The distance between two points with the given coordinates in space is;
<u><em>Distance = 17 units</em></u>
We are given the coordinates;
(32, 12, 5)
(20, 3, 13)
- Formula for the distance between two points that have (x, y, z) coordinates is;
d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)
From the equation given to us, we can see that;
x₁ = 32
x₂ = 20
y₁ = 12
y₂ = 3
z₁ = 5
z₂ = 13
- Using the <em>formula for the distance</em>, we have;
d = √((20 - 32)² + (3 - 12)² + (13 - 5)²)
d = √(144 + 81 + 64)
d = √289
d = 17
Thus, the <em>distance</em> between the two points is 17 units
Read more at; brainly.com/question/20974053
Given:
Dividend = 
Divisor = 
To find:
The remainder by using the synthetic division.
Solution:
We have,
Dividend = 
The coefficients of dividend are 2, 5, -3. Write these elements in the top row of synthetic division.
Divisor = 
The value of divisor is 0 at
. So, write -3 on the left side of division.
Write down the first coefficient of dividend in bottom row, then multiply it by -3 and write the result below the next coefficient of dividend then add the coefficient and write the result in bottom row, then repeat the steps up-to last coefficient.
-3 | 2 5 -3
| -6 3
------------------------------------------
2 -1 0
-----------------------------------------
Here, the first two elements of the bottom row represent the coefficient of quotient and last element represent the remainder.
Therefore, the remainder is 0.
Answer: y = x - 1
<u>Step-by-step explanation:</u>
Use the Point-Slope form: y - y₁ = m(x - x₁) where
- (x₁ , y₁) is any point on the line
- m is the slope of the line

Let (x₁, y₁) = (2, 1) and (x₂, y₂) = (-4, -5)

Point-Slope form: y - 1 = 1(x - 2)
y - 1 = x - 2 <em>distributed 1 to (x - 2)</em>
y = x - 1 <em>added 1 to both sides</em>
Answer:
75%
Step-by-step explanation:
The simple way would be to just divide 45 by 60 (45/60) = .75
then to turn into a percentage you multiply by 100 (.75 times 100) =75
Final answer 75%