Answer:
2a: (c)
5o: (1, 3) and (1,1)
3a: (b)
1a: (d)
4o: (b)
Step-by-step explanation:
2a: the equation of a circle circumference needs to be transformable to the form 
where 
is the center and <em>r</em> is the radius. (a) and (d) can’t be it because they contain non-zero factors on <em>xy</em>. (b) isn’t an equation.
5o: just put the given (<em>x</em>, <em>y</em>) into the equations and see if it holds. (2, 3) isn’t on the circumference of (1) because 
, (3, 1) isn’t on it either because 
.
3a: calculate the value of the left-hand side term of the equation using (<em>x</em>, <em>y</em>) from the given point <em>M</em>. That’s the difference of square distance to the center to the square radius 
. Thus it’s 0 if the point is on the circumference, negative if inside and positive if outside. You get 
, positive, so it’s outside the circle.
1a: see definition from 2a. Here, 
.
4o: insert the y from the straight line equation (r) (which can be equivalently transformed to 
) into the circumference equation. If it yields no solution, that’s outside, it there’s exactly one solution, that’s a tangent and if there are two solutions, it’s a secant. 
There are two solutions, so it’s a secant.
Hi!
[1] -3x-7y=8
[2] 3x-2y=-44
lets take [1]
-3x-7y=8
-7y=8+3x
-7y-8=3x
3x=-7y-8
No use 3x=-7y-8 and put it in 3x-2y=-44
-7y-8-2y=-44
-9y-8=-44
-9y=-36
9y=36
y=4
then use y in 3x-2y=-44
3x-2(4)=-44
3x-8=-44
3x=-36
x=-12
Therefore, y = 4 and x = -12
Answer:
CP = Rs 500
Step-by-step explanation:
Given that,
Selling price of a book, SP = Rs 550
Profit percent = 10%
We need to find the cost price of the book. The formula for profit percent is given by :
So, the cost price of the book is Rs 500.
Answer: Yes he does.
Step-by-step explanation:
The shirt costs £9.60 and is on discount by 1/3.
1/3 = 0.3333
The discounted price is therefore:
= 9.60 * (1 - 0.3333)
= £6.43
The price of two shirts is:
= 6.43 + 6.43
= £12.86
Billy has £13 which is above the price of two so he will be able to buy 2 shirts.
They are proportional because as one goes up, so does the other.
