Answer:
Step-by-step explanation:
1) Solve the equation: [4ax - (a + b)](a + b) = 0, where a and b are constants.
- if a + b = 0, then x has infinitely many solutions
or
- 4ax = a + b
- x = (a + b)/4a, a≠0
2) Solve the equation m²x + 1 = m(x + 1), where m is a parameter.
- m²x + 1 - mx - m = 0
- (m²- m)x = m - 1
- m(m - 1)x = m - 1
- mx = 1
- x = 1/m, m≠0
3) Given that the equation a(2x - 1) = 3x - 3 has no solution, find the value of the parameter a.
- a(2x - 1) = 3x - 3
- 2ax - a = 3x - 3
- 2ax - 3x = a - 3
- (2a - 3)x = a - 3
- x = (a - 3)/(2a - 3)
<u>The equation has no solution if:</u>
The equation of a line that passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given
(3,1) and m=3
y-1=3(x-3)
y-1=3x-9
y=3x-8
Answer:
No, because the amount of money on her gift card should decrease each week.
Step-by-step explanation:
Well, the graph shows that the slope is increasing, if you got $50.00 and spend $6.00 each Friday, wouldn't that be decrease and not increase? This is why we eliminate the yes options. Lastly, of course, they should not start at the origin as they started at $50.00.
Proof I got it correct:
30:42 is represented as 30/42
The lowest form for that is 5/7. Hope that helped. Good luck
Answer:
see explanation
Step-by-step explanation:
In a rectangle
• All angles are right angles
• the diagonals are congruent
In Δ WXV the sum of the 3 angles = 180°
∠ WXZ = ∠ XWY =
=
= 58°
∠ YXZ = 90° - 58° = 32°
∠ WVZ = 180° - 64° = 116° ( adjacent angles are supplementary )
∠ XWZ = 90° ( by definition of rectangle )
∠ XZY = ∠ WXZ = 58° ( corresponding angles )