Answer:

Step-by-step explanation:
From C-A, it goes from y=1 to y=5, so that 4 units
From A-B, it goes from x = -1 to x = 4, that is 5 units
Now, to find distance from B to C, we need to use the distance formula:

Where the variables are the respective points of B and C,
B (4,5) & C(-1,1)
So x_1 =4, y_1=5, x_2=-1, y_2=1
Plugging into the formula we get:

Summing it all (perimeter is sum of 3 sides):
Distance = 
3rd answer choice is right.
Answer:
x < 27
Step-by-step explanation:
x + 16 < 43
move the constant to the right-hand side and change its sign
x < 43 - 16
subtract the numbers
x < 27
~~~~~~~~~~~~~~~~~~
X < 27
alternative form
X ∈ ( - ∞ , 27 ) , { x | x < 27 }
Answer:
36pi
Step-by-step explanation:
the volume of a sphere is equal to 4/3 x pi x r^3
the radius is half of the diameter
3^3=27
27x4/3=36
36pi
To find the slope of a line, we can use the following formula:

m-term stands for slope or gradient. The formula is useful whenever you want to find a slope of two points.
Let these be the following:

Substitute the points in formula:

Negative multiply negative always come out as positive.

Since m stands for slope, we can say that:

Answer:

Step-by-step explanation:
h(x)=-4(x-3)(x-1) Copy the original equation
Factor out the two parentheses
Distribute the -4
If this answer is correct, please make me Brainliest!