Answer:
The system of equations has no solutions
Step-by-step explanation:
Here, we want to solve the system of equations simultaneously;
-2 = -y - x
y = -1 - x
Substitute the second into the first
-2 = -(-1-x) - x
-2 = 1 + x - x
We can see that the system has no solutions
Answer:
The answers are that a = -5 and b = 1
Step-by-step explanation:
In order to find A and B, we first need to find the equation of the line. We can do this by using two ordered pairs and the slope formula. For the purpose of this activity, I'l use (0, 5) and (-3, 11)
m(slope) = (y2 - y1)/(x2 - x1)
m = (11 - 5)/(-3 - 0)
m = 6/-3
m = -2
Now that we have this we can model this using point-slope form.
y - y1 = m(x - x1)
y - 5 = -2(x - 0)
y - 5 = -2x
y = -2x + 5
Now that we have the modeled equation we can use the ordered pair (a, 15) to solve for a.
y = -2x + 5
15 = -2(a) + 5
10 = -2a
-5 = a
And we can also solve for b using the ordered pair (2, b)
y = -2x + 5
b = -2(2) + 5
b = -4 + 5
b = 1
Answer:
<h2>
y + 2 = 3(x + 1)</h2>
Step-by-step explanation:
The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is: y - y₁ = m(x - x₁)
m = 3
x₁ = -1
y₁ = -2
Therefore the equation:
y - (-2) = 3(x - (-1))
<h3>
y + 2 = 3(x + 1)</h3>
Answer:
4x² + 4x + 1
Step-by-step explanation:
We know that (a + b)² = a² + 2ab + b², therefore, (2x + 1)² = 4x² + 4x + 1.