Answer:
y = (4/3)x - 50
Step-by-step explanation:
Step 1 :
Identify the independent and dependent variables.
The independent variable (x) is the square footage of floor space.
The dependent variable (y) is the monthly rent.
Step 2 :
Write the information given in the problem as ordered pairs.
The rent for 600 square feet of floor space is $750 :
(600, 750)
The rent for 900 square feet of floor space is $1150 :
(900, 1150)
Step 3 :
Find the slope.
m = (y₂ - y₁) / (x₂ - x₁)
Substitute (600, 750) for (x₁, y₁) and (900, 1150) for (x₂, y₂).
m = (1150 - 750) / (900 - 600)
m = 400 / 300
m = 4/3
Step 4 :
Find the y-intercept.
Use the slope 4/3 and one of the ordered pairs (600, 750).
Slope-intercept form :
y = mx + b
Plug m = 4/3, x = 600 and y = 750.
750 = (4/3)(600) + b
750 = (4)(200) + b
750 = 800 + b
-50 = b
Step 5 :
Substitute the slope and y-intercept.
Slope-intercept form
y = mx + b
Plug m = 4/3 and b = -50
y = (4/3)x + (-50)
y = (4/3)x - 50
Answer:
12m + 12 is one equivalent expression
Step-by-step explanation:
This can be found by distributing the numbers as shown below:
6(m + 2 + m)
6m + 12 + 6m
12m + 12
Answer:
B. The statement is false. This is true only if θ is an acute angle in a right triangle.
Step-by-step explanation:
Trigonometric ratio formula can only be applied to define the relationship between the angles of a right triangle and its side lengths.
Therefore, it is impossible to define or find the tan θ of "any triangle". It only applies to right angled triangles.
In the case of a right triangle, given a reference angle, θ, tan θ = side lenght opposite to θ ÷ side lenght adjacent to θ (tan θ = 
.
A right triangle has two acute angles and 1 right angle that which is 90°.
Therefore, we can conclude that:
"B. The statement is false. This is true only if θ is an acute angle in a right triangle."
Answer:
Math-way! Its a great website for math and explanations!!
Step-by-step explanation:
4.6 :)
( 0.1 hundreds, 0.01 thousands, etc.)
