The equation that represents a line that passed through (2,-1:2) and has a slope of 3 is y = 3x - 18
<h3>How to determine the equation of the line?</h3>
The points are given as:
(x1, y1) = (2, -12)
The slope is given as:
m = 3
The equation of the line is calculated using:
y = m(x - x1) + y1
So, we have:
y = 3(x - 2) - 12
Open the bracket
y = 3x - 6 - 12
Evaluate
y = 3x - 18
Hence, the equation of the line is y = 3x - 18
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The formula for finding the distance between points is √(x-x₁)²+(y-y₁)²
x=0, y=6, x₁=5, y₁=12
√(0-5)²+(6-12)²
√(-5)²+(-6)²
√25+36
√61 is irrational
7.81 points(rounded to nearest hundredth) is the distance between those two points.
Answer:
11494.04cm³
Step-by-step explanation:
Volume of a sphere
V = 4/3πr³
you got a diameter of 28cm, so half of taht is the radius.
r = 14cm
plug in and solve
V = 4/3πr³
= 4/3π(14)³
= 11494.04cm³
Answer: The amount is $14794.39 and the interest is $9794.39
Step-by-step explanation: If you deposit <em><u>$5000</u></em><u> </u>into an account paying <em><u>7.5%</u></em> annual interest compounded yearly , how much money will be in the account after <em><u>15 years</u></em>?
To find amount we use formula:
A-P(1+r/n) n*t
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
P=$5000, r=7.5, n=1 and, t=15 years
After plugging the given information we have
A= $5000 (1+0.075/1)^1.15
A= 5000 *1.075^15
A=14794.39
To find interest we use formula A=P+I'
since A= 14794.39 and P=5000
we have: A=P+I 14794.39=5000+I
I= 14794.39 -5000
I=9794.39
Answer:
12 inches
Step-by-step explanation:
Given
Required
Determine the height of the canvas
The question is illustrated using the attached image.
Using the attachment as a point of reference, the height is calculated from
This gives:
Make h the subject
