Answer: The answer is given below.
Step-by-step explanation: The description is as follows:
(a)<u> </u>2 lines in the plane : Any two lines in a plane can either be parallel or intersect at only one point.
(b) 3 lines in the plane : Any three lines in a plane may intersect at a point, if so, they are called concurrent lines, or they may never intersect.
(c) 2 lines in space : There are exactly three possibilities.
* The two lines are distinct and they have no points in common.
* The two lines are distinct and they have exactly one point in common.
* The two lines are really the same line and they have all of their points in common.
(d) ) 3 planes in space : Here also, we have three possibilities:
* The three planes are distinct and they have no points in common.
* The three planes share exactly one point.
* The three planes share infinitely many points, i.e., they could all share a line or they could all be the same plane.
Answer:
1. 
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2. 
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3. 
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4. 
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5. 
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Step-by-step explanation:
1. The product of the third power of a and the fourth power of b = .
The 'third power of a' means 'a to the power 3' and 'fourth power of b' means 'b to the power 4'.
2. Six less than three times the square of Y means .
Here, 'three times the square of Y' means 'product of 3 and Y to the power 2', and 'six less than' means 'subtract 6 from the expression'.
3. The sum of a and b increase by the quotient of b and a means .
Here, 'quotient of b and a' means 'b divided by a'.
4. Four times the sum of r and a increased by twice the different r and s means .
Here, 'increased by' means 'addition' and 'different r and s' means 'r minus s'.
5. Triple the difference of 55 and cube of w means .
Here, triple means 3 times. (Answer)
The image of the point is still a point. The reflection point across the y-axis is (4,6)
4<5x i think that was work
X = y - 3 (equation 1)
2x + y = 12 (equation 2)
Substitute equation 1 into equation 2, replacing every x value with equation 1
2(y - 3) + y = 12
Now, distribute the 2 inside the brackets and simplify.
2y - 6 + y = 12
3y = 18
y = 6 (divided both sides by 3)
Substitute y back into equation 1 to find x.
x = 6 - 3
x = 3
Verify that these are correct by substituting them into equation 2.
2(3) + 6 = 6 + 6 = 12
Therefore, x = 3 and y = 6
