Answer:
slope = 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 4, 1 ) and (x₂, y₂ ) = (5, 4 )
m =
=
=
= 
Answer:
t = -1
Step-by-step explanation:
8 + 9t - 3 + 4
Combine like terms
(8 - 3 + 4) + 9t
9 + 9t
9t + 9
Get <em>t</em> by itself
9t + 9 = 0
-9 -9
9t = -9
Divide both sides by 9 to find <em>t</em>
t = -1
r ÷ 12 or r/12
<h3>
Further explanation</h3>
Given the word phrase: the quotient of r and 12.
An algebraic expression for it is 
<u>Notes:</u>
The quotient is the ratio of two quantities to be divided or the number obtained by division. Synonyms for the quotient are proportion, ratio, or fractions.
An algebraic expression for the quotient of a and b is 
- 'a' is called a dividend
- 'b' is called a divider
- The quotient is the result derived after dividing the dividend by the divisor.
The quotient, a dividend, and a divisor represent the fundamental components of a division equation.
<u>Another example:</u>
A car requires 10 liters of fuel to travel 60 km. Determine the quotient of the distance of the car with fuel (in km/L).
The quotient (or ratio) is



Consider the same method as follows.



This means that the car can travel a distance of 6 km for every 1 L of fuel.
Kilometers per liter is a unit used to measure fuel economy and we see this as one example of the use of the quotient (or ratio).
<h3>Learn more</h3>
- 10 times as many as (blank) hundreds or 60 hundreds is (blank) thousands brainly.com/question/47704532
- 9 ten thousands divided by 10 in unit form brainly.com/question/4786449
- 100 is 1/10 of what? brainly.com/question/96535
Keywords: write an algebraic expression, for the word phrase, the quotient of r and 12, a dividend, a divisor, components of a division equation
<h2>
The required "option B)
" is correct.</h2>
Step-by-step explanation:
You can refer figure:
brainly.com/question/4386376
To find, the value of x = ?
We know that,
Consecutive angles are supplementary
The diagonals bisect the angles.

Divided by 2 both sides, we get
⇒ 
⇒ 
⇒ 
⇒ 4x = 
⇒ 
⇒ 
∴ The value of x =
Thus, the required "option B)
" is correct.
Answer:
The value 
The answer is No
Step-by-step explanation:
From the question we are told that
The probability a person is a jogger is 
The probability that a person is female given that she jogs is 
Generally the probability that a randomly selected person aged 20 years or older is female and jogs? Would it be unusual to randomly select a person aged 20 years or older who is female and jogs is mathematically represented as

=> 
=> 
Given that the probability is equal to 0.05 then it is not unusual