Answer:
255.5 miles
Step-by-step explanation:
146 miles - 2 hours
x miles - 3.5 hours
Cross multiply
2x = 146 x 3.5
2x = 511
Divide both sides by 2
x = 511/2
x = 255.5 miles
3. Answer: a) RT
b) XZ
c) TS
4. Answer: a) 26
b) 58
c) 21.5
d) 127
<u>Step-by-step explanation:</u>
2(PT) = AE 2(CP) = AN 2(CT) = EN
2(13) = AE 2(29) = AN 2(CT) = 43
26 = AE 58 = AN CT = 21.5
Perimeter = AE + AN + EN
= 26 + 58 + 43
= 127
Answer:

Step-by-step explanation:
Given:
Center of circle is at (5, -4).
A point on the circle is 
Equation of a circle with center
and radius 'r' is given as:

Here, 
Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:
Using distance formula for the points (5, -4) and (-3, 2), we get

Therefore, the equation of the circle is:

Now, rewriting it in the form asked in the question, we get

If you are given with all the tree sides of the triangle, you may solve for all the angles through the Law of Cosines,
c² = a² + b² - 2ab(cos C)
where angle C is the angle opposite the side c. You may use the same equation to get the values of the remaining angle. Additionally, if you already have one known angle, you can solve for the rest of the angles by Law of Sines,
a / sin A = b / sin B = c / sin C
Recall that, an absolute value expression is a piece-wise in effect, thus we'd check the single-sided limits,