It is hard to show work for this problem because it very similar to a basic addition or subtraction problem.
Just so you have the answer and how to solve. -27 is the answer. Think about it like 41-14 then add the negative back. But I would strongly suggest not writing that as work because you teacher might get confused about what you are doing
Remember that the angles of a triangle is 180 so:
(7x+8) + (5x+2) + (7x-1) = 180
7x+8+5x+2+7x-1=180
7x+5x+7x=180-8-2+1
19x=171
X= 171/19
X=9
Therefore x=9
Answer:
The volume is 128cm^3
Step-by-step explanation:
Given
Required
Determine an expression for its volume
Find the volume
Volume of a cube is:
Where x represents the length of a side
So, volume of 2 cubes would be:
Solving (b): Volume when x = 4
Substitute 3 for x in
<em>Hence, the volume is 128cm^3</em>
Answer:
4th one: A kite is the answer.
Allow me to review before I start. Inconsistent means there's no solution to the system of simultaneous equations, i.e. parallel lines. Consistent means there's at least one solution. Independent and dependent apply to consistent systems. The former means exactly one solution (two lines in different directions which meet). Dependent means an infinite number of solution; the two lines are really the same line.
1. We have two different slopes, lines in two different directions, so they'll meet in exactly one place. That system is consistent and independent, the usual case.
2. We can write the first one y-3x= -2 and the second y-3x=+2. These are parallel lines that are different, so no solution: inconsistent.
3. The first equation is x+2y=4, same as the second. An infinite number of solutions. Consistent and dependent.
