Answer:
A
Step-by-step explanation:
We know a number is an expression when it is:
1) NOT greater/ less than something else
2) NOT equal/ not equal to something else
The only answer choice that satisfies the above is A.
Answer:
height = 14.2 m , base = 7.1 m
Step-by-step explanation:
let the base be b then height h = 2b
The area (A) of a triangle is calculated as
A = 
bh
Here A = 50 , then
× b × 2b = 50
b² = 50 ( take square root of both sides )
b = 
≈ 7.1 ( to the nearest tenth )
Then base = 7.1 m and height = 2 × 7.1 = 14.2 m
Seventeen-thousand and one hundred 6 thousandths written in standard form would be 17,000.106
Hope this helped =)
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>
