Step-by-step explanation:
For a parabola y = ax² + bx + c, the vertex occurs at x = -b / (2a).
For f(x), a = -2, b = 0, and c = 9. So the vertex is at:
x = -0 / (2×-2)
x = 0
At x=0:
f(0) = -2(0)² + 9
f(0) = 9
The maximum of g(x) is at 11.
So g(x) has a greater maximum value than f(x).
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<u>The genuine articulations of the hypotenuse of a right triangle are: It is the longest side of a right triangle, It is inverse the correct point. The genuine explanations of the hypotenuse of a right triangle are: It is the longest side of a right triangle, It is inverse the correct point</u>
Answer:
tell me how to do it tell me and i will try
To solve this first find the area of each of the white shapes inside the rectangle
The formula for the area of a circle is:
A = πr²
In this case we know that the radius is 2
Plug what you know into the area of a circle formula:
A = π2²
A = π4
A = 4π
A ≈ 12.57
The formula for the area of a square is:
A = Length x Height
In this case we know that both length and height are 3
Plug what you know into the formula for area of a square:
A = 3 x 3
A = 9
To find the area of the UNSHADED region simply add together the area of the circle (12.57) with the area of the square (9):
12.57 + 9 ≈ 21.57
To find the area of the SHADED region find the total area of the surrounding rectangle then subtract the area of unshaded area from the total area of the surrounding rectangle.
The formula for the area of a rectangle is:
A = Length x Height
The length is 10 and the height is 7
A = 10 x 7
A = 70
Shaded region:
70 - 21.57 = 48.43
Unshaded region: 21.57
Total area of surrounding rectangle: 70
Shaded region: 48.43
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
The rational number equivalent to 3.24 repeating is 321/99
Step-by-step explanation:
To convert the decimal number to a rational number we can state this number and its multiples of 10, trying to find two number with identical decimal parts:
n=3.24242424...
10n=32.4242424....
100n=324.2424242...
Now, 100n and n have the same decimal part, then by subtracting these numbers we obtain:
100n-n=324.24242424...-3.24242424... = 321
99n = 321
n = 321/99
