Y= kx+b, k-slope, b-intercept
so
2=k*1+b
7=k*2+b
12=k*3+b
17=k*4+b
solve these two equation:
2=k*1+b
7=k*2+b
second minus first is 7-2=2k-k+b-b
5=k,
so we know k=5
put this in any equation 2=5*1+b
b=2-5
b=-3
check this in
12=5*3-3 - right
17=5*4-3 - right
Answer: y=5x-3
Answer:
(x, y) ⇒ (2x, 2y)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Dilation is the increase or decrease in size of a figure. If a figure with point A(x, y) is dilated by a scale factor of k, the new location is at A'(kx, ky). If k > 1, it is an enlargement and if k < 1, it is a reduction.
Given that the inner circle has a radius of 1 r and the outer one has a radius of 2 r. To map the inner circle onto the outer circle, the inner circle would need to be enlarged. The scale factor is:
k = outer circle radius / inner circle radius = 2r / 1r = 2
A dilation with a scale factor of 2 would be needed to map the inner circle onto the outer circle.
That is:
(x, y) ⇒ (kx, ky)
Answer: A, 63 minutes
Step-by-step explanation:
We can start by making this into two ratios. Isa finished 30% in 27 minutes, so 30/27 is our first ratio. We want to know how long it will take for the rest of the homework to be completed. 30% is finished already, which leaves 70% (100-30=70). The time left is x. Our second ratio is 70/x. Now, we can set the two ratios equal to each other to solve for x.
We can now cross multiply.
Now, we simplify the right side.
Divide both sides by 30 to isolate x.
And there's your answer! Hope this helped!
Experimental probability of the name Alex being drawn is 4/10
This is because out of the ten times a name was drawn, Alex was drawn four times.
If the experiment was repeated 1,000 times, Ella's name could be expected to be drawn 200 times.
This is because of the ten names drawn, Ella's name was drawn twice which is 20% and 20% of 1,000 is 200.
