Answer: option d. the argument is valid by the law of detachment.
The law of detachment consists in make a conlcusion in this way:
Premise 1) a => b
Premise 2) a is true
Conclusion: Then, b is true
Note: the order of the premises 1 and 2 does not modifiy the argument.
IN this case:
Premise 1) angle > 90 => obtuse
Premise 2) angle = 102 [i.e. it is true that angle > 90]]
Conclusion: it is true that angle is obtuse
Answer:
(82/3, -111/2) or x=82/3, y=-111/2
Step-by-step explanation:
-2x+4y=36
Add +2x to both sides
4y=2x+36
Decide every term by 4
y= 2/4x + 9
The slope is 2/4
We are given the expression:
(17.6^-1)^8 = 17.6 ^ -8
This means that the two terms on each side are equal. We are asked to show how this is possible.
First, use the rule of exponents. If a term raised to the power of a number x^n and is further raised to the power m: (x^n)^m, to simplify the expression, multiply n and m and this will be your end exponent = x^nm.
We can apply this rule here:
17.6^-1 ^ 8
-1 * 8 = -8
then, retain the base and replace the exponent with the product nm:
17.6 ^-8. This proves that the left term is equal to the right term. <span />
