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liubo4ka [24]
3 years ago
13

Anyone know the answer to x^2 - 11x + 18 = 0

Mathematics
2 answers:
Artyom0805 [142]3 years ago
6 0
Two solutions are found
1. x=9
2. x=2
Digiron [165]3 years ago
5 0

Answer:

x= 9, x= 2

Step-by-step explanation:

x^2- 2x- 9x+ 18= 0

x (x-2) -9 (x-2)

(x-9) (x-2)

x-9= 0, x-2= 0

Therefore, x= 9, x= 2

If you don't mind, plz mark me brainliest

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For each of the following, use logic laws to decide whether the statement is a tautology contradiction, or neither. a (a) (A B)
spayn [35]

Answer:

The statement (A\rightarrow \lnot B)\land (B\rightarrow A) is a contingency.

The statement (P\rightarrow \lnot P)\land P is a contradiction.

Step-by-step explanation:

A tautology is a proposition that is always true.

A contradiction is a proposition that is always false.

A contingency is a proposition that is neither a tautology nor a contradiction.

a) To classify the statement (A\rightarrow \lnot B)\land (B\rightarrow A), you need to use the logic laws as follows:

(A\rightarrow \lnot B)\land (B\rightarrow A) \equiv

\equiv (\lnot A \lor\lnot B)\land(\lnot B \lor A) by the logical equivalence involving conditional statement.

\equiv (\lnot B\lor \lnot A )\land(\lnot B \lor A) by the Commutative law.

\equiv \lnot B \lor (\lnot A \land A) by Distributive law.

\equiv \lnot B \lor (A \land \lnot A) by the Commutative law.

\equiv \lnot B \lor F by the Negation law.

Therefore the statement (A\rightarrow \lnot B)\land (B\rightarrow A) is a contingency.

b) To classify the statement (P\rightarrow \lnot P)\land P, you need to use the logic laws as follows:

(P\rightarrow \lnot P)\land P \equiv

\equiv (\lnot P \lor \lnot P)\land P by the logical equivalence involving conditional statement.

\equiv P \land (\lnot P \lor \lnot P) by the Commutative law.

\equiv (P \land \lnot P) \lor (P \land \lnot P) by Distributive law.

\equiv F \lor F \equiv F by the Negation law.

Therefore the statement (P\rightarrow \lnot P)\land P is a contradiction.

8 0
3 years ago
Why is division by zero not allowed? Explain using your knowledge of how division is related to subtraction.
anyanavicka [17]
It’s impossible because any number divided by 0 will always just be 0
6 0
2 years ago
Read 2 more answers
Sales Tax
kicyunya [14]

Answer: $2.40

Step-by-step explanation:

$60.00 x .04 = $2.40

8 0
3 years ago
Read 2 more answers
The SI unit for pressure is pascal (Pa). One hectopascal would equal how many pascals?
IgorLugansk [536]

Answer:

100 pascals would be your answer

have a great day ! ⭐️

8 0
3 years ago
suppose a ladder 20 feet long is placed against a vertical wall 20 feet high . how far would the top of the ladder move down the
dezoksy [38]
The ladder leaning against the wall forms a right angled triangle with the gound and the wall. So we can use the formula:a² + b² = c²The ladder is the hypotenuse c²The vertical leg is b²The base or horizontal leg is a²We need to find the length of the base a²,  so:a² = c² - b²a² = 5² - 4²a² = 25 - 16a² = 9a = √9a = 3<span>Therefore the bottom of the ladder must be 3 feet  from the wall.

Example:
</span>If the 24 foot ladder is leaned on the house with the bottom 8 feet  from the base  the wall of the house, then it will form a right angled triangle.The base of the triangle will be 8 feet while the 24 foot ladder forms the hypotenuse. We need to find out the height from the base of that wall to the point the ladder touches the wall.Let the hypotenuse be CLet the base be BLet the height be AWe use this formula:   A squared + B squared = C squaredA sq + 8 sq = 24 sqA sq + 64 = 576A sq = 576 - 64A sq = 512A = Square root 512A = 22.6To the nearest 10th this will be 23<span>So the answer is 23 feet.</span>
6 0
3 years ago
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