Calculating the area and the perimeter The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides. x is in this case the length of the rectangle while y is the width of the rectangle.
Answer:
9x^2 - 36x + 36 sq. ft. (the first option).
Step-by-step explanation:
Area of a square of side d = d^2.
So area of this square = (3x - 6)^2
= (3x - 6)(3x - 6)
= 3x(3x - 6) - 6(3x - 6)
= 9x^2 - 18x - 18x + 36
= 9x^2 - 36x + 36 sq ft.
Answer:
12 inches
Step-by-step explanation:
Raj tested his new flashlight by shinning it on his bedroom wall the beam of the light can be described by the equation (x^2-2x) + (y^2-4y) - 31=0. how many inches wide is the beam of light on the wall
Solution
Given:
(x^2-2x) + (y^2-4y) - 31=0
By completing the square
(x^2-2x) + (y^2-4y) - 31=0
(x^2-2x+1-1) + (y^2-4y+4-4)-31=0
(x-1)^2 -1 + (y-2)^2 - 4 - 31=0
(x-1)^2 + (y-2)^2 - 1 - 4 - 31=0
(x-1)^2 + (y-2)^2 - 36=0
(x-1)^2 + (y-2)^2=36
Writing the equation in the form: (x-h)^2+(y-k)^2=r^2
(x-1)^2+(y-2)^2=6^2
From the above, r=6
Where,
r=radius
how wide is the diameter ?
radius=6
Diameter= 2 × radius
=2×6
=12 inches
Answer:
1/2
Step-by-step explanation:
1/4=2/8
2/8+2/8=4/8=1/2
Answer:
Step-by-step explanation:
by the definition of negative exponents: 
for all 
so long as 
.
