Answer:
A, or 8
Step-by-step explanation:
the total angle is 102, so we can subtract 54 from 102 to get 6x, then divide by 6.
102 -54 = 48/6 =8
I) there are 360 degrees in a circle. So subtract all the numbers from 360 to get the angle for econ.
That angle is 65 degrees
ii) If 95 degrees represents 228 books, then 360 degrees represents "x" (total) books. So we have an equation:
<u>95</u> = <u>360</u>
228 x
Solve for x, and we get x = 864
iii) The percentage is 80 degrees out of 360 degrees or 2/9 or roughly 0.222 or 22.2%
Given:
A quadratic function has x-intercepts 2 and 6 and its vertex is (4, 8).
To find:
The corresponding quadratic expression.
Solution:
If graph of a function intersect the x-axis at c, then (x-c) is a factor of the function.
A quadratic function has x-intercepts 2 and 6. It means (x-2) and (x-6) are two factors of the required quadratic function.
The function is defined as:
...(i)
Where, a is a constant.
The vertex of the quadratic function is (4,8). It means the point (4,8) will satisfy the function.
Substituting x=4 and P(x)=8 in (i).
Divide both sides by -4.
Putting 
in (i), we get
Therefore, the correct option is B.
Let x represent the length of the shortest side. Then the longest side is
... 2x -7 . . . . . . 7 ft shorter than twice the shortest side
and the 3rd side is
... x +2 . . . . . . 2 ft longer than the shortest side.
The perimeter is the sum of the side lengths,
... x + (2x -7) + (x +2) = 59 . . . . . the given perimeter length
... 4x -5 = 59 . . . . collect terms
... 4x = 64 . . . . . . add 5
... x = 16 . . . . . . . . divide by 4
Then the other sides are
... 2×16 - 7 = 25 . . . . . longest side
... 16 +2 = 18 . . . . . . . . third side
The side lengths are 16 ft, 18 ft, and 25 ft.
Answer...... True
Explanation:
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