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Anon25 [30]
3 years ago
8

On a number line the directed line segment from Q to S has endpoints Q at -14 and S at 2. Point R partitions the directed line s

egment from Q to S in a 3:5 ratio.
Which expression correctly used the formula, to find the location of point R?
Mathematics
2 answers:
liq [111]3 years ago
8 0

Answer:

Step-by-step explanation:

The distance from Q to S is 2 - (-14), or 16.

We start at point Q.  Note how 3 and 5 add  up to 8, which allows us to write:

R = Q + (3/8)(16), or R = -14 + 6, or R = -8.

From R to S it is (5/8)(16), or 10 units.

The directed line segment is partitioned into segments of lengths 6 and 10, whose combined length is 16, as expected.

mars1129 [50]3 years ago
4 0

Answer:

14/5 or A

Step-by-step explanation:

I just took this assignment.

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schepotkina [342]
Here are the answers: they are in red

5 0
2 years ago
Hi does anyone know how to solve this question if so please show the working out.
tester [92]

Explanation:

The Law of Sines is your friend, as is the Pythagorean theorem.

Label the unmarked slanted segments "a" and "b" with "b" being the hypotenuse of the right triangle, and "a" being the common segment between the 45° and 60° angles.

Then we have from the Pythagorean theorem ...

  b² = 4² +(2√2)² = 24

  b = √24

From the Law of Sines, we know that ...

  b/sin(60°) = a/sin(θ)

  y/sin(45°) = a/sin(φ)

Solving the first of these equations for "a" and the second for "y", we get ...

  a = b·sin(θ)/sin(60°)

and ...

  y = a·sin(45°)/sin(φ)

Substituting for "a" into the second equation, we get ...

  y = b·sin(θ)/sin(60°)·sin(45°)/sin(φ) = (b·sin(45°)/sin(60°))·sin(θ)/sin(φ)

So, we need to find the value of the coefficient ...

  b·sin(45°)/sin(60°) = (√24·(√2)/2)/((√3)/2)

  = √(24·2/3) = √16 = 4

and that completes the development:

  y = 4·sin(θ)/sin(φ)

6 0
3 years ago
Data was collected ​
Rudiy27
Ok? what data?? i need context
3 0
3 years ago
Answer fast pls .....
Fudgin [204]
1. the perimeter of a square is always 4 * side, so = 4*31/8 = 31/2 or 15 and 1/2
2. area of a square is always the side multiplied by each other, so: 9/2 * 9/2 = 81/4 or 20 and 1/4
3 0
2 years ago
What are the next 3 terms in the sequence 3,6,9,12?
Ugo [173]

Answer:

15,18,21

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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