Answer:
The answer to your question is See the attachment
Step-by-step explanation:
Equation
(x - 8)² + (y + 5)² = 4
Process
1.- Write the standard equation of the circle
(x - h)² + (y - k)² = r²
2.- Find the center
The center are the letters h and k
h = 8 k = -5
3.- Find the radius
r = 2
4.- Graph the circle ( i will use geogebra)
See below
Answer: The angle through which the pendulum travels = 
.
Step-by-step explanation:
Formula: Length of arc: 
, where r= radius ( in radians) , 
= central angle.
Given: Length of pendulum (radius) = 45 cm
Length of arc= 27.5 cm
Put these values in the formula, we get
In degrees ,
![\theta=\dfrac{11}{18}\times\dfrac{180}{\pi}=\dfrac{110\times7}{22} \ \ \ \ [\pi=\dfrac{22}{7}]](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cdfrac%7B11%7D%7B18%7D%5Ctimes%5Cdfrac%7B180%7D%7B%5Cpi%7D%3D%5Cdfrac%7B110%5Ctimes7%7D%7B22%7D%20%5C%20%5C%20%5C%20%5C%20%20%20%20%5B%5Cpi%3D%5Cdfrac%7B22%7D%7B7%7D%5D)
Hence, the angle through which the pendulum travels = .
Answer:
f(2) = 12
f(x) = 7, x = -3, 1
Step-by-step explanation:
<u>a)</u>
plug in x as 2
f(x) = 2^2 + 2(2) + 4
f(x) = 4 + 4 + 4
f(x) = 12
<u>b)</u>
replace f(x) with 7
7 = x^2 + 2x + 4
x^2 + 2x - 3 (move 7 to other side)
Factor
ac: -3x^2
b: 2x
split b into 3x, -x
(x^2 -x) + (3x - 3)
↓ ↓
x(x-1) + 3(x-1)
Factor: (x-1)(x+3) = 0
Solve using Zero Product Property:
x - 1 = 0, x + 3 = 0
x = 1, x = -3
Answer:
Yes, they are congruent by either ASA or AAS.
Step-by-step explanation:
google lol
Yes. If the segment only has 2 points, it can be named both ways.
