The coordinates of the vertices of
are
,
and
, respectively.
Vectorially speaking, a point is translated to another location on Cartesian plane by means of this expression:
(1)
Where:
- Original point.
- Translated point.
- Translation vector.
If we know that
,
,
and 
, then the coordinates of the vertices of the triangle
are:









The coordinates of the vertices of
are
,
and
, respectively.
We kindly invite to see this question on translations: brainly.com/question/17485121
Answer:
z-score for value 560 = 0.6
z-score for value 650 = 1.5
z-score for value 500 = 0
z-score for value 450 = -0.5
z-score for value 300 = -2
Step-by-step explanation:
We are given a sample with a mean of 500 and a standard deviation of 100.
i.e.,
= 500 and
= 100
The z score distribution is given by;
Z =
~ N(0,1)
where X represents the data values;
- So, z score for value 560 is;
z score =
= 0.6
- So, z score for value 650 is;
z score =
= 1.5
- So, z score for value 500 is;
z score =
= 0
- So, z score for value 450 is;
z score =
= -0.5
- So, z score for value 300 is;
z score =
= -2
Answer:

Step-by-step explanation:
So when you have a quadratic equation it can usually be expressed as:
where b and x are the roots of the equation. Since it's just asking for a function whose zeroes are 12 and 1, I'm assuming it doesn't care about the stretch/compression (value of a determines that), so I'll just assume a=1. if 12 and 1 are zeroes, that means it makes one of the factors equal to 0 because is x-b = 0 then no matter the value of x-c the value of y is 0 because 0 * (x-c) will be 0. So the equation becomes
plugging in 12 or 1 as x will make one of the factors 0 thus making f(x) equal to 0
Answer:
a equals to 24 or 10
Step-by-step explanation:
those remained sides always interchange