Answer:
x + 3y = 9
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y - 1 = - (x - 6)
Multiply through by 3 to clear the fraction
3y - 3 = - (x - 6) ← distribute parenthesis by - 1
3y - 3 = - x + 6 ( add x to both sides )
x + 3y - 3 = 6 ( add 3 to both sides )
x + 3y = 9 ← in standard form
Well, if y = x - 5, then we calculate:
when x = -1 then y = -1 -5 = -6
when x = 0 then y = -5
when x = 1 then y = 1 - 5 = -4
when x = 2 then y = 2 - 5 = -3
Hope this helps!
Answer:
see explanation
Step-by-step explanation:
1 revolution is equivalent to the circumference of the wheel
1 revolution = πd ( d is the diameter )
= 70π cm
50 revolutions = 70π × 50 = 3500π cm = 35π m ≈ 110m ( nearest metre )
I believe OD. 154in i’m not sure though
Answer:
(5, - 4)
Step-by-step explanation:
Given a quadratic in standard form : ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= -
x² - 10x + 21 ← is in standard form
with a = 1, b = - 10, so
= - = 5
Substitute x = 5 into the quadratic for the corresponding value of y
y = 5² - 10(5) + 21 = 25 - 50 + 21 = - 4
vertex = (5, - 4)