Answer:
7
Step-by-step explanation:
Use secant-tangent product theorem.
1. Set up the equation
(x-3)(x-3+5) = (x-1)²
2. Solve
(x-3)(x+2) = (x²-2x+1)
(x²-x-6) = (x²-2x+1)
3. Solve for x
Subtract x² from both sides
-x-6 = -2x+1
Add 2x and 6 to both sides
x = 7
The answer is b
work is attached as a pic, in future draw a diagram, it’ll help u understand
The number is -1.
5x+2 = x-2
X=-1
1. Check the picture attached. We can calculate the area of the orange region G by dividing it into right triangles with both legs equal to 1.
Area of one triangle is 1/2*1*1=1/2 units square.
There are 9 in total, so area G = 9/2 units square.
2. The square has side length equal to 10, so the square area is 100 units square.
3. P(landing in G)=Area of G/total area= (9/2)/100=9/200= 0.045
Answer: Choice B) (1/2x, y - 5)
The original transformation T takes some point (x,y) and turns it into (2x, y+5). What's going on with the coordinates? Well x is doubled to 2x while y is having 5 added to it. To get the inverse, we simply undo everything happening to the coordinates. We do the opposite.
Going from x to 2x has us multiply by 2. To backwards, we divide by 2. This is the same as multiplying by 1/2. At this point, the only answer is B. So we could stop here if we wanted. But let's keep going.
To go from y to y+5, we add on 5. Undo this by subtracting 5. So the inverse would be y-5.
That's why the inverse transformation is (1/2x, y-5)