http://www.mathopenref.com/coordgeneralellipse.html
If the centre is (0,0)
Let the end of the horizontal axis is A(5,0)
The foci is $$S_1(3,0)$$
If you sketch this it is easy to see that the other foci is $$S_2(-3,0)$$
Let the point B(0,b) be the end of the vertical axis.
NOW
$$\\S_1B=BS_2
S_1A+AS_2\;\; must\; \;equal \;\; S_1B+BS_2\\\\
2+8=S_1B+BS_2\\\\
10=5+5\\\\
so\\\\
B(0,4)\\\\
$equation of the ellipse$\\\\
\frac{x^2}{5^2}+\frac{y^2}{4^2}=1\\\\
\frac{x^2}{25}+\frac{y^2}{16}=1$$
All of the topics above are what I've been learning for the past year so, that will be in the exam.
1.PLACE VALUE AND POWERS OF 10: Seems like an easy thing to do.
2. ROUNDING AND ESTIMATION:Rounding I know, but sometimes i need to catch up on it.
3.ADDING AND SUBTRACTING DECIMAL: Is easy
4.MEANTAL CALCULATION: I can do it.
5. WRITTEN CALCULATIONS OF POSITIVE AND WHOLE NUMBER: Yep.
6. FACTORS MULTIPLES ND PRIMES:I can do it.
7. PROPORTIONAL REASONING: (I had an idea of what that was but now i know) I can do that.
http://teachmath.openschoolnetwork.ca/grade-6/proportional-reasoning/
8. MORE CALCULATIONS: Ehh... I always mess up with Negatives!
9.INTRODUCTION TO ALGEBRA: I can do that.
10. SOLVING EQUATIONS: I can do that.
11. ANGLES: Partially, I know it but it's not polished.
12. PROPERTIES OF SHAPES: I hate shapes, i don't understand how to find things like the volume and surface area of a 3d shape and others.
13. FRACTIONS: I can do it.
14. PERCENTAGE: Yes
2,8, 11, 12 Is what I'm struggling.