Answer:
Height = h = 8.85 units
Step-by-step explanation:
Given Data:
Area of triangle = A = 17.7 Square units
Base = b = 4
Find Out:
Height = h = ?
Formula:
A = (b×h)÷2
h = (2×A)÷b
Solution:
h = (2×A)÷b
h = (2×17.7)÷4
h = (35.4)÷4
Height = h = 8.85 units
Answer:
Trapezoid.
Step-by-step explanation:
That is a trapezoid ( in the UK a trapezium).
There is a pair of parallel sides.
Answer:
A quadratic function generally does not have an inverse except on a restricted domain. If the domain of the <em>original</em> function is restricted to x ≥ 0, then the inverse function is ...
Step-by-step explanation:
Start by interchanging x and "y", then solve for y.
y = 5x² +4 . . . . . . given
x = 5y² +4 . . . . . . with x and y interchanged
x -4 = 5y² . . . . . . subtract 4
(x -4)/5 = y² . . . . . divide by 5
√((x -4)/5) = y . . . take the square root . . . . x ≥ 4, y ≥ 0
Then, ...
_____
The graph shows the original f(x) and the "inverse", called f1(x). Note that it is only a reflection across y=x of the right half of the original function. That is, the inverse only exists for the original function when its domain is restricted to x ≥ 0. (The domain of the inverse function is x ≥ 4.)
Answer:
y= -1.5x-7 is the equation of the perpendicular line
Here's why:
when we convert 2x-3y=8 to standard form, we get y= 2/3x-8/3. This means the perpendicular line will have a slope of the negative reciprocal of the original one, so the perpendicular slope is -1.5. When we substitute the points (-2,-4) into the equation y=-1.5x+b, we get a b value of -7. So the perpendicular line equation is y= -1.5x-7. You can't the parallel line equation with the points (-2,-4) as it is part of the line 2x-3y=8.
I hope this helps you
y=2/3x+6
y-6=2/3x
x=2/3 (y-6)
f^-1 (x)= 2/3. (x-6)