Answer:
b. The system is not in echelon form because the system is not organized in descending "stair step" pattern so that the index of the leading variables increases from the top to bottom.
Step-by-step explanation:
The given linear system has a equation which is not in echelon form. The echelon is a system which divides the data into rigid hierarchal groups. The given linear equation in not in echelon form as the leading variables are increased from top to bottom indicating descending stair step pattern.
Answer:
(b)
Step-by-step explanation:
A suitable calculator or spreadsheet can find the matrix product for you. Here, the answer choices differ in their upper left term, so we can determine the correct choice by finding the value of that term. It is the dot product of the first row of B and the first column of A.
(5)(3) +(7)(3) +(3)(2) = 15 +21 +6 = 42
This matches choice B.
Answer:
4) reflexive property of congruence
5) SAS theorem
6) property of Congruent triangles
Step-by-step explanation:
Given:
In ΔXYZ, line YW ⊥ XZ
Also XW≅ZW
Now
4) by reflexive property of congruence that states that any line,object or figure is congruent to itself
hence YW≅YW
5) By SAS theorem that states that if the two corresponding sides and the angle between those sides of two triangles are congruent then the two triangles are said to be congruent.
Hence ΔWXY≅ΔWZY
6) By property of Congruent triangles that states that if two triangles are congruent then their corresponding sides are also congruent.
Hence XY≅ZY !
He has 87 cards then he gets 9 more which is 96, he then gives 16 away which is 80, then he is given 3 which is 83 he sells all 83 cards to the collector & the collector gives him $124.50 each card is worth $1.50
Let x = the length of the triangle's hypotenuse
using proportions, this is what the equation looks like:
cross multiply to get:
divide both sides by 45 to get
x=12