The two ways to find the ratio of the length is to turn the inches into feet or the feet into inches
So the answer can be solved like this:
1/36ft to 1/4ft which is 9:1 (blueprint size to actual size)
or
1/3in to 3in which is also 9:1 (blueprint size to actual size)
Answer:
25
Step-by-step explanation:
16+9 is 25
Answer: D. f(-2)=g(-2)
Step-by-step explanation:
This problem is asking which of the options are correct. Looking at the options, you can see that it is saying that the same x-coordinate on f(x) and g(x) gives you the same solution. Therefore, we want to find the solution of the graph.
Looking at the graph, we can see that the solution is (-2,4). We know this because that is the intersection point of f(x) and g(x). Therefore, D is the correct answer.
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:
1.6
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