16 because the legth of TQ is the same as SR I hope thats right i checked with a ruler. :)
Answer:
x = 25
Step-by-step explanation:
It is given that,
JK =5x+17,
KL = x -1,
JL=7x-9
We need to find the range of possible values for x.
It can be assumed that K is a mid point of JL.
JL = JK + KL
Putting all the values,
7x-9 = 5x+17 + x -1
Taking like terms together,
7x-5x-x = 17-1+9
x = 25
So, the value of x is 25.
For this, we need to find the area of the larger rectangle (The room) and subtract from that the area of the smaller, shaded rectangle (The rug).
A=LW (L=Length, W=Width, A=Area)
The larger rectangle first:
A=(15)(10)
A=150 feet squared
Now the Rug:
A=(12)(7)
A=84 feet squared
Now to find the area that is NOT covered by the rug, we subtract:
150-84
= 66 feet squared will NOT be covered by the rug.
Hope this Helps!
-Sinnamin
Answer:
12 only.
Step-by-step explanation:
When the question is asking for f(0), it is asking for the value of <em>y </em>when x = 0.
We see that there is only 1 intersection at x = 0, and the y value would equal 12.
Therefore, our answer is 12 only.
Using the given information, we can say the following:
Width (W) = x
Length (L) = (2x - 4)
Area of Rectangle = L × W
Using this, we can formulate an equation for rectangle in question:
x(2x - 4) = 30
Expand and move everything to one side:
2x² - 4x - 30 = 0
Simplify by dividing everything on both sides by 2:
x² - 2x - 15 = 0
Factorise:
(x + 5)(x - 3) = 0
Set each factor equal to 0 and solve for x:
x + 5 = 0
x = -5 (a dimension cannot be negative so this is not the solution we want)
x - 3 = 0
x = 3 (this is the solution)
x = W = 3"
L = 2x - 4
L = 2(3) - 4
L = 2"
So, the length the rectangle is 2" and the width is 3"
