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:
(3x + 5)(9x^2 - 15x + 25)
Step-by-step explanation:
27x^3 + 125
= (3x)^3 + 5^3
= (3x + 5) ((3x)^2 - (3x)(5) + 5^2)
= (3x + 5)(9x^2 - 15x + 25)
FYI: a³ + b³ = (a + b)(a² – ab + b²)
Answer:
y = -x - 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
x + y = -4
<u>Step 2: Rewrite</u>
<em>Find slope-intercept form</em>
- Subtract <em>x</em> on both sides: y = -x - 4
Answer: 30 m3 (meters cubed)
Step-by-step explanation:
To get the volume of a rectangular prism, multiply the width times the length times the height.
1 x 5 x 6 = 30
Add the unit label
