Answer:
To get the slope (which we'll call n) of a line perpendicular to another line with slope (a/b), use
Then we just plug in the point we want to cross and solve for the constant.
Step-by-step explanation:
we see that m =
so,
now we have the equation
plugging in (6, -4) we get
This gives us our function
Answer: OPTION C
Step-by-step explanation:
2. The parent function of a linear function is the simplest form of a linear function and this is:
f(x)=x. Because from this function we can make transformations that allow us to obtain the function f(x) = -2x + 2
3. If you take the parent function and make f(x)-1, then you have:
f(x)-1=x-1 (The function is shifted down 1 unit on the y-axis).
4. Then you make -2f(x), as following:
y=-2(f(x)-1)=-2x+2 (The function is reflected in the y-axis).
5. That is how you obtain the final function.
Answer:
It will take 3 hours to drive 90miles.
Step-by-step explanation:
240miles/8hours=30miles/1 hr. 90miles/3hours
Answer: 53.1ft
Step-by-step explanation:
We can draw a triangle rectangle.
Where the distance between the man and the tree is one cathetus, (the vertex is on the man's eyes)
The tree itself is the other cathetus, and the line that connects the man's eyes and the tip of the tree is the hypotenuse.
We know that:
The angle at the vertex of the man's eyes is 67°
And the adjacent cathetus, the distance between the man and the tree, is 20ft.
Then using the relation:
Tan(A) = (opposite cathetus)/(adjacent cathetus)
We can find the height of the treee:
Tan(67°) = X/20ft
Tan(67°)*20ft = X = 47.1ft
But remember that this is measured from the mans eye's, and the man's eyes are 6ft away from the ground.
Then the height of the tree is 47.1ft + 6ft = 53.1ft