The value of x that will make the statement true is 1
Step-by-step explanation:
The given is:
- f(x) = x - 4
- g(x) = 2x + 3
We need to find the value of x which makes [f(x) + 2g(x)] = 7
∵ f(x) = x - 4
∵ g(x) = 2x + 3
∵ f(x) + 2g(x) = 7
- Multiply g(x) by 2
∵ 2g(x) = 2(2x + 3) = 2(2x) + 2(3) = 4x + 6
∴ 2g(x) = 4x + 6
∵ f(x) + 2g(x) = 7
∴ (x - 4) + (4x + 6) = 7
- Add the like terms in the left hand side
∴ (x + 4x) + (-4 + 6) = 7
∴ 5x + 2 = 7
- Subtract 2 from both sides
∴ 5x = 5
- Divide both sides by 5
∴ x = 1
The value of x that will make the statement true is 1
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Well you have to substitute the 4 in for X. It would make the equation: 3(4)+6=18. (Multiply 3 and 4)
12+6=18 (Add 12 and 6)
18=18
Hope this helped :)
This is a a reflective property because it is an if then statement.
Answer:
B.
Step-by-step explanation:
4*s = 4s
4*3 = 12
Use the property of distribution
<em>hope this helps :)</em>
Answer:
4 feet
Step-by-step explanation:
Since the whispering gallery is 15 feet high and 60 feet wide, it forms an ellipse with major axis along the width of the gallery and minor axis along the height of the gallery.
Using the equation of an ellipse with major axis along the x-axis, we have
x²/a² + y²/b² = 1 where a = midpoint of the width = 60/2 = 30 feet and b = 15 feet.
c² = a² - b² where c = focus of the ellipse.
So, c² = a² - b²
= 30² - 15²
= 900 - 225
= 675
c = ±√675 = ±25.98 feet
So, the coordinate of the focus is thus (0, ±c) = (0, ±25.98) and the coordinate of the vertex is (0, ±a) = (0, ±30)
So, the distance between the foci and the vertex is the distance from the wall at which each of them should be positioned at the foci.
So, d = a - c
= 30 ft - 25.98 ft
= 4.02 feet
≅ 4 feet
