First, write an equation system based on the problem
An equation for "the perimeter of a rectangle is 70 in" can be written as following
∴ 2l + 2w = 70 <em>(first equation)</em>
An equation for "the length is 11 in more than its width" can be written as following
∴ l = w + 11 <em>(second equation)</em>
Second, solve the equation by substitution method o find the dimension of the rectangle.
Substitute/plug l as (w+11) into the first equation
2l + 2w = 70
2(w + 11) + 2w = 70
2w + 22 + 2w = 70
4w + 22 = 70
4w = 70 - 22
4w = 48
w = 48/4
w = 12
The width of the rectangle is 12 in
Substitute w with 12 to the second equation
l = w + 11
l = 12 + 11
l = 23
The length of the rectangle is 23 in
Third, find the area of the rectangle
a = l × w
a = 23 × 12
a = 276
The area of the rectangle is 276 in²
Answer:
y=3x+4
Step-by-step explanation:
Answer: 30 dollars in total
Step-by-step explanation: first multiply 15 times 0.75 which is 11.25 then multiply 15 times 1.25 which is 18.75 if you add these two numbers together you get 30 dollars which is the total amount spent.
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Answer:
6.67 miles per hour
Step-by-step explanation: Im 97.99% sure this is right!! :)
Answer:
y = -
x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (- 9, 6)
m =
=
= -
, hence
y = -
x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 9, 6), then
6 = 3 + c ⇒ c = 6 - 3 = 3
y = -
x + 3 ← in slope- intercept form