Answer:
The rug is two feet too wide
Step-by-step explanation:
Well first, let's figure out the diameter of the rug to see if it will fit in the room. We know that the circumference of the circle is πd. So we can solve for d from there (d is the diameter).
c = πd
50.24 = πd
50.24/π = d
d = about 16 ft
Knowing this, we know that the rug would not fit in the room and if it was centered, it would have a foot of rug sticking out from each wall. Therefore, the rug is two feet too wide.
You first have to turn 2x + 4y = -8 into y = mx + b before graphing. To do this, you subtract 2x from the left side of the equation because inverse operations. This will bring 2x to the right side. Now, you will have 4 = -2x + 8. However, you cannot have a number with y. Therefore, you must divide -8 and 2 by 4. You will get y = -1/2 x + 2 as your equation.
To graph -1/2x + 2, you must remember rise/run. Since it is NEGATIVE -1/2, your slope will go downwards (1 down, 2 across) starting from y = 2.
Answer:
x² + 16x + 64
Step-by-step explanation:
To find f(g(x)) , substitute x = g(x) into f(x), that is
f(x + 7)
= (x + 7)² + 2(x + 7) + 1 ← expand (x + 7)² using FOIL
= x² + 14x + 49 + 2x + 14 + 1 ← collect like terms
= x² + 16x + 64
The nearest tenth would be the first decimal place, so the answer would be 23.8
The GCF is 1
Hope this helps