ACTIVITY 2 Continued
1 answer:
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Transposing the equation to give zero on the RHS:
Since we can't factorise it directly, we must complete the square to yield any solutions:
x = 4 +/-
x = 4 +/-
Correct me if I'm wrong anyone.
Graphing questions are more difficult to answer without uploading images.You could use technology (a graphics calculator or graphics packages available on the Internet) to do the graphing for you.
Here's a graph using an Internet software (note the colour coding).You will notice that y=2.5^x (blue) grows faster that y=2.0^x (red), and that y=0.2^x (orange) decays faster than y=0.5^x (green).
The graphs show that they all pass through (0,1). After that, you will see that the blue line rises above the red line for x>0, meaning that 2.5^x grows faster than 2.0^x. Similarly, you will note that y=0.2^x (orange) goes below (for x>0) the curve for y=0.5^x (green), meaning that 0.2^x decays faster.
Here's a graph using an Internet software (note the colour coding).You will notice that y=2.5^x (blue) grows faster that y=2.0^x (red), and that y=0.2^x (orange) decays faster than y=0.5^x (green).
The graphs show that they all pass through (0,1). After that, you will see that the blue line rises above the red line for x>0, meaning that 2.5^x grows faster than 2.0^x. Similarly, you will note that y=0.2^x (orange) goes below (for x>0) the curve for y=0.5^x (green), meaning that 0.2^x decays faster.
Squares 1 and 2 have the same area because they're both (a+b) on a side.
Each of these squares is covered by four identical right triangle tiles, legs a,b, hypotenuse c.
In the first picture we see the uncovered part of the square, not covered by triangular tiles, is two squares, area .
In the second picture the uncovered part of the square is a smaller square, area .
We just moved the tiles around on the square, so the uncovered part is the same in both cases. So
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The rectangular prism has a bottom rectangular base 6 by 8. So the diagonal is .
The diagonal and the 7 cm side make a right triangle whose hypotenuse is the diagonal of the rectangular prism we seek.
Answer: √149