Answer:
Step-by-step explanation:
<u>Given is the system of linear equations:</u>
<u>Convert both equations into slope intercept form:</u>
- nx + 3y = 6 ⇒ 3y = - nx + 6 ⇒ y = - 1/3nx + 2
- 12x - 6y = 0 ⇒ 6y = 12x ⇒ y = 2x
<u>The system has no solution if lines have equal slopes with different y-intercepts:</u>
If they both have the same volume and height, they would also have the same surface area.
Answer:
r = 1
Step-by-step explanation:
8 - 6r + 3 = 5
Combine like terms
11 - 6r = 5
Subtract 5 from both sides
6 - 6r = 0
Add 6r to both sides
6 = 6r
Divide both sides by 6
1 = r
This is the concept algebra.
Volume of of paint that is required to paint large shipping crate is a liters.
suppose the volume of this crate is x cubic units.
The volume of the next crate to be painted will be 2x cubic units.
Hence the amount of paint required to paint the crate will be:
(volume of bigger crate)/(volume of smaller crate)×(volume of liters required to paint the first crate)
=(2x)/(x)×a
=2a liters
To paint the new crate 2a liters of oil is needed.
Answer:
54 sq units
Step-by-step explanation:
The triangle at the top (FAB) has a base of 10 and a height of 3. Area of triangle is 1/2bh so 1/2(10 * 3) = 1/2 * 30 = 15 sq units
If you cut off the triangle you have a trapezoid, EBCD. A trapezoid is (b1 + b2)/2 * h, so (6 + 7)/2 * 6 = 13/2 * 6 = 6.5 * 6 = 39 sq units
Add them together: 15 + 39 = 54 sq units
