The correct question is
<span>
Penelope determined the solutions of the quadratic function by completing the square.f(x) = 4x² + 8x + 1
–1 = 4x² + 8x
–1 = 4(x² + 2x)
–1 + 1 = 4(x² + 2x + 1)
0 = 4(x + 2)²
0 = (x + 2)²
0 = x + 2
–2 = x
What error did Penelope make in her work?
we have that
</span>f(x) = 4x² + 8x + 1
to find the solutions of the quadratic function
let
f(x)=0
4x² + 8x + 1=0
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(4x² + 8x)=-1
Factor the
leading coefficient
4*(x² + 2x)=-1
Complete the square Remember to balance the equation
by adding the same constants to each side.
4*(x² + 2x+1)=-1+4 --------> ( added 4 to both sides)
Rewrite as perfect squares
4*(x+1)²=3
(x+1)²=3/4--------> (+/-)[x+1]=√3/2
(+)[x+1]=√3/2---> x1=(√3/2)-1----> x1=(√3-2)/2
(-)[x+1]=√3/2----> x2=(-2-√3)/2
therefore
the answer is
<span>
Penelope should have added 4 to both sides instead of adding 1.</span>
Answer:
331.4
Step-by-step explanation:
Side length (a)
8.284
yd
Perimeter
66.27
yd
Area
331.4
yd²
Longest diagonal (l)
21.65
yd
Medium diagonal (m)
20
yd
Shortest diagonal (s)
15.307
yd
Circumcircle radius (R)
10.824
yd
Incircle radius (r)
10
yd
Answer: The correct option is D.
Explanation:
From the graph we noticed that the x intercept of the line is (2,0) and the y-intercept is (0,2).
If the line passing through two points then the equation of line is,
Since the ien passing through (2,0) and (0,2).
This equation is represented by option D, therefore the option D is correct.
Okay so divide 56 by 14 and so x = 4
Answer:
w = -16
Step-by-step explanation:
w + (-2) = -18
-18 - (-2) = w = -16
w= -16
Check your work:
-16 + (-2) = -18
