\3x = 41\3
x = <u>4</u><u>1</u><u> </u> <u>3</u>
3 * 82
x = 1\2
subtitute 1\2 for x in equation 2
14\2 - 5y = 7
7 - 5y = 7
5y = 7 - 7
y = 0\5
y = 0
thus x = 1\2 and y = 0
This problem can be completed in 2 ways. Both are acceptable.
Option 1:This is an isosceles trapezoid that can be divided into a rectangle and two congruent triangles.
The area of the rectangle is the base times the height.

The area of one of the triangles is half the base times the height.

The other triangle must have that area too.

The area is 56 square centimeters.
Option 2:We can use the area formula for the trapezoid.

Where

is the length of the shorter base
and

is the length of the longer base
and

is the height.
The length of the shorter base is 9.
The length of the longer base is 9+5+5, or 19.
The height is 4.


Same answer. The area is 56 square centimeters.
Both options are two acceptable ways the problem can be tackled.
If you are asking to simplify, this is what I got. Hope I was able to help