Answer:
AB = √37
BC = 2√5
AC = √41
Type: SCALENE TRIANGLE
Step-by-step explanation:
Given the coordinates
A(1, –9), B(0, –3), C(–4, –5)
We are to find the length of each sides first. Using the formula for calculating the distance between two points, we will have;
For A(1, –9) and B(0, –3)
AB = √(-3+9)²+(0-1)²
AB = √6²+(-1)²
AB = √36+1
AB = √37
For coordinates B(0, –3) and C(–4, –5)
BC = √(-5+3)²+(-4-0)²
BC= √(-2)²+(-4)²
BC = √4+16
BC = √20
BC = 2√5
For coordinates A(1, –9), C(–4, –5)
AC = √(-5+9)²+(-4-1)²
AC= √(4)²+(-5)²
AC = √16+25
AC = √41
<em>Since the sides of the triangles are all different, hence the triangle is a SCALENE triangle</em>
Answer:
therws this random chart from the internet, I think that's what they want, but not sure
Lets solve the equalities first.
NP>MN
Cancel out the N
P>M
Next
MP<MN
Cancel out the M
P<N
M<P<N
The answer is C.
We will take one given at a time, the common place is "Detroit", so we will take it as a reference.
1- Detroit is colder than Boston, this means that:
Temperature in Detroit < Temperature in Boston .........> I
2- Detroit is warmer that <span>Minneapolis, this means that:
Temperature is </span><span>Minneapolis < Temperature in Detroit .........> II
From I and II, we can conclude that:
</span><span>Minneapolis has the lowest temperature, followed by Detroit and then Boston.
Comparing this to the choices, we will find that the correct choice is:
</span><span>2. Minneapolis's temperature < Detroit's temperature < Boston's temperature</span>