Answer:
(-5,-28)
Step-by-step explanation:
Given
Required
Find the coordinates of the vertex
Given that the function is a quadratic function;
The general form of a quadratic function is
By comparison;
To calculate the coordinates of the vertex;
we start by calculating the x-coordinate;
Substitute 10 for b and 1 for a
Substitute in the given function;
<em>Hence, the coordinates of the vertex is (-5,-28)</em>
Answer:
He multiplied the denominators incorrectly
Step-by-step explanation:
we know that
The volume of a rectangular prism is given by the formula
V=LWH
we have
L=3/4 ft
W=5/1 ft
H=1/2
substitute
V=(3/4)(5/1)(1/2)= 3x5x1= 15
₋₋₋₋₋₋₋₋ ₋₋₋₋ ft³
4x1x2= 8
therefore
He multiplied the denominators incorrectly
When we rotate a figure and there is no change in the shape of the figure then it has rotational symmetry.
We know that the order of rotation for a square is 4.
Hence, we have 
Thus, the angle of rotational symmetry of square are
Hence, the minimum angle of rotational symmetry is 
Therefore, the minimum angle of rotational symmetry for a square is 90 degrees.
4z+2(z-4)=3z+11 perform indicated multiplication on left side
4z+2z-8=3z+11 combine like terms on left side
6z/-8=3z+11 add 8 to both sides
6z=3z+19 subtract 3z from both sides
3z=19 divide both sides by 3
z=19/3
z=6 1/3
So there is only one solution when z=6 1/3
