Lines A and B are parallel. Lines A and B apre perpendicular to Line C.
Change all of the lines from standard form to slope-intercept.
Line A: y = 4/3x + 2/3
Line B: y = 4/3x + 2
Line C: y = -3/4x + 1
Since A and B have the same slope they are parallel. C has a negative reciprocal so it's perpendicular.
17 quarts is greater. 4 gallons is equal to 16 quarts, right?
So 17 quarts would be greater than 4 gallons or 4.25 gallons
17 QUARTS IS GREATER.
Answer:
<u>The system has two solutions:</u>
<u>x₁ = 5 ⇒ y₁ = -10</u>
<u>x₂ = -2 ⇒ y₂ = 11</u>
Step-by-step explanation:
Let's solve the system of equations, this way:
y = -3x + 5
y = x ² - 6x - 5
Replacing y in the 2nd equation:
y = x ² - 6x - 5
-3x + 5 = x ² - 6x - 5
x ² - 3x - 10 = 0
Solving for x, using the quadratic formula:
(3 +/- √(9 -4 * 1 * -10))/2 * 1
(3 +/- √9 + 40)/2
(3 +/- √49)/2
(3 +/- 7)/2
x₁ = 10/2 = 5
x₂ = -4/2 = -2
x₁ = 5 ⇒ y₁ = -10
x₂ = -2 ⇒ y₂ = 11
<u>As we can see the system has two different solutions</u>
