Y is directly proportional to x and therefore takes the form y=kx where k is the constant of proportionality.
Dividing both sides by x for the given values, k becomes 18/4 = 4.5
Answer:
9. is 3
10. is 1/5
Step-by-step explanation:
use rise/run to find the slope of the graph
Answer:
Condition 1:
four times the sum of X and Y = 4(X + Y)
Condition 2:
the sum of four times X and Y= 4X + Y
In condition 1, both the variables are first added and then multiplied by four. This can be simplified as:
4X +4Y
I condition 2, only the variable X is multiplied with 4 and then added to Y.
With positive integers, condition 1 will always give a greater value.
With negative integers, condition 2 will have greater value.
I hope it will help you!
Answer:
the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.
Step-by-step explanation:
Pythagorean Theorem: According to this theorem the result obtained by squaring the value of the hypotenuse of a right angled triangle is equal to the sum of the squares of the values other two sides of the triangle.
Hypotenuse = h
Altitude = l
Base = b
l²+b²=h²
Here 6²=36
9²=81
12²=144
15²=225
From the above it is clear that
81+144=225
⇒9²+12²=15²
Therefore the hypotenuse of the triangle is 15 cm and other two sides of the triangle are 9 cm and 12 cm and one angle of the triangle is 90°.
Answer:
y =
Step-by-step explanation:
A line with a slope of zero is a horizontal line parallel to the x- axis.
The equation of a horizontal line is
y = c
where c is the value of the y- coordinates the line passes through.
Here the line passes through (0, ) with y- coordinate , thus
y = ← equation of line