Line segment YV of rectangle YVWX measures 24 units.
1 answer:
Answer: 8√3
<u>Step-by-step explanation:</u>
ΔXVW is a 30°-60°-90° triangle. This special triangle has corresponding sides of lengths: b - b√3 - 2b. So,
VW = b
XW = b√3
XV = 2b
Since, YV = 24, then XW = 24 and we stated above that XW = b√3. So,
24 = b√3
= b
= b
= b
8√3 = b
We are looking for side YX which is congruent (equal) to VW and we stated above that VW = b, So, VW = 8√3
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Function and its inverse was graphed.
<u>Step-by-step explanation:</u>
y = -4x²- 2
To find the inverse function of y = -4x²- 2 we have to transform the formula to calculate x in terms of y.
y = -4x²- 2
-4x² = y - 2
x = √(y-2) / -4
Now we can change the letters to follow the convention that x is the independent variable and y is the function's value:
y = √(x-2) / -4
Now we have to draw the graph as,
It was side by side that is LHS is the function and the RHS is its inverse.
The mid-point for given endpoints is (4,3)
Step-by-step explanation:
a mid-point is the point on a line segment that divides it into two equal portions.
If (x1,y1) and (x2,y2) are the coordinates of vertices of a line segment, then mid-point is given by:
given
(x1,y1) = (9,9)
(x2,y2) = (-1,-3)
The mid-point for given endpoints is (4,3)
Keywords: Coordinate Geometry, Mid-point
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