Answer:
Completing the square we get: 
and factoring the term we get: 
Step-by-step explanation:
We need to complete the square for the expression 
For completing the square the expression would be of form 
For given expression we have to add (2)^2 and subtract to make it complete the square.
Now, we have to factor the polynomial using formula 
So, 
Completing the square we get:
and factoring the term we get:
Answer: A
Step-by-step explanation:
You can solve a system of equations by graphing, elimination, substitution, or using a combination. The graph of a linear equation is a line. The point(s) where one line intersects another is the solution to the system. Therefore, since Lucy found that the lines intersected at the point (-4, 1), it is the solution to the system of linear equations
Answer:
k² - 18k + 81
Step-by-step explanation:
Using the given model then
(k - 9)² with a = k and b = 9
= k² - 2(k)(9) + 9²
= k² - 18k + 81
Unknown side length of two similar triangles can be found out by scale factor and any of the side lengths.
Step-by-step explanation:
The similarity is one of the criteria of triangles. Two triangles are similar when their respective sides are in similar ratio or proportion. In layman’s term, it can be understood as a condition in which two triangles have similar shapes but not similar sizes.
If ΔABC is similar toΔ XYZ, then their respective sides would be in proportion to each other.
This means AB/XY=AC/XZ=BC/YZ
This common ratio is often termed as “scale factor”
Hence any sides length can be found out if either of the terms (i.e. scale factor, side ) is given.
Rewrite in quadratic form:
x² + 13x + 4 = 0
The best approximations, given the options, are 0 and -13
The actual solution is -0.3 and -12.7
