Answer:
x²-12x+36
Step-by-step explanation:
an expression in the form (a-b)² is expanded to the form a²-2ab+b²
you can also expand it to (x-6)×(x-6) then multiply the first term by the first the outer term by the outer term the inner term by the inner term and the last term by the last term (foil)
the first terms are x and x = x² the outer terms are x and -6 = -6x the inner terms are also x and -6 = -6x
the last terms are 6 and 6 = 36
adding all the four products =
x²-12x+36
Answer:
see attached
Step-by-step explanation:
graph y = -3/2x - 2
x Intercept: 0 = -3/2x -2
3/2x = -2
x = <u>-2 (2)</u>
3
x = -4/3
(-4/3, 0)
y intercept: (0, -2)
Answer:
C.
2.67 inches by 2.27 inches
Step-by-step explanation:
We can use ratios to solve
1 in x inches
-------- = ---------
7.5 ft 20 ft
Using cross products
1*20 = 7.5x
Divide each side by 7.5
20/7.5 =7.5x/7.5
2.67 =x
We can do the same for the other dimension
1 in x inches
-------- = ---------
7.5 ft 17 ft
Using cross products
1*17 = 7.5x
Divide each side by 7.5
17/7.5 =7.5x/7.5
2.27 =x
2.67 inches by 2.27 inches
The complete question is
<span>
Bradley made a house for his dog, Bowser, out of wood with a cube base and a triangular prism top. The dimensions of the dog house are a = 2 feet, b = 1 foot, and c = 1.4 feet.</span><span>
If Bradley plans to paint the outside of the dog house blue, not including the bottom, how many square feet of paint will he use?the picture in the attached figure
</span>
we know that
surface area of the figure=surface area of cube+surface area of triangular prism
surface area of cube=4*a²----> 4*2²-----> 16 ft²
surface area of triangular prism=2*[a*c]+2*[a*b/2]---> 2*[2*1.4]+[2*1]
surface area of triangular prism=5.6+2----> 7.6 ft²
surface area of the figure=16 ft²+7.6 ft²----> 23.6 ft²
the answer is23.6 ft²
The area of the region on the map is 97.5 miles