Answer:
Equation of the line: 
.
Step-by-step explanation:
Let 
and 
denote the coordinates of these two points, respectively.
Calculate the slope 
of this line:
.
Notice that the slope is zero because the two points have the same 
-coordinates (
) even though their 
-coordinates are distinct (
.)
Equation for this line in point-slope form:
.
.
Rewrite and simplify to obtain the equation of this line in slope-intercept form:
.
The -term was eliminated because the slope was zero.
Answer:
i think it is y=2x
Step-by-step explanation:
The major advantage of exponential notation is that it simplifies a number into a more readable form, so we don't have to count all the zeros every time we look at it / calculate it. It helps us to identify big numbers as small decimals which we are more familiar with.
Answer:
The total number of whole cups that we can fit in the dispenser is 25
Step-by-step explanation:
It is given that the height of each cup is 20 cm.
But when we stack them one on top of the other, they only add a height of 0.8 to the stack.
The stack of cups has to be put in a dispenser of height 30 cm.
So we need o find out how many cups can fit in the dispenser.
Since the first cup is 20 cm high, the height cannot be reduced. So the space to fit in the remaining cups in the stack is only 30-20 cm as that’s the remaining space in the dispenser
So,
30 - 20 = 10 cm
To stack the other cups we have 10 cm of height remaining
As we know that addition of each adds 0.8 cm to the stack, the total number of cups that can be fit in the dispenser can be calculated by the following equation. Let the number of cups other than the first cup be denoted by ‘x’.
10 + 0.8x = 30
0.8x = 20
x = 25
The total number of cups that we can fit in dispenser is 25
Given parameters:
Coordinates of the points = (3,4) and (19, 16)
Unknown:
The distance between the points = ?
The midpoint = ?
Solution:
The distance between two points can be mathematically solved using;
D = 
where x₁ = 3, x₂ = 19 and y₁ = 4, y₂ = 16
Input the parameters and solve;
D = 
= 20
Midpoint;
The expression is given as;
x
, y = 
, 
input the parameters and solve;
= 
, 
= 11 , 10
The midpoint is (11, 10)
