We know that this is a parabola, as the equation is denoted by the x^2 term.
We can see that the symmetry is seen at the point -0.5, therefore making the axis of symmetry the vertical line -0.5.
The vertex is found in quadrant three. In other words, it will shift by a negative value both horizontally and vertically. The vertex is therefore (-0.5, -0.5).
We can verify this in the equations by using the formula (-b/2a) to find the vertex. The only quadratic equation that satisfies this is -2x^2 + 2x -1.
To sum it up, the answers are:
-2x^2 + 2x - 1.
AoS: x = -0.5
Vertex: (-0.5, -0.5).
The answer is C since the 1 in the square root is a horizontal shift to the left by one and a vertical shift up by 7
We can assume that the shape is a rectangular prism by the given dimensions
Volume of a rectangular prism
Volume = Area of Base × Height of prism
= Length × Width × Height of prism
Substitute!
168 = L × 7 × 3
168 = L × 21
Divide 21 on either sides to isolate L
=
21 and 21 cancels out
8 = L
L = 8 yd
Y = 180 - 52 - 59 = 69 degrees . . . . . . . . (angles on a straight line are supplementary, i.e. add up to 180 degrees)
x = 180 - 69 - 63 = 48 degrees . . . . . . . . (sum of interior angles of a triangle is 180 degrees)
Therefore, m/_x = 48 degrees.
Answer:
x=1
Step-by-step explanation:
3^ (3x+1) = 81
Rewrite 81 as a power of 3
3^4
3^ (3x+1) = 3^4
Since the bases are the same, the powers are the same
3x+1 =4
Subtract 1 from each side
3x+1-1 =4-1
3x=3
Divide by 3
3x/3 = 3/3
x =1
