A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted. In Euclidean geometry any three points, when non-collinear, determine a unique triangle and a unique plane. This article is about triangles in Euclidean geometry except where otherwise noted
1.1 Factoring: 4x2+9y2+16z2-6xy-12yz-8xz
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -6xy-12yz
Group 2: 16z2-8xz
Group 3: 4x2+9y2
Pull out from each group separately :
Group 1: (x+2z) • (-6y)
Group 2: (x-2z) • (-8z)
Group 3: (4x2+9y2) • (1)
Looking for common sub-expressions :
Group 1: (x+2z) • (-6y)
Group 3: (4x2+9y2) • (1)
Group 2: (x-2z) • (-8z)
The data set in discuss which contains three points and two of the residuals are 7 and -3 would have its third residual as; -4.
<h3>What is the third residual if the data set characterized as having 2 of its three residuals to be; 7 and -3?</h3>
According.tinthe task content, the data set in discuss has three points and consequently should have three residuals.
Additionally, two of the three residuals have been given and on this note, it follows that the third residual must have a value such that the algebraic sum of all residuals is 0.
Hence, we have; -3 + 7 +x = 0;
x = 3-7 = 4.
Ultimately, the third residual is; -4.
Read more on residuals in a data set;
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Answer:
He messed up the signs, most likely by multiplying incorrectly. It should be 53x+12.
Step-by-step explanation:
You begin by multiplying both -2 and -10x by -6.
Remember a negative times a negative makes a positive.
-6(-2-10x)
12+60x
Then you need to combine like terms which are 60x and -7x
60x-7x
53x
So that means the final answer will be
53x+12
If you estimate to the thousandths its10.429