Option D: The distance between the two points is 13 units
Explanation:
It is given that the two points are 
and 
We need to determine the distance between the two points.
It is also given that the distance between the two points can be determined using the formula,
Substituting the points and for the coordinates 
and 
Thus, we get,
Simplifying, we have,
Adding the terms, we get,
Squaring the terms, we have,
Adding the terms, we get,
Simplifying and rounding off the value to the nearest tenth, we have,
Hence, the distance between the two points is 13 units.
Therefore, Option D is the correct answer.
Answer:
The 3D figure formed is a <u>Cuboid</u><u>.</u>
In order to find the scale factor we begin by selecting one pair of corresponding sides.
Selecting the base of the triangle
Base of triangle AC is 3 units.
Base of triangle (AC)' is 7.5 units
According to the proportion
REPLACE TH
Answer:
x=4
Step-by-step explanation:
In order to solve for x, we must isolate x on one side of the equation.
x+3x+5=21
First, combine like terms. x and 3x are both terms with variables, and can be combined.
(x+3x) + 5=21
4x + 5=21
5 is being added to 4x. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.
4x+5-5= 21-5
4x= 16
x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.
4x/4=16/4
x= 16/4
x=4
Let's check our solution. Plug 4 in for x and solve.
x+3x+5=21
4+3(4)+5=21
4+12+5=21
16+5=21
21=21
This solution checks out, so we know our answer is correct.
x is equal to 4, x=4.
Answer:
The required probability is, 
Step-by-step explanation:
Of 24 employees at a local supermarket, 13 work as cashiers and 11 stock shelves. If 4 employees are selected at random to work overtime, then
P( all 4 are cashiers) = 
