Answer:
B is at the origin. D is on the x-axis.
Step-by-step explanation:
For a point to be at the origin, it lies at the intersection of both the x- axis and the y - axis. Both axes intersect at the origin. So, point B is at the origin.
For a point to be on the x - axis, its coordinate on the y- axis is zero. So, for a point on the x- axis with coordinate, x, it is the point (x,0) and it lies on the x axis. So, point D is on the x - axis.
For a point to be on the y - axis, its coordinate on the x - axis is zero. So, for a point on the y- axis with coordinate, y, it is the point (0,y) and it lies on the x axis. So, point A is on the y - axis.
The point C which is at (1,2) lies in the plane x-y since it has both x and y coordinates.
Answer:
(5, 2 ) and (- 1, 8 )
Step-by-step explanation:
Given the equations
y = - x + 7 → (1)
y = 0.5(x - 3)²
= 0.5(x² - 6x + 9)
y = 0.5x² - 3x + 4.5 → (2)
Substitute y = - x + 7 into (2)
- x + 7 = 0.5x² - 3x + 4.5 ( subtract - x + 7 from both sides )
0 = 0.5x² - 2x - 2.5 ( multiply through by 2 ) , then
x² - 4x - 5 = 0 ← in standard form
(x - 5)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
Substitute these values into (1) for corresponding values of y
x = 5 : y = - 5 + 7 = 2 ⇒ (5, 2 )
x = - 1 : y = -(- 1) + 7 = 1 + 7 = 8 ⇒ (- 1, 8 )
Answer:
Equation
970 - 17x = 1438 - 26x
Step-by-step explanation:
If the two planes are at the same altitude, then both plans above are equal
so
970 - 17x = 1438 - 26x
Answer:
80 degrees
Step-by-step explanation:
