Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly 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 choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.