The length of an arc subtended by a central angle is proportional to the circle's circumference. If the given central angle has measure 
and the circle has radius 
, then the arc has length 
such that
where is given in radians. Then
If is given in degrees, then
<em>Heyo! ;D</em>
After evaluating the given expression, the result would be <em>14 - x.</em>
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Hope this helped you! If so, please lmk! Tysm and good luck!
Answer:
y = - 2(x + 4)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 4, 6 ) , thus
y = a(x - (- 4) )² + 6 , that is
y = a(x + 4)² + 6
To find a substitute (- 2, - 2) into the equation
- 2 = a(- 2 + 4)² + 6 ( subtract 6 from both sides )
- 8 = a(2)² = 4a ( divide both sides by 4 )
- 2 = a , thus
y = - 2(x + 4)² + 6 ← equation in vertex form
Answer:
Read below
Step-by-step explanation:
(2)2(−4)3. (2)3 +(−4)2. Substitute 2 for x and −4 for y. 4(−64). 8+16. = −256 ... An equation is a term used to describe a collection of numbers and variables related ... gives us a set of coordinate points that we can plot to create a graph of the function. ... The tick-marks on the number line represent evenly spaced integers.
Answer:
Monica paid $171 while Rachel paid $207
Step-by-step explanation:
We are told that Monic and Rachel purchased a tv for $378.
Let the amount spent by Monica be X and the amount spent by Rachel be Y.
Thus;
x + y = 378 - - - - (eq 1)
We are told that Monica paid $36 less then Rachel. Thus;
y = x + 36
Or y - x = 36 - - - (eq 2)
Add eq 1 & eq 2 together to give;
2y = 378 + 36
2y = 414
y = 414/2
y = $207
Put 207 for x in eq 1 to get;
x + 207 = 378
x = 378 - 207
x = $171
Thus;
Monica paid $171 while Rachel paid $207
