(-1,1)(1,4)
slope = (4 - 1) / (1 - (-1) = 3/(1 + 1) = 3/2
y = mx + b
slope(m) = 3/2
use either of ur points....(1,4)...x = 1 and y = 4
now sub and find b, the y int
4 = 3/2(1) + b
4 = 3/2 + b
4 - 3/2 = b
8/2 - 3/2 = b
5/2 = b
equation is y = 3/2x + 5/2...but we need it in standard form
y = 3/2x + 5/2
-3/2x + y = 5/2.....multiply both sides by -2
3x - 2y = -5 <==== ur standard form equation
Answer:
The horizontal line
is the asymptote
Step-by-step explanation:
This is an exponential function.
An asymptote is the line a function approaches but never touches.
Here,
is the horizontal line that is asymptote of the function.
<u>Note:</u> <em>Normally, y=0 is the asymptote of a parent exponential function, since this graph is parent function shifted 2 units up, the asymptote becomes y=2</em>
Answer:
A). PR = 16.13 ft
B). QR = 9.64 ft
Step-by-step explanation:
Part (A).
From the figure attached,
ΔPQR is a right triangle,
m(PQ) = 14 ft
m(QR) = 8 ft
By applying Pythagoras theorem,
Hypotenuse² = (Leg 1)² + (Leg 2)²
(PR)² = (PQ)² + (QR)²
(PR)² = (14)² + (8)²
PR = √260
= 16.125
≈ 16.13 ft
Part (B).
If PR = 17 feet
and PQ = 14 feet
By applying Pythagoras theorem in ΔPQR,
PR² = PQ² + QR²
(17)² = (14)² + (QR)²
(QR)² = 289 - 196
QR = √93
= 9.644
≈ 9.64 ft
The expression is:
32 X 20 + x
Hope that will help :)
It's 3/4 because the only factor you can divide them both with is 2 and 3 and 4 have noi factors to divide by to make it lower.