Answer:
Area of triangle = 15 square units
Step-by-step explanation:
We need to find area of the triangle, given the vertices:
A=(4,0)
B=(1,5)
C=(7,5)
The formula used is: 
We have: 
Putting values and finding area
We will be ignoring negative sign, because area of triangle is positive.
So, Area of triangle = 15
Answer:
153.86 square feet
Step-by-step explanation:
The formula for the area of a circle is A=πr2
area = pi x radius squared
the radius is 7 feet, square that to get 49
multiply 49 by pi to get the area: 153.86 square feet
Answer:
Yes, the function is a kernel
Step-by-step explanation:
Given
Document x an z
Function definition! k(x:z)
We want to show that the above is a kernel.
To do this, we'll explicitly construct feature vectors φ(x) and φ(z)
This gives;
K(x,z) =φ(x)·φ(z).
Given than any document; say x and z
A vocabulary V can be constructed.
Vocabulary V must have a finite size of words in the document set..
The feature mapping is constructed as φ(x) for x by the following:
For the kth word wk in V, if wk appears in document x, assign φ(x) k(the kth element ofφ(x)) to be 1; else φ(x)k to 0.
Then the number of unique words common in x and z is φ(x)·φ(z), giving us the kernel
.
Answer:
y=7
Step-by-step explanation:
The two given angels are congruent so they must be equal in measure.
Set them up equal and find y.
8y = 5y + 21, subtract 5y from both sides
8y -5y = 21, combine like terms
3y = 21, divide both sides by 3
y = 7
