The x-value at the point, denoted by d, is 18
<h3>Slope of a line </h3>
From the question, we are to determine the x-value at point B on the line
Given the points (x₁, y₁) and (x₂, y₂) on a line.
The slope, m, of a line with two points (x₁, y₁) and (x₂, y₂) on the line is given by the formula
m = (y₂ - y₁)/(x₂ - x₁)
From the given information,
Point A is (2, 1)
Point B is (d, 81)
That is,
x₁ = 2
y₁ = 1
x₂ = d
y₂ = 81
and
slope, m = 5
Thus,
5 = (81 - 1) / (d - 2)
5 = 80/(d -2)
5(d - 2) = 80
5d - 10 = 80
5d = 80 + 10
5d = 90
d = 90/5
d = 18
Hence, the x-value at the point, denoted by d, is 18
Learn more on Slope of a Line here: brainly.com/question/19012287
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y = - 8x - 18
the equation of a line in ' slope-intercept form ' is
y = mx + c (m is slope and c the y-intercept )
here m = - 8 ⇒ y = - 8x + c
to find c substitute ( - 3 , 6 ) into the equation
6 = 24 + c ⇒ c = 6 - 24 = - 18
y = - 8x - 18 is the equation
Answer:
x = -5 or x = -12
Step-by-step explanation:
x^2+17x+72=12
Subtract 12 from both sides.
x^2+17x+72-12 = 12-12
x^2+17x+60=0
Then factor the left side of the equation
(x+5)(x+12) = 0
Then set the factors equal to 0
(x+5)=0 or (x+12)=0
Therefore x=-5 or -12
9514 1404 393
Answer:
$7.50
Step-by-step explanation:
The monthly interest rate is 3%/12 = 1/4%. The dollar amount of interest earned in 3 months is ...
I = Prt = $1000(0.0025/mo)(3 mo) = $1000(0.0075) = $7.50
Answer:
780 sheets
Step-by-step explanation:
we know that
A machine can shred 65 sheets of paper every 5 seconds
so
using proportion
Find out how many sheets of paper can the machine shred in 60 seconds
