Answer:
( x + 5 )² + ( y - 8 )² = 25
Step-by-step explanation:
Standard form for the equation of a circle - ( x - h )² + ( y - k )² = r²
Where r = radius and Center is located at ( h , k )
We are given that the center is at ( -5 , 8 )
Thus, h = -5 and k = 8
We are also given that the radius = 5
Thus, r = 5
Now we just plug all of the given values into the standard form equation
( x - (-5))² + ( y - 8 )² = 5²
*simplify*
in - ( - 5 ) the two negative sign cancel out and it turns into + 5
5² = 25
Thus, the equation is ( x + 5 )² + ( y - 8 )² = 25
Answer:
1. y = -11/4; (-2, -11/4)
2. y = -1; (0, -1)
3. y = -1/8; (1, -1/8)
4. y = 0; (8/7, 0)
5. y = 3/4; (2, 3/4)
Step-by-step explanation:
Answer:
sinA=15/17 and cosA=8/17
Step-by-step explanation:
sine is opposite side over hypotenuse and cosine is adjacent side over hypotenuse
Answer:
- trail mix: $1.25
- jelly beans: $3.50 per pound
Step-by-step explanation:
The difference between double the first purchase and the second purchase is $7 and 2 pounds of jelly beans. Hence a pound of jelly beans is $3.50.
(4t +8j) -2(2t +3j) = (33) -2(13) . . . . . let t and j represent pounds of trail mix and jelly beans, respectively
2j = 7 . . . . . . . . . . simplify
j = 7/2 = 3.50
Using that value in the first purchase, we get ...
2t +3(3.50) = 13
2t = 13 -10.50
t = 2.50/2 = 1.25
A pound of trail mix is $1.25.
