Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

4) If points [tex]P[/tex] and [tex]Q[/tex] have coordinates [tex](-2, 7)[/tex] and [tex](-5, 9)[/tex] respectively, then the value of (abscissa of [tex]P[/tex]) - (abscissa of [tex]Q[/tex]) is:

(a) 3
(b) -3
(c) -2
(d) 2

Sagot :

GinnyAnswer
Let's solve the problem step-by-step.

We are given the coordinates of two points:
- Point [tex]\( P \)[/tex] with coordinates [tex]\( (-2, 7) \)[/tex]
- Point [tex]\( Q \)[/tex] with coordinates [tex]\( (-5, 9) \)[/tex]

The abscissa of a point refers to its x-coordinate. Therefore:
- The abscissa of point [tex]\( P \)[/tex], denoted [tex]\( x_P \)[/tex], is [tex]\( -2 \)[/tex].
- The abscissa of point [tex]\( Q \)[/tex], denoted [tex]\( x_Q \)[/tex], is [tex]\( -5 \)[/tex].

We need to find the value of the abscissa of [tex]\( P \)[/tex] minus the abscissa of [tex]\( Q \)[/tex]. Mathematically, this is written as:
[tex]\[ x_P - x_Q \][/tex]

Substituting the values we have:
[tex]\[ x_P - x_Q = -2 - (-5) \][/tex]

Simplifying the subtraction of a negative number, we get:
[tex]\[ -2 - (-5) = -2 + 5 \][/tex]

Now, performing the addition:
[tex]\[ -2 + 5 = 3 \][/tex]

Thus, the value of the abscissa of [tex]\( P \)[/tex] minus the abscissa of [tex]\( Q \)[/tex] is [tex]\( 3 \)[/tex].

So, the correct answer is:
(a) 3
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.