The axis of symmetry is the fold line that splits the parabola down the middle.
Now, since a parabola is symmetrical, every point, except the vertex, will have a mirror image of another point if we folded the parabola over the axis of symmetry.
So if we know the axis of symmetry is x = 3 and one of our points
has the coordinates (5, 0), the other point will have the coordinates (3, 0).
The axis of symmetry is always halfway between the x-intercepts.
Answer:
42
Step-by-step explanation:
SST = ∑
(
y
−
¯
y
)
² (¯
y = mean of y values)
¯
y = (5+8+14)/3 = 27/3 = 9
∑
(
y
−
¯
y
)
² = (
5
−
9
)
² + (
8
−
9
)
² + (
14
−9
)
²
= ( −
4
)
² + ( −
1
)
² + (
5
)
²
= 16 + 1 + 25
= 42
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The geometry term does each statement above represents is Statement 1 is postulate because you have to prove that corresponding angles are congruent.
Answer:
D) -4x+14
Step-by-step explanation:
We are given with the expression
3 - (4x - 5) + 6
Here we are going to open the bracket at first step
as we have a negative sign in front of bracket the signs of the terms inside brackets will be reversed
3-4x+5+6
now we bring the like terms together
3+5+6 - 4x
Here 3, 5, 6 all are constant and hence like
14-4x
or
3 - (4x - 5) + 6= -4x+14
Hence our answer is -4x+14
Area of shaded region = Area of larger circle - Area of smaller circle.
We know, Area of a Circle = πr²
So, A = πr₁² - πr₂²
A = π (r₁² - r₂²)
A = π(10.2² - 5.4²)
A = 3.14 (104.04 - 29.16)
A = 3.14 (74.88)
A = 235.12
In short, Your Answer would be 235.12 cm²
Hope this helps!
