Answer:
Step-by-step explanation:
4. the algebraic representation of the translation is
x+9 and y -4
because for example point (-3, 9) become ( -3+9= 6, 9-4=5)
5.
7 to the left means -7 on the x coordinate and
6 up means +6 on the y coordinate
( x, y ) after translation is ( x-7, y+6)
(12, 3) becomes (12-7= 5, 3+6=9)
(14, 6) becomes (14-7=7, 6+6=12)
(8, 4) becomes(8-7= 1, 4+6=10)
As you can see, 4 of the 24 students don't partecipate in any activity. This clearly implies a ratio of 4:24, or 1:6.
We could infer that this ratio holds for the whole school, or even for all the boys and girls of that age.
That's the point of surveys and inferring: you gather data about a relatively small group, and then assume that the proportions you have are valid for a much larger group.
That's why it is important that the group that you survey is balanced and unbiased.
Hi!
The point where the three altitudes of a triangle intersect is called the orthocenter.
Altitudes are lines which pass through the the vertex of a triangle, and bisect the other side.
There are three other points like an orthocenter; an incenter, a circumcenter, and a centroid. They're where the angle bisectors, the perpendicular bisectors, and the medians of a circle intersect, respectively.
Hope this helped!
Answer:
(10,4)
Step-by-step explanation:
5 would change to 10 and 4 would stay
(I'm going to translate y' to dy/dx as it makes it easier to read for me, you could change it back if you wanted.)
(separate the variables)
(by letting c = ln k and using log laws)
(raise everything to power e)
(applying boundary conditions)
Particular solution:
