Answer:
you have to add
Step-by-step explanation:
Answer:
Approximately 12.04 units.
Step-by-step explanation:
The find the distance between any two points, we can use the distance formula, which is:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2)
We have the points (2,7) and (-6,-2). Let's let (2,7) be (x₁, y₁) and let's let (-6, -2) be (x₂, y₂). Substitute:
![d=\sqrt{(-6-2)^2+(-2-7)^2](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-6-2%29%5E2%2B%28-2-7%29%5E2)
Subtract:
![d=\sqrt{(-8)^2+(-9)^2](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-8%29%5E2%2B%28-9%29%5E2)
Square:
![d=\sqrt{64+81}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B64%2B81%7D)
Add:
![d=\sqrt{145}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B145%7D)
Approximate
![d=\sqrt{145}\approx12.04](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B145%7D%5Capprox12.04)
So, the distance between (2,7) and (-6,-2) is approximately 12.04 units.
And we're done!
Area = l*w
Area of living room rug = 12(1/2)*10(3/4) = 134.375
Total area - covered areas = areas seen
Total area - couch area - entertainment area = areas seen
134.375 - 12(1/2) - 6 = 115.875
The areas of the rug seen is thus 115.875 square feet. (sq. ft)
The answer to the question is c
Answer:
80
Step-by-step explanation:
first, put in (5x-4) for the x in g(x).
g(f(x))=(5x-4)^2 -1
now, FOIL and simplify.
25x^2-40x+16-1
25x^2-40x+15
now, plug in -1 for x.
25(-1)^2-40(-1)+15
25+40+15
80