there will be one solution because the lines intersect at exactly one set of points.
(0,6)(6,3)
slope(m) = (3-6) / (6-0) = -3/6 = -1/2
y = mx + b
6 = -1/2(0) + b
6 = b
y = -1/2x + 6
(0,0)(6,6)
slope(m) = (6-0) / (6-0) = 6/6 = 1
y = mx + b
6 = 1(6) + b
6 = 6 + b
6 - 6 = b
0 = b
y = x + 0
x = -1/2x + 6
1/2x + x = 6
1/2x + 2/2x = 6
3/2x = 6
x = 6/(3/2)
x = 6 * 2/3
x = 12/3 = 4
<span>solution is : (4,4)</span>
22 just kidding........ 16
1. the combinations are 5 and 3 twice and 3 and 4 twice
5+3+5+3+3+4+3+4= 30 L
2. Trya can ride 12 , 18, 24,30 kilometres are the possible distance
3. lexi can put 4 ribbons and 2 photos on her bulletin that is 40 cm meters.
ribbons 4×4=16
bulletin 12×2=24
altogether 40 cm with nothing overlapping
4. don't know dollars and centd sorry I know pounds as I am British
Answer:
- x = 0 or 1
- x = ±i/4
- x = -5 (twice)
Step-by-step explanation:
Factoring is aided by having the equations in standard form. The first step in each case is to put the equations in that form. The zero product property tells you that a product is zero when a factor is zero. The solutions are the values of x that make the factors zero.
1. x^2 -x = 0
x(x -1) = 0 . . . . . x = 0 or 1
__
2. 16x^2 +1 = 0
This is the "difference of squares" ...
(4x)^2 - (i)^2 = 0
(4x -i)(4x +i) = 0 . . . . . x = -i/4 or i/4 (zeros are complex)
__
3. x^2 +10x +25 = 0
(x +5)(x +5) = 0 . . . . . x = -5 with multiplicity 2
Answer:
Susie is correct the function is x times itself = y.