17:2 equals is 17/19 of the whole and part b is 2/19 of the whole
Answer:
a and b
Step-by-step explanation:
............. ...... ..
Answer:
n = 0.38 rotation per second
Step-by-step explanation:
The device rotates according to the mathematical equation :
...(1)
Where n is the rotational speed and is measured in rotations per second (s).
r is radius of the circulator and is measured in meters (m).
We need to find the rotational speed when radius is 1.7 m. Put r = 1.7 m in equation (1).

Hence, the rotational speed is 0.38 rotation per second.
Answer:
k = 5
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
15 - 3k = 10(k - 5)
<u>Step 2: Solve for </u><em><u>k</u></em>
- Distribute 10: 15 - 3k = 10k - 50
- Add 3k to both sides: 15 = 13k - 50
- Add 50 to both sides: 65 = 13k
- Divide 13 on both sides: 5 = k
- Rewrite: k = 5
<u>Step 3: Check</u>
<em>Plug in k into the original equation to verify it's a solution.</em>
- Substitute in <em>k</em>: 15 - 3(5) = 10(5 - 5)
- Subtract: 15 - 3(5) = 10(0)
- Multiply: 15 - 15 = 0
- Subtract: 0 = 0
Here we see that 0 does indeed equal 0.
∴ k = 5 is a solution of the equation.
The coordinates of X are (5, 11).
Solution:
Given points of the line segment are P(2, 2) and T(7, 17)
Let X be the point that partitions the directed line segment PT in the ratio 3 : 2
Using section formula, we can find the coordinate of the point that partitions the line segment.
Section formula:

Here,
and m = 3, n =2
Substitute these in the section formula,




X(x, y) = (5, 11)
The coordinates of X are (5, 11).