Answer:
X = 4, 1
Step-by-step explanation:
Multiplying out
X^2 - 2x - 3x +6 = 2
X^2 - 5x +4 = 0
Factoring:
X^2 - 4x - X +4
X(x-4) - 1(x-4)
(x-1)(x-4)=0
X= 1, 4
For a better understanding of the solution provided here, please find the diagram attached.
In the diagram, ABCD is the room.
AC is the diagonal whose length is 18.79 inches.
The length of wall AB is 17 inches.
From the given information, we have to determine the length of the BC, which is depicted a
, because for the room to be a square, the length of the wall AB must be equal to the length of the wall BC.
In order to determine the length of the wall BC, or
, we will have to employ the Pythagoras' Theorem here. Thus:


Thus,
inches
and hence, the given room is not a square.
You would divide the diameter in half to get the radius which is 4. And do the formula which is a=pie(r) squared. So the answer would be 50.24
Answer:
x < -3
Step-by-step explanation:
2x - 3 < -9
Add 3 to each side
2x - 3+3 < -9+3
2x < -6
Divide by 2
2x/2 < -6/2
x < -3
Answer:
83.74 in squared
Step-by-step explanation:
The area of the original rectangle is: 14 * 8 = 112 in squared.
The area of a circle is
, where r is the radius. In this case, we know the diameter is 6, so the radius is 3. Then, the area of the circle is:
3.14 * 3^2 = 3.14 * 9 = 28.26 in squared.
The remaining area is just the total minus the circle area:
112 - 28.26 = 83.74 in squared