The equation of the line in standard form is x + 4y = 8
<h3>How to determine the line equation?</h3>
From the question, the points are given as
(0, 2) and (8, 0)
To start with, we must calculate the slope of the line
This is calculated using
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (0, 2) and (8, 0)
Substitute the known parameters in Slope = (y₂ - y₁)/(x₂ - x₁)
So, we have
Slope = (0 - 2)/(8 - 0)
Evaluate
Slope = -1/4
The equation of the line can be calculated using as
y - y₁ = m(x + x₁)
Where
(x₁, y₁) = (0, 2)
and
m = slope = -1/4
Substitute the known values in the above equation
So, we have the following equation
y - 2 = -1/4(x - 0)
This gives
y - 2 = -1/4x
Rewrite as
1/4x + y = 2
Multiply by 4
x + 4y = 8
Hence, the line has an equation of x + 4y = 8
Read more about linear equations at
brainly.com/question/4074386
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I won't skup.
We have an eight of a circle has area 9π sq in, so the total circle has area
πr² = 8(9π) = 72π
r² = 72 = 2(36)
r = 6√2 ≈ 8.485281374238571
Answer: A. 8.48 inches
Answer:
b = - 0.432
Step-by-step explanation:
It takes 200 seconds to produce the first widget. And by the 400th widget, it takes only 15 seconds.
Now, the formula that gives the time to make the nth widget is given by
and we have to evaluate the constant b from the above-given conditions.
So, 
⇒ 
Taking log on both sides
b log (400) = log (0.075)
⇒ b = - 0.432 (Answer)
Answer: 4 books
Step-by-step explanation:
x = minimum number of book
Leslee
= 3x (bought 3 times the minimum)
Denise
= x + 7 (bought 7 more than the minimum)
Together
= (3x) + (x + 7)
(3x) + (x + 7) = 23 (books they bought together)
3x + x + 7 = 23
3x + x = 23 - 7 (isolate the like variables together)
4x = 16 (divide both sides by 4)
x = 4
4 is the minimum number of books
To check:
3(4) + (4+7)
12 + 11 = 23
