vertex = (3,- 5 )
given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 ), then
the x-coordinate of the vertex is
= -
y = x² - 6x + 4 is in standard form
with a = 1, b = - 6 and c = 4, hence
= -
= 3
substitute this value into the equation for y- coordinate
y = 3² - 6(3) + 4 = 9 - 18 + 4 = - 5
vertex = (3, - 5 ) → second table
Answer:
You use the formulas for the shapes
Cylinder= 2×π×r×h+2×π×r² π×r²×h
Cone= π×r²×
Square Prism= 2×a²+4×a×h a²×h
↑a=base edge
Step-by-step explanation:
Surface Area Volume
Cylinderical Head ≈282.74 ≈314.16
Conical Hat ≈170.13 ≈78.54
Right Cylinder Torso ≈471.24 ≈785.4
Right Cylinder Arm ≈56.55 ≈25.13
Square Prism Leg =224 =192
Answer:
Step-by-step explanation:
Let the number be x;
The product of 4 and the number will be;
The the square of the number is given as;
Taking the difference of both expressions above;
Factor out the common term:
Hence the difference between the product of 4 and a number and the square of the number is
<u>Answer: </u>
sec squared 55 – tan squared 55 = 1
<u>Explanation:</u>
Given, sec square 55 – tan squared 55
We know that,
And,
where Ө is the angle
Substituting the values
Solving,
According to Pythagoras theorem,
Putting this in the equation;
squared 55 - tan squared 55 =
Therefore, sec squared 55 – tan squared 55 = 1