Answer:
Proof for
Step-by-step explanation:
We are given that a, n, b, r and k are integers.
Also,
Since k divides a and b, we can write,
a = rk and b = sk, where r and s are integers.
Now, we have to prove that k divides r as well that is
Putting value of a and b in the equation, we get:
Since, (r-sn) is an integer, k divides r.
Answer:
$80
Step-by-step explanation:
400÷50= 80 which is the weekly rate of wages
Answer:
y = 32
Step-by-step explanation:
Given y is directly proportional to x² then the equation relating them is
y = kx² ← k is the constant of proportion
To find k use the condition when x = 3, y = 4.5 , then
4.5 = k × 3² = 9k ( divide both sides by 9 )
0.5 = k
y = 0.5x² ← equation of proportion
When x = 8 , then
y = 0.5 × 8² = 0.5 × 64 = 32
In the point-slope form of a line, (y-y1)=m(x-x1)
'm' represents the slope of the line.
(x1,y1) represents a given point on the line.
(x,y) represents any point on the line.
The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form.
A straight line is represented using its slope and a point on the line using point slope form. This means that the point slope form is used to determine the equation of a line whose slope is "m" and passes through the point (x1,y1).
The point slope form's equation is (y-y1)=m(x-x1), where (x, y) is a randomly chosen point on the line and m is the slope.
Learn more about point-slope form here:
brainly.com/question/6497976
#SPJ1