Answer:
I can answer the question, but represent in what? Do u got a picture or example or sum?
Answer:
The system is consistent; it has one solution ⇒ D
Step-by-step explanation:
A consistent system of equations has at least one solution
- The consistent independent system has exactly 1 solution
- The consistent dependent system has infinitely many solutions
An inconsistent system has no solution
In the system of equations ax + by = c and dx + ey = f, if
- a = d, b = e, and c = f, then the system is consistent dependent and has infinitely many solutions
- a = d, b = e, and c ≠ f, then the system is inconsistent and has no solution
- a ≠ d, and/or b ≠ e, and/or c ≠ f, then the system is consistent independent and has exactly one solution
In the given system of equations
∵ -2y + 2x = 3 ⇒ (1)
∵ -5y + 5x = 12 ⇒ (2)
→ By comparing equations (1) and (2)
∵ -2 ≠ -5
∵ 2 ≠ 5
∵ 3 ≠ 12
→ By using the 3rd rule above
∴ The system is consistent independent and has exactly one solution
∴ The system is consistent; it has one solution
Answer:
(9 x 0) + 4=4
Step-by-step explanation:
Answer:
y = 0.1x - 4
Step-by-step explanation:
Given the following data;
Points on the x-axis (x1, x2) = (-3, 7)
Points on the y-axis (y1, y2) = (-7, -6)
First of all, we would find the slope;
Mathematically, slope is given by the formula;
Substituting into the equation, we have;
Slope = (-6 - (-7))/(7 - (-3))
Slope = (-6 + 7)/(7 + 3)
Slope = 1/10
Slope = 0.1
Next, we would write the equation using the formula;
y - y1 = m(x - x1)
y - (-7) = 0.1(x - (-3))
y + 7 = 0.1(x + 3)
y + 7 = 0.1x + 3
y = 0.1x + 3 - 7
y = 0.1x - 4
Answer:
Step-by-step explanation:
You don't need the Law of Cosines, the Law of sines if what you need. You can't use the Law of Cosines because in order to find side a, you would need the length of side c and you don't have it. Using the Law of Sines is appropriate, knowing that angle B = 55:
and solving for a:
so
a = 143.0