-1/2
To find the slope of the line between two points, we use the equation (y2-y1)/(x2-x1)
Substitute the values given for the xs and ys:
(7-5)/(-1-3)
2/(-4)
simplify: -1/2
The axis of symmetry of g(x) is 2 units right side from the origin then the function is
. Then the correct option is A.
<h3>What is a function?</h3>
The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
Given
The function f(x) is
.
The axis of symmetry of f(x) is left side by 3 units.
The axis of symmetry of g(x) is 5 units to the right of f(x).
Then the axis of symmetry of g(x) is 2 units right side from the origin.
Then the g(x) will be

Thus, the correct option is A.
More about the function link is given below.
brainly.com/question/14674614
First write the equation 8 + 12 > x because according to the triangle property, the sum of any 2 sides have to be greater than the third side. This means that the difference of any two sides should be smaller than the third side.
So, the answer would be 4 < x < 20.
By using the Pythagoras theorem, the length of the ladder will be 13.6 feet.
<h3>What is a Pythagoras theorem?</h3>
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
Jennifer needs to use a ladder to clean a second-floor window on a building.
If the window is 13 ft above the ground and the base of the ladder is 4 ft from the building.
Then the length of the ladder will be
H² = 13² + 4²
H² = 169 + 16
H² = 185
H = 13.6 ft
More about the Pythagoras theorem link is given below.
brainly.com/question/343682
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let
r--------> Alvin's average paddling rate in km/hour
y -------> speed of the current
in km/hour
we know that
speed= distance/time
------> solve for distance
distance=speed*time
to Campsite against the current
speed=r-y-----> speed=(r-3)
time=8 hours
distance=(r-3)*8------> equation 2
From Campsite with the current
speed=r+y-----> speed=(r+3)
time=3 hours
distance=(r+3)*3------> equation 1
equate equation 1 and equation 2-----> because is the same distance
(r+3)*3=(r-3)*8----> 3r+9=8r-24----> 8r-3r=24+9-----> 5r=33----> r=6.6 km/hour
therefore
the answer is
Alvin's average paddling rate is 6.6 km/hour