Answer:
6x-12
you don't know what the 'number' is so put it as a letter like 'x'
12 is getting subtracted from 6(x)
so 6x-12
Answer:
Step-by-step explanation:
Slope intercept form is y = mx + b
b is the y intercept
m is the slope
the y intercept is 40
y = mx + 40
the slope is -1
y = -1x + 40
Answer:the answer is A
Step-by-step explanation:
F(x)=x2
COORDINATE GEOMETRY (A) Main Concepts and Results
Cartesian system Coordinate axes Origin
Quadrants
Abscissa
Ordinate
Coordinates of a point Ordered pair
Plotting of points in the cartesian plane:
• In the Cartesian plane, the horizontal line is called the x-axis and the vertical line
is called the y-axis,
• The coordinate axes divide the plane into four parts called quadrants,
• The point of intersection of the axes is called the origin,
• Abscissa or the x-coordinate of a point is its distance from the y-axis and the ordinate or the y-coordinate is its distance from the x-axis,
• (x, y) are called the coordinates of the point whose abscissa is x and the ordinate is y,
• Coordinates of a point on the x-axis are of the form (x, 0) and that of the point on the y-axis is of the form (0, y),
CHAPTER 3
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COORDINATE GEOMETRY 25
• The coordinates of the origin are (0, 0),
• Signs of the coordinates of a point in the first quadrant are (+, +), in the second quadrant (–, +), in the third quadrant (–, –) and in the fourth quadrant (+, –).
(B) Multiple Choice Questions
Write the correct answer :
Sample Question 1: The points (other than origin) for which abscissa is equal to the ordinate will lie in
(A) I quadrant only (B) I and II quadrants
(C) I and III quadrants (D) II and IV quadrants Solution : Answer (C)
EXERCISE 3.1
Write the correct answer in each of the following : 1. Point (–3, 5) lies in the
(A) first quadrant (B) second quadrant
Answer:
x = 17
Step-by-step explanation:
Given equation:
(6x + 3) + 75 = 180
Subtract 75 from both sides:
⇒ (6x + 3) + 75 - 75 = 180 - 75
⇒ 6x + 3 = 105
Subtract 3 from both sides:
⇒ 6x + 3 - 3 = 105 - 3
⇒ 6x = 102
Divide both sides by 6:
⇒ 6x ÷ 6 = 102 ÷ 6
⇒ x = 17
