Cosine rule
Cosx=(11 ²+8²-(15²))/2(11)(8)
Cosx=(121+64-225)/176
Cosx=-40/176
Cosx=-5/22
X=cos-1 -5/22
X=103.1
substitute the ordered pair (2, 3 ) into the 2 equations
(3 × 2 ) + (4 × 3 ) = 6 + 12 = 18 → True
(2 × 2 ) - (2 × 3 ) = 4 - 6 = - 2 → False
Hence the ordered pair (2, 3 ) is not a solution to the system of linear equations.
When (2, 3 ) is substituted into the first equation, the equation is true.
When (2, 3 ) is substituted into the second equation, the equation is false.
The answer is 1 1/2 and 1 whole
D. It Is The Most Fitting Answer. The Other 3 Equal More Than Needed.
By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)
<h3>How to solve an algebraic equation</h3>
In this question we have an equation that can be solved by <em>algebraic</em> definitions and theorems, whose objective consists in clearing the variable x. Now we proceed to solve the equation for x:
- - 10 · x + 1 + 7 · x = 37 Given
- (- 10 · x + 7 · x) + 1 = 37 Associative property
- -3 · x + 1 = 37 Distributive property/Definition of subtraction
- - 3 · x = 36 Compatibility with addition/Definition of subtraction
- x = 12 Compatibility with multiplication/a/(-b) = -a/b/Definition of division/Result
By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)
To learn more on linear equations: brainly.com/question/2263981
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