Answer:
2
Step-by-step explanation:
The slope of a line is rise/run.
First, you must choose any two points on the line.
Rise is how many spaces a line moves upward or downward from one point to another.
The run is how many spaces a line moves left or right from one point to another.
It is given that from point M to point N, the line moves up 4 spaces and runs to the right 2 spaces.
- 4 = rise
- 2 = run
- Slope = 4/2, which can be simplified to 2, because 4 divided by 2 is 2.
Answer:
The density of the object is 
grams per cubic centimeter. (Rounded off to 4th decimal)
Step-by-step explanation:
Density = [Mass/Volume]
Here we have been given the dimensions of the object.
Volume = Height * Width * Length
Volume = 
=
Now we can substitute the Mass and the Volume to the density equation.
Density = [Mass/Volume]
=
= grams per cubic centimeter. (Rounded off to 4th decimal)
Answer:
yes
Step-by-step explanation:
because they both are equal.
Answer:
The width of the rectangle=21 inches
Step-by-step explanation:
<em>Step 1: Determine the dimensions of the rectangle</em>
Width=w
Length=l
But;
triple width=length+36
3×w=l+36
3 w=l+36
The length can be expressed as;
l=3 w-36
width=w
length=3 w-36
<em>Step 2: Determine the perimeter of the rectangle</em>
P=2(L+W)
where;
P=perimeter
L=length
W=width
In our case;
P=96 inches
W=w
L=3 w-36
replacing;
2(w+3 w-36)=96
2(4 w-36)=96
8 w-72=96
8 w=96+72=168
8 w=168
w=168/8=21
The width of the rectangle=21 inches
Answer:
Both answers are correct, depending on the angle taken as reference
Step-by-step explanation:
we know that
In a right triangle
The slope ratio of the triangle is equal to the function tangent
The function tangent in a right triangle is equal to the opposite side to the angle divided by the adjacent side to the angle
so
-----> Ben's ratio
and
------> Carlissa's ratio
therefore
The slope will depend on the angle taken as a reference
so
Both answers are correct, depending on the angle taken as reference.
