What is asked here is that you isolate y so that the equation takes the form of y = ..., where ... will be something that contains a, b and c but not y. So how do we get there? By applying some standard permutations to equations like so:
aby - b = c
First, we bring the -b term to the right hand side by adding b left and right:
aby -b+b = c+b
The -b and +b cancel out, so we get:
aby = c + b
Then, we divide left and right hand side by ab:
aby/ab = (c+b)/ab
Again, the ab/ab on the left cancels out (it is 1), so we get:
y = (c+b)/ab
And we're done!
So you have to know that it is allowed to add or subtract something (anything) to/from the left and right hand side of an equation. Likewise, you have to know that it is allowed to multiply or divide by something, as long as it isn't 0.
Step-by-step explanation:
1.The formula in finding the area of a circle is derived from the area of a parallelogram. It is false.
2. The area of a circle is πr² where r is the radius of the circle. It is true.
3. The area of a circle is equal to pi divided by the square of the radius. It is false.
4. The diameter of a circle is equal to twice its radius i.e. d = 2r. It is true.
5. If r = 2.1 m
Area of circle, A = πr²
= 3.14 (2.1)²
= 13.85 m²
Henc,e this is the required solution.
<u>Solution for question 1:</u>
Put it in this format:
Solving;
2(²-³) × 10^(15-9)
2^-1 × 10^6 = 1/2 × 10^6
That gives 5 × 10^5
<u>Solution to question 2:</u>
Solving;
2^(1 - 2) × 10^(-5 + 12)
= 1/2 × 10^7
That gives;
5 × 10^6
Answer:
y = ½x + 10
Step-by-step explanation:
Perpendicular lines have OPPOSITE MULTIPLICATIVE INVERSE <em>Rate</em><em> </em><em>of</em><em> </em><em>Changes</em><em> </em>[<em>Slopes</em>], so you need to have a slope of ½, like in the work shown below:
9 = ½[-2] + b
-1
10 = b
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