What is the value of x?
1 answer:
The value of x is 8√2.
<u>Step-by-step explanation</u>:
<u>From the right triangle,</u>
- The angles are 90°, 45° and the third angle is unknown.
- Third angle = 180° - (90°+45°) = 45°
- The measure of third angle is 45°
The length of the side opposite to angle 45° is a=8.
Therefore, the value of y opposite to angle 45° is also 8.(b=8)
<u>Using Pythagorean theorem,</u>
The length of hypotenuse is c ⇒ c² = a²+b²
c² = 8²+8²
c² = 64+64 = 128
c = √128
c = √642
c = 8√2
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Answer:
x =8 is the equation of the tangent.
Step-by-step explanation:
Here the equation of the given circle is:
Now, comparing it with the general equation of circle:
we get the central coordinates (h,k) = (3,-2)
So, the slope of the line joining center and (8, -2) =
Since the slope of line = 0, line is parallel to x axis.
Now, as tangent and the line is perpendicular to each other
⇒Slope of the tangent = -1/ slope of the line =
Now, by point slope formula: the equation of the tangent is
(y-y0) = m (x-x0)
or,
or x =8 is the equation of the tangent.
Answer: 3t = 60
Step-by-step explanation:
