Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

On a number line, point F is at 4, and point G is at -2. Point H lies between point F and point G. If the ratio of FH to HG is 3:9, where does point H lie on the number line?

Point H is at _______ on the number line.

Sagot :

GinnyAnswer
Let's solve this problem step-by-step:

1. Understand the Points and the Ratio:
- Point F is at 4.
- Point G is at -2.
- The ratio of the segments FH to HG is given as 3:9. This ratio simplifies to 1:3.

2. Calculate the Total Distance:
- The distance between F and G (total distance) is the difference between F and G's positions on the number line.
- Distance = F - G
- Distance = 4 - (-2) = 4 + 2 = 6.

3. Divide the Distance According to the Ratio:
- The ratio 1:3 means that if the total distance is divided into 4 equal parts (since 1+3=4), FH will correspond to 1 part and HG will correspond to 3 parts.
- Each part of the distance is 6 / 4 = 1.5.

4. Calculate the Length of FH:
- Since FH is one part, FH = 1.5.

5. Determine the Position of Point H:
- Point H is between F and G, and FH is 1.5. Starting from F (which is at 4), we move 1.5 units towards G (in the negative direction).
- Position of H = F - FH = 4 - 1.5 = 2.5.

Therefore, point H is at 2.5 on the number line.
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.