Answer:
56.52in
Step-by-step explanation:
Answer:
g(x) = (-1/25)x + (203/25)
Step-by-step explanation:
The general equation for a line is slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
We know that perpendicular lines have opposite-signed, reciprocal slopes of the original line. Therefore, if the slope of f(x) is m = 25, the slope of g(x) must be m = (-1/25).
To find the y-intercept, we can use the newfound slope and the values from the given point to isolate "b".
g(x) = mx + b <----- General equation
g(x) = (-1/25)x + b <----- Plug (-1/25) in "m"
8 = (-1/25)(3) + b <----- Plug in "x" and "y" from point
8 = (-3/25) + b <----- Multiply (1/25) and 3
200/25 = (-3/25) + b <----- Covert 8 to a fraction
203/25 = b <----- Add (3/25) to both sides
Now that we know both the values of the slope and y-intercept, we can construct the equation of g(x).
g(x) = (-1/25)x + (203/25)
Answer:
FG = 9.7ft
Step-by-step explanation:
Find the diagram in the attachment.
The diagram is a right angled triangle since one of its angle is 90°
Using SOH CAH TOA to calculate the length FG which is the hypotenuse.
According to SOH
Sin∠G = Opposite/Hypotenuse
To get the ∠G,
∠F+∠H+∠G = 180°
18°+90°+∠G = 180°
∠G = 180°-108°
∠G = 72°
Sin72° = 9.2/FG
FG = 9.2/sin72°
FG = 9.67feet
FG = 9.7ft (to the nearest tenth of a foot)
Answer:
The given equation 3x − 7 = 4 + 6 + 4x has one solution.
Step-by-step explanation:
Given : Equation 3x − 7 = 4 + 6 + 4x
We have to find the number of solutions of the given equation.
Consider the given equation 3x − 7 = 4 + 6 + 4x
Simplify, we have,
3x − 7 = 10 + 4x
Now subtract 3x both side, we hvae,
-7 = 10 + 4x - 3x
Simplify, we have,
- 7 = 10 + x
Subtract 10 both side, we have,
-7 - 10 = x
x = - 17
Thus, The given equation 3x − 7 = 4 + 6 + 4x has one solution.
There are 1760 yards in one mile and the rink is 250 yard in perimeter.
This means 3 miles is 5280 yards.
If Sam has already gone around the whole rink 6 times, that means he was traveled a total of 1500 yards.
Sam has 3780 more yards to travel 3 miles.
This means he needs to do 15.12 more laps around the rink. Or 16 if you are rounding.
Hope this helps! :)
