Subtracting the second equation by 18 on both sides, we have xy=-18. Next, we divide both sides by x to get y=-18/x Plugging that into the first equation, we have x+2(-18/x)=9. Multiplying both sides by x, we get x^2-36=9x. After that, we subtract both sides by 9x to get x^2-9x-36=0. Finding 2 numbers that add up to -9 but multiply to -36, we do a bit of guess and check to find the answers to be -12 and 3. Factoring it, we get
x^2-12x+3x-36=x(x-12)+3(x-12)=(x+3)(x-12). To find the x values, we have to find out when 0=(x+3)(x-12). This is simple as when you multiply 0 with anything, it is 0. Therefore, x=-3 and 12. Plugging those into x=-18/y, we get x=-18/y and by multiplying y to both sides, we get xy=-18 and then we can divide both sides by x to get -18/x=y. Plugging -3 in, we get -18/-3=6 and by plugging 12 in we get -18/12=-1.5. Therefore, our points are (-3,6) and (12, -1.5)
Answer:
Step-by-step explanation:
The point-slope form of an equation of a line:
m - slope
Parallel lines have the same slope.
We have the equation in the slope-intercept form (y = mx + b)
Put to the point-slope equation value of the slope and the coordinates of the point (4, -5):
Answer:
£17.20
Step-by-step explanation:
A clothes shop has some special offers. ?
The normal price of a T-shirt is £7.40 The normal price of a jumper is £9.80.
T-shirts are buy one get one free Jumpers are 3 for 2.
How much does it cost to get 5 jumpers and 2 T-shirts using this offer as appropriate?
The cost of 2 T-shirts since it is a buy 1 get 1 free => £7.40
The cost of 5 jumpers =
You buy 3 Jumpers ,you get 2 jumpers free => £9.80
The total cost = £7.40 + £9.80
= £17.20
<u>Part A</u>
<u />
So, the x-intercepts are 
<u>Part B</u>
The vertex will be a minimum because the coefficient of 
is positive.
The x-coordinate of the vertex is 
Substituting this back into the function, we get 
So, the coordinates of the vertex are 
<u>Part C</u>
Plot the vertex and the x-intercepts and draw a parabola that passes through these three points.
The graph is shown in the attached image.
Its 23, you do the times first then add.
3x5=15
15+8=23
