Answer:
Any point on the circle (x + 1)² + (y - 5)² = 2 with center (-1 , 5) and radius √2
Step-by-step explanation:
circle: (x + 1)² + (y - 5)² = 2
Logx (8x-3) - logx 4 = 2
logx [(8x-3)/4] = 2
x^2=(8x-3)/4
4x^2=4(8x-3)/4
4x^2=8x-3
4x^2-8x+3=8x-3-8x+3
4x^2-8x+3=0
4(4x^2-8x+3=0)
(4^2)(x^2)-8(4x)+12=0
(4x)^2-8(4x)+12=0
(4x-2)(4x-6)=0
2(4x/2-2/2)2(4x/2-6/2)=0
4(2x-1)(2x-3)=0
4(2x-1)(2x-3)/4=0/4
(2x-1)(2x-3)=0
Two options:
1) 2x-1=0
2x-1+1=0+1
2x=1
2x/2=1/2
x=1/2
2) 2x-3=0
2x-3+3=0+3
2x=3
2x/2=3/2
x=3/2
Answer: Two solutions: x=1/2 and x=3/2
Answer:
11. -42
12. 9
13. 100 + (-100) = 0
14. 6 + (-4) = 2
Step-by-step explanation:
11. -42 + 36 would be the same as 42 - 36 but in this case it's negative, so that would be -6.---- -6 + (-36) equals -36 minus 6, or -42 (a negative plus a negative is always a negative)
12. -17 + 17 = 0 , 0 + 9 = 9
13. since the hawk started at 100 ft, add (-100) to get 0 (ground level)
14. leah ran 6 blocks north, then 4 blocks south, so add 6 + (-4)
Answer:
(-4 , 6)
Step-by-step explanation:
3x +4y - 12=0
x = 1/3 × (12-4y)
y² = 9 × 1/3 × (12-4y) = 36 -12y
y² + 12y -36 =0
(y -6)² = 0
y = 6
x = -4
