Solve the following system by elimination: 4x+3y=2 5x + 4y = 3
1 answer:
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Answer:
no solutions
Step-by-step explanation:
Since the two terms have the same base, we are able to use the rule for subtracting logarithms:
Therefore, the equation can be written as:
By using the definition of a logarithm we can say that:
When plugging this solution in, you find that the term has x-6 evaluate to a number less than 0. This is not included in the domain of log functions, so
is not a valid solution. This means that there are no solutions.
Question 1.
x - 7 > - 8
Adding 7 to both sides, we get:
x - 7 + 7 > - 8 + 7
x > -1
Thus the answer to the inequality is option Fourth.
Question 2.
A number exceeds 66. Let that number be x. The number exceeds 66 means that the number is larger than 66. So in form of an expression we can write the inequality as:
x is greater than 66
x > 66
So, option 1st gives the correct answer.
Question 3.
The tiles are square shaped and area of a square can be calculated as the square of its Length.
Area of square = (Length)²
If we are given the Area, we can find the length as:
Length =
For Tile A, the length will be:
So length is a Rational number
For Tile B, the length will be:
So length is a Rational number
For Tile C, the length will be:
So, Length is not Rational.
For Tile D, the length will be:
Length is not Rational
Thus, the lengths of Tile A and Tile B are rational only.
Therefore, the correct answer is 1st option
x - 7 > - 8
Adding 7 to both sides, we get:
x - 7 + 7 > - 8 + 7
x > -1
Thus the answer to the inequality is option Fourth.
Question 2.
A number exceeds 66. Let that number be x. The number exceeds 66 means that the number is larger than 66. So in form of an expression we can write the inequality as:
x is greater than 66
x > 66
So, option 1st gives the correct answer.
Question 3.
The tiles are square shaped and area of a square can be calculated as the square of its Length.
Area of square = (Length)²
If we are given the Area, we can find the length as:
Length =
For Tile A, the length will be:
So length is a Rational number
For Tile B, the length will be:
So length is a Rational number
For Tile C, the length will be:
So, Length is not Rational.
For Tile D, the length will be:
Length is not Rational
Thus, the lengths of Tile A and Tile B are rational only.
Therefore, the correct answer is 1st option
9514 1404 393
Answer:
16.8°
Step-by-step explanation:
The Law of Cosines can be rearranged to give the angle measure.
angle Q = arccos((p² +r² -q²)/(2pr))
angle Q = arccos((690² +450² -290²)/(2×690×450))
angle Q = arccos(594500/621000) ≈ 16.7985°
The measure of angle Q is about 16.8°.
