Answer:
(0, 1 ) and (
, )
Step-by-step explanation:
Given the 2 equations
x³ - xy = 0 → (1)
x + y = 1 → (2) ( subtract x from both sides )
y = 1 - x → (3)
Substitute y = 1 - x into (1)
x² - x(1 - x) = 0
x² - x + x² = 0
2x² - x = 0 ← factor out x from each term on the left side
x(2x - 1) = 0
Equate each factor to zero and solve for x
x = 0
2x - 1 = 0 ⇒ 2x = 1 ⇒ x =
Substitute these values into (3) for corresponding values of y
x = 0 : y = 1 - 0 = 1 ⇒ (0, 1 )
x = : y = 1 - = ⇒ ( , )
Answer:
y = -1x + 3 or y = -x + 3 (**That is the last option which is D**)
Step-by-step explanation:
You need to do slope-intercept formula and the slope formula.
The Slope-Intercept Formula: y=mx+b
The Slope Formula: y2 - y1 / x2-x1
Your coordinates:
(-1,4) and (1,2)
2 - 4/1- (-1)
-2/2
Simplified is -1
Your "m" in the slope-intercept formula is -1
Formula: y=-1x + b
Now, you need to find the Y-Intercept which is the "b"
Using our slope-intercept formula, you need to plug in "x1" and "y1"
4 = -1(-1) + b
4 = 1 +b
4-1 = b
3 = b
So your equation is:
y = -1x + 3 or y = -x + 3
Answer:
x = 50, y = 140
Step-by-step explanation:
The angles x, 40 and 90 lie on a straight line and sum to 180° , that is
x + 40 + 90 = 180
x + 130 = 180 ( subtract 130 from both sides )
x = 50
The angle vertically opposite x is congruent to x , that is 50°
y = 90 + 50 = 140
The longer side is 36 and the shorter side is 24
