4-4=0
16-6-10=0
17-3-4-10=0
1-2+1=0
Hope that helps!
Answer:
y = 2x - 18
Step-by-step explanation:
There are lots of different methods to do these types of questions, but this is the way i like to do it.
Coordinate (x1, y1) : (4, -10) and Gradient (m): 2
Start with this generic equation:
y- y1 = m(x-x1)
Substitute in the values they have given you:
y - (-10) = 2(x-4)
This becomes:
y + 10 = 2x - 8
Keep solving by moving the 10 over to the other side:
y = 2x -8-10
y = 2x - 18
<u>An easy way to double check:</u>
1) the coefficient of x is the slope. We got 2x, and the slope is 2, so that's correct.
2) Substitute x=4 into the equation, and we get -10, which is the exact coordinate that they gave us. This is also right.
Hope this helped : )
Answer:
Step-by-step explanation:
A knitter wants to make a rug for a dollhouse. The length of the rug will be 2 inches more than it's width. Let the width of the rug be represented by w. This means that the length of the rug will be w + 2
The total area of the rug (in square inches ) based on the width W of the rug (in inches ) is given by
A(w) = w (2+w)
If the desired area of the rug is 15 square inches,,the width will be determined by substituting 15 for A(w). It becomes
15 = w^2 + 2w
w^2 + 2w - 15 = 0
w^2 + 5w - 3w - 15 = 0
w(w+5) -3(w+5)
w - 3 = 0 or w+ 5 = 0
w = 3 or w = -5
w cannot be negative. So w = 3 inches
The answer is 1 3/4 or 1.75 depends on how u want it
