Answer:
Step-by-step explanation:
11.
to find floor area:
= 8 x 8
= 64
= Floor is 64m.
to find carpet: 8 x 8 x 75%
= 64 x 75%
= 64 x 0.75
= 48
a. The dimensions of the carpet are probably 8 by 8.
b. The area of the floor not covered by carpet is 64, hence 8 x 8.
12.
A perfect square is a square that has demensions that is a number multiplied by itself.
Eight times eight fits the requirements, so this square is in fact perfect.
Have a lovely day!
A. 1.9 is an irrational number
Cone's volume is third of cylinder's volume, so 321*1/3=107 cubic units. Answer A. is correct.
If we write y=f(x)=(x-h)²+k, then y-k=(x-h)². This is vertex form where the vertex is (h,k)=(3,3) so h and k are both 3. We can see this if we put x=3 in the shifted function. This is a minimum point for the function because for every other x f(x) is greater then 3. The minimum point is the vertex.
Answer:
(- 4, - 12 ) , (4, 12 )
Step-by-step explanation:
Given the 2 equations
y = 3x → (1)
y = x² + 3x - 16 → (2)
Substitute y = x² + 3x - 16 into (1)
x² + 3x - 16 = 3x ( subtract 3x from both sides )
x² - 16 = 0 ( add 16 to both sides )
x² = 16 ( take the square root of both sides )
x = ± 
= ± 4
Substitute these values into (1) for corresponding values of y
x = - 4 : y = 3 × - 4 = - 12 ⇒ (- 4, - 12 )
x = 4 : y = 3 × 4 = 12 ⇒ (4, 12 )
