1. -18 +15x = 3(4x-6) + 3x
-18 + 15x = 12x - 18 + 3x
-18 + 3x = -18 + 3x
3x = 3x
x = All Real Numbers (because we don't know what x is since the equation is 3x = 3x, we can assume that it is all "real" numbers)
2. -10 + 5x = 5(x - 3) + 5
-10 + 5x = 5x - 15 + 5
-10 = -10
Answer Undefined (because the x coefficients canceled out, we don't know what x even is, so we can claim it as undefined.)
Answer:
x = 3
Step-by-step explanation:
ΔABC is 45 45 90 right triangle
The ratio of leg: hypo = a : a√2
Given: hypo AC = 6√2; so AB = BC = 6
ΔBCD is 30 60 90 right triangle
The ratio of short leg : long leg : hypo = x : x√3 : 2x
Hypo. BC = 6 = 2 (3)
So short leg BD = x = 3
Answer:
D
Step-by-step explanation:
Passes through the x-axis at r and k
Answer:
x²+y²-4x-6y+12.75=0
Step-by-step explanation:
The equation is given by (x-h)²+(y-k)²=r²
center is (2,3), so h=2, k=3,r=0.5
equation is given by;
(x-2)²+(y-3)²=0.5²
Expand
x(x-2)-2(x-2)+y(y-3)-3(y-3)=0.5²
4-2x-2x+x²+9-3y-3y+y²=0.25
4-4x+x²+9-6y+y²=0.25
x²-4x+13+y²-6y=0.25
x²-4x+y²-6y+13=0.25
x²-4x+y²-6y+12.75=0
x²+y²-4x-6y+12.75=0
Slope is -1 and y intercept is 8
