Y=x²+8x+14
to make a square, if a is 1, add (half of b)²
in this case, a=1, b=8, half of 8 is 4
y=x²+8x+4²-4²+14
y=(x+4)²-16+14
y=(x+4)²-2
B is the answer.
another way to do it:
the vertex is at x=-b/2a=-8/2*1=-4
when x=-4, y=(-4)²+8(-4)+14=-2
so the equation is y=[x-(-4)]²-2, which is y=(x+4)²-2, the same answer B
The dog house consists of two geometric objects, triangular prism and rectangular prism.
First, find the surface area of triangular prism
The triangular prism consists of
base of triangle (b) = 3 ft
height of triangle (h) = 2.5 ft
height of prism or length of rectangle (l) = 4 ft
side of triangle or width of rectangle (w) = 2.5 ft
Now, calculate the area
area of tp = area of two triangle + area of 2 rectangle
area of tp = (2 × 1/2 × b × h) + (2 × l × w)
area of tp = (2 × 1/2 × 3 × 2) + (2 × 4 × 2.5)
area of tp = 6 + 20
area of tp = 26 ft²
Second, find the surface area of rectangular prism
The rectangular prisms consists of
length (l) = 3 ft
width (w) = 4 ft
height (h) = 2 ft
Now, calculate the area
area of rp = area of back and front rectangle + area of left and right rectangle
area of rp = (2 × l × h) + (2 × w × h)
area of rp = (2 × 3 × 2) + (2 × 4 × 2)
area of rp = 12 + 16
area of rp = 28 ft²
Third, add both of the area
area = area of tp + area of rp
area = 26 + 28
area = 54 ft²
The area of the dog house is 54 ft²
X - 5
Y - 7
That is the answer hope this helps !
83
Your answer is 83
subtract 73 from 156
you get 83
Answer:
An integer is a whole number that is not a fraction.
