Which equation represents a direct linear variation?
2 answers:
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Answer:
see explanation
Step-by-step explanation:
I will begin with part two, first.
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius.
Given
x² - 18x + y² - 10y = - 6
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 9)x + 81 + y² + 2(- 5)y + 25 = - 6 + 81 + 25, that is
(x - 9)² + (y - 5)² = 100 ← in standard form
with centre = (9, 5 ) and r = = 10
Answer:
x=2 and y=3.
Step-by-step explanation:
Let the one number be x and the other number be y.
ATQ, 2x=1+y and x+y=5. x=2 and y=3.
Answer:
27,0 the distance away from the school
Step-by-step explanation:
Apply the formula for equation of a straight line;
y=mx+c where c is the y intercept , and m is the gradient
From the graph, the slope is negative where speed decreases with increase in time
Find the gradient by applying the formula;
Taking y₁=24, y₂=20, x₁=9, x₂=12
Then;
write the equation of the function as ;
y=mx+c, c=36( the y-intercept when x=0) hence the equation is;
To get x-intercept, substitute value of y with 0
This means that the x-intercept is 27 ,and this means you will require 27 minutes to cover the whole distance to the school.
