Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

What is the location of the point on the number line that is [tex]\frac{2}{7}[/tex] of the way from [tex]A = 18[/tex] to [tex]B = 4[/tex]?

A. 15
B. 14
C. 16
D. 13

Sagot :

GinnyAnswer
To find the location of the point on the number line that is [tex]\(\frac{2}{7}\)[/tex] of the way from [tex]\(A = 18\)[/tex] to [tex]\(B = 4\)[/tex], follow these steps:

1. Determine the difference between points [tex]\(A\)[/tex] and [tex]\(B\)[/tex]:
[tex]\[ B - A = 4 - 18 = -14 \][/tex]

2. Calculate [tex]\(\frac{2}{7}\)[/tex] of this difference:
[tex]\[ \frac{2}{7} \times (-14) = \frac{2 \times -14}{7} = \frac{-28}{7} = -4 \][/tex]

3. Add this value to point [tex]\(A\)[/tex] to find the location:
[tex]\[ A + \left(\frac{2}{7} \times (B - A)\right) = 18 + (-4) = 14 \][/tex]

Therefore, the location of the point that is [tex]\(\frac{2}{7}\)[/tex] of the way from [tex]\(A\)[/tex] to [tex]\(B\)[/tex] is [tex]\(\boxed{14}\)[/tex].
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.