Answer:
Distance LM = 5.20 unit (Approx.)
Step-by-step explanation:
Given coordinates;
L(1, 4, 7) and M(2, 9, 8)
Find:
Distance LM
Computation:
Distance between three-dimensional plane = √(x2 - x1)² + (y2 - y1)² + (z2 - z1)²
Distance LM = √(2 - 1)² + (9 - 4)² + (8 - 7)²
Distance LM = √(1)² + (5)² + (1)²
Distance LM = √1 + 25 + 1
Distance LM = √27
Distance LM = 3√3 unit
Distance LM = 3(1.732)
Distance LM = 5.196
Distance LM = 5.20 unit (Approx.)
Answer:
6
Step-by-step explanation:
3=x/2
Multiply both sides by 2
Answer:
-5
Step-by-step explanation:
-2.5y + 8y - 10.5
= 5.5y - 10.5y
= -5y
The coefficient of the variable y is -5.
x is 
Step-by-step explanation:
Let us revise some rules of exponents
∵ 
- Factorize 27 and 9
∵ 27 = 3 × 3 × 3
∴ 27 = 3³
∵ 9 = 3 × 3
∴ 9 = 3²
Substitute them in the equation
∴ 
- Use the third rule to simplify each side
∴ 
- Use the fourth rule
∵ The bases of the two sides are equal
∴ Their exponents are equal
∴ 3x - 3 = 6x - 14
- Subtract 6x from both sides
∴ -3x - 3 = -14
- Add 3 to both sides
∴ -3x = -11
Divide both sides by -3
∴ x = 
x is 
Learn more:
You can learn more about equations in brainly.com/question/4934417
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