Answer:
.
Step-by-step explanation:
Distance formula : Distance between points (a,b) and (c,d) is given by :-

Distance between points
.

Hence, the correct option is
.
We know from Euclidean Geometry and the properties of a centroid that GC=2GM. Now GM=sin60*GA=

. Hence CM=GC+GM=3*

. Now, since GM is normal to AB, we have by the pythagoeran theorem that:

Hence, we calculate from this that AC^2= 28, hence AC=2*

=BC. Thus, the perimeter of the triangle is 2+4*

.
Answer:
(0, 1)
(-1, -1)
(1,3)
Step-by-step explanation:
Given the function;
y = 2x + 1
when x = 0
y = 2(0)+1
y = 1
Hence the required pair is (0, 1)
when x = -1
y = 2(-1) + 1
y = -2 + 1
y = -1
Hence the coordinate is (-1, -1)
when x = 1
y = 2(1) + 1
y = 2 + 1
y =3
Hence the coordinate is (1, 3)
Answer:
17.1 degrees
Step-by-step explanation:
This is a tangent question because angle XYZ is adjacent to 13 and opposite of 4. This means that we will have to use opposite/adjacent. This is very simple if you know the formula. Just plug those numbers in to get 4/13 = 0.3076923076923077. However, now we need to find it in degrees. If you have an inverse calculator near you, you would plug it in to get about 17.10, which rounds to 17.1.