First you need to find the slope of the line using the given coordinates of the two points.
The slope of the line = (1-4)/(4-3) = -3
Then you choose one pair of the coordinates given, either (3,4) or (4,1) , up to you, to find the equation of the line.
If you choose (3,4)
Then
(y-4)/(x-3) = -3
(y-4) = -3x+9
y = -3x+13
If you choose (4,1),
Then
(y-1)/(x-4) = -3
y-1 = -3x+12
y = -3x+13
So, F(x)=-3x+13
Answer:
<h2>YES THEY ARE CORRECT ✅</h2>
<h3>Good luck ✅</h3>
None of them do :/ you must have typed something wrong. Message me and maybe I can help further!
Answer:
3log2+log3+logx
Step-by-step explanation:
log8(3x) can be written as log(8•3x)
Log laws says that log(ab)=log(a)+log(b)
So log (8•3•x)=log8+log3+logx
log8 can be written into prime factorization of log(2^3) and by more log laws that can be written as 3log2
Answer: a) + = 1
b) The distance of two foci is 85.4 feet
c) Area = 3502.67 square feet
Step-by-step explanation: a) An ellipse has the equation in the form of:
+ = 1, where a is the horizontal axis and b is the vertical axis.
For the Statuary Hall, a = = 48.5 and b = = 23, so the equation will be
+ = 1.
b) To determine the distance of the foci, we have to calculate 2c, where c is the distance between one focus and the center of the ellipse. To find c, as a, b and c create a triangle with a as hypotenuse:
=
c =
c = 42.7
The distance is 2c, so 2·42.7 = 85.4 feet.
The two foci are 85.4 feet apart.
c)The area of an ellipse is given by:
A = a.b.π
A = 48.5 · 23 · 3.14
A = 3502.67 ft²
The area of the floor room is 3502.67ft².