Answer:
the constant of proportionality would be 9
Answer:
46 and 277
Step-by-step explanation:
Given
f(x) = 
- 8x - 11 ← substitute x = 3, x = - 4 into f(x)
f(3) = 
- 8(3) - 11 = 81 - 24 - 11 = 81 - 35 = 46
f(- 4) = 
- 8(- 4) - 11 = 256 + 32 - 11 = 288 - 11 = 277
Answer:
The properties of right angle triangle are as follows
- the hypotenuse is the longest side
- one angle is 90 degree then other angle will be also 90 degree.
Answer:
y = (1/3)x + 7
Step-by-step explanation:
The general structure form of a line in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
The slope of a perpendicular line is the opposite-signed, reciprocal of the original line's slope. Therefore, if the slope of the original line is m = -3, the new slope is m = 1/3.
The y-intercept can be found by plugging the new slope and the values from the point (-3, 6) into the slope-intercept form equation.
m = 1/3
x = -3
y = 6
y = mx + b <----- Slope-intercept form
6 = (-3)(1/3) + b <----- Insert values
6 = -1 + b <----- Multiply -3 and 1/3
7 = b <----- Add 1 to both sides
Now, that you have the slope and y-intercept, you can construct the equation of the perpendicular line.
y = (1/3)x + 7
F(x)=(x-8)/7
<span>g(x) = 7x + 8
</span>g(f(x))-------------- > 7*((x-8)/7)+8----------- >x-8+8=x
the answer is x
