Answer:
![\huge\boxed{y-4=8(x+6)}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7By-4%3D8%28x%2B6%29%7D)
Step-by-step explanation:
The equation of a line in the point-slope form:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
![m-slope\\\\(x_1;\ y_1)-point](https://tex.z-dn.net/?f=m-slope%5C%5C%5C%5C%28x_1%3B%5C%20y_1%29-point)
We have:
![m=8\\\\(-6;\ 4)\to x_1=-6;\ y_1=4](https://tex.z-dn.net/?f=m%3D8%5C%5C%5C%5C%28-6%3B%5C%204%29%5Cto%20x_1%3D-6%3B%5C%20y_1%3D4)
Substitute:
![y-4=8(x-(-6))\\\\y-4=8(x+6)](https://tex.z-dn.net/?f=y-4%3D8%28x-%28-6%29%29%5C%5C%5C%5Cy-4%3D8%28x%2B6%29)
Answer: ![\dfrac{1}{8}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B8%7D)
Step-by-step explanation:
The total outcomes of tossing a coin = 2
The total number of possible outcomes of flipping coin three times =2 x 2 x 2 = 8
Favorable outcome= (Head, tail, Head) in order
i.e. Number of Favorable outcomes = 1
We know that , Probability = ![\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BFavorable%20outcomes%7D%7D%7B%5Ctext%7BTotal%20outcomes%7D%7D)
Therefore , The required probability ![=\dfrac{1}{8}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B8%7D)
Hence , the probability she gets (Head, tail, Head) in that order![=\dfrac{1}{8}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B8%7D)
function notation is the way a function is written. It is meant to be a precise way of giving information about the function without a rather lengthy written explanation.
Answer:
i believe it would be 12
hope this helps !!
Step-by-step explanation:
96 divided by 8 would equal 12 so therefore the answer is 12
Answer:
(i) 22.5
(ii) 7.2
Step-by-step explanation:
(i)
AB:PQ = 2:5 = 1:2.5
So PQ is 2.5 times longer than AB.
PQ=2.5AB=(2.5)9=22.5
(ii):
Since the triangles are similar, their sides are in ratio to each other. So if PQ was 2.5 times longer than AB, QR must also be 2.5 times longer than BC:
QR=2.5BC
BC=QR/2.5=18/2.5=7.2