Answer:
x = k - 3
Step-by-step explanation:
Given parameters:
Gradient of the line = 5;
Coordinates; M(x, 8)
N(k, 23)
Solution:
If we use the expression for finding the slope of the line, we can solve this problem;
Slope = 
where
x₁ = x y₁ = 8
x₂ = k y₂ = 23
Input the parameters:
5 = 
15 = 5(k - x)
3= k- x
k - x = 3
Express x in terms of k;
-x = 3 - k
Multiply through by -1;
x = -3 + k
x = k - 3
Answer:
Option D: 6x-14 is the correct answer.
Step-by-step explanation:
Given that:
Length of the box = L = 2x-2
Width of the box = W = x-5
Perimeter is defined by the sum of length of all sides of the box.
Perimeter of the box = P = 2L + 2W
Perimeter of box = 2(2x-2) + 2(x-5)
Perimeter = 4x-4+2x-10
Perimeter = 6x-14
The perimeter of the box is 6x-14.
Hence,
Option D: 6x-14 is the correct answer.
Answer:
The fourth one
Step-by-step explanation:
Surface area of a cylinder: 
where r = radius and h = height
We have a given height of 14cm and a given diameter of 6cm
We need the radius, not the diameter
To convert diameter to radius we simply divide by 2
6 / 2 = 3
so R = 3
We now plug in the given values into the formula

This equation matches with answer choice D
To answer your question the choice is use "and"
The answer to this in simpler form is 2/5