Answer:
True
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, - 9), thus
y = a(x + 4)² - 9
To find a substitute the coordinates of the zero (- 7, 0) into the equation.
0 = a(- 7 + 4)² - 9, that is
0 = 9a - 9 ( add 9 to both sides )
9a = 9 ( divide both sides by 9 )
a = 1, thus
y = (x + 4)² - 9 ← expand factor using FOIL
y = x² + 8x + 16 - 9
y = x² + 8x + 7
Answer:
(a, b) = (0, -15)
Step-by-step explanation:
In "cis" form the product of two complex numbers is the product of their magnitudes at the angle that is the sum of their angles. I find this the easiest way to multiply complex numbers.
z1 × z2 = (3 cis π)(5 cis π/2)
= (3·5) cis (π +π/2)
= 15 cis 3π/2
Of course, "cis" is short for "cosine + i·sine", so you have ...
z1 × z2 = 15 cis 3π/2 = 15(cos(3π/2) +i·sin(3π/2))
= 15(0 +i·(-1))
= 0 -15i
(a, b) = (0, -15)
Answer:
The conclusion about p using an absolute value inequality is
Step-by-step explanation:
From the question we are told that
The sample proportion is 
The margin of error is 
The confidence interval is mathematically represented as
=> 
=>
the height of the trapezoid of 5, i think.
my work:
i used this formula: 2 x a + b / A
so, you plug in what you know.
2 x 8+6 / 35 = 5
Well, if the the triangle is rotated clockwise it will lie in quadrant 4. if it is rotated anticlockwise it will lie on quadrant 2
hope this helps
