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Concept explainers
a. In a rectangular
b. A point in a rectangular coordinate system is defined by an__________ pair, (x, y).
c. In a rectangular coordinate system, the point where the x- and y-axes intersect is called the __________ and is represented by the ordered pair __________.
d. The x- and y-axes divide the coordinate plane into four regions called __________.
e. A point with a positive x-coordinate and a __________ y-coordinate is located in quadrant IV.
f. In quadrant __________, both the x- and y-coordinates are negative.
g. A linear equation in two variables is an equation that can be written in the form __________where A and B are not both zero.
h. A point where a graph intersects the x-axis is called a(n) __________.
i. A point where a graph intersects the x-axis is called a(n) __________.
j. A __________ line can be represented by an equation of the form x = k, where k is a constant.
k. A __________ line can be represented by an equation of the form y = k, where k is a constant.
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Chapter 2 Solutions
INTERMEDIATE ALGEBRA (LL)-W/ACCESS
- Solve the equation. Write the smaller answer first. 2 (x-6)² = 36 x = Α x = Previous Page Next Pagearrow_forwardWrite a quadratic equation in factored form that has solutions of x = 2 and x = = -3/5 ○ a) (x-2)(5x + 3) = 0 ○ b) (x + 2)(3x-5) = 0 O c) (x + 2)(5x -3) = 0 ○ d) (x-2)(3x + 5) = 0arrow_forwardA vacant lot is being converted into a community garden. The garden and a walkway around its perimeter have an area of 690 square feet. Find the width of the walkway (x) if the garden measures 14 feet wide by 18 feet long. Write answer to 2 decimal places. (Write the number without units). Hint: add 2x to each of the garden dimensions of 14 x 18 feet to get the total area for the length multiplied by width.arrow_forward
- Solve the rational equation 14 1 + x-6 x x-7 x-7 ○ a) x = 1, x = 8 ○ b) x = 1 ○ c) x = 7 ○ d) x = 1, x = 7arrow_forwardSolve the absolute inequality | x + 5 > 3 ○ a) (-∞, -8] U[-2, ∞0) ☐ b) (-8, -2) c) (-2, ∞0) ○ d) (-∞, - 8) U(-2, ∞0)arrow_forward1) Listen Describe the error in the problem X 3 X x 3 - 2 = 25x = 0 25x 25 x = ±5arrow_forward
- A falling object travels a distance given by the formula d = 6t + 7t² where d is in feet and t is the time in seconds. How many seconds will it take for the object to travel 115 feet? Round answer to 2 decimal places. (Write the number, not the units). Your Answer:arrow_forwardListen Solve the quadratic equation. Write the smaller answer first. 2 Xx - 5x = 24 x = Α x =arrow_forwardSolve the absolute equation |2x = 4| = 10 ○ a) x = -7, x = 3 ○ b) x = -2, x = 6 ○ c) x = -3, x = 7 ○ d) x = 7arrow_forward
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