Answer:
x = 6
Step-by-step explanation:
Given that x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 25 when y = 100 , then
100 = 25k ( divide both sides by 25 )
4 = k
y = 4x ← equation of variation
When y = 24 , then
24 = 4x ( divide both sides by 4 )
6 = x
Answer:
-6
Step-by-step explanation:
h(x) = -3x – 12 becomes h(-2) = -3(-2) – 12 = -6
To solve you can use inverse operations.
Here are the steps to find the answer:
1. Write out the equation: -6(x-2)+3x= -3(x+3) +21
2. Distribute both sides: -6x+12+3x= -3x-9+21
3. Simplify both sides: -3x+12=-3x+12
4. This equation is true for all values, or infinity, because the equation is the same on both sides
Let me know if you need further explanation. I hope this helps.
We have been given that a right triangle with integer sides has area equal to 30. We are asked to find the length of hypotenuse of right triangle.
We know that area of triangle is half the product of its base length and height.
Since our given triangle is a right triangle, so its base and height will be legs of right triangle.




This means that product of two bases is 60.
Now we need to find two multiples of 60 such that they are make a right triangle.
Multiples of 60:
1, 60
2, 30
3, 20
4, 15
5, 12
6, 10
We know that (5, 12 and 13) is a Pythagoras triplet.



Therefore, the hypotenuse of right triangle is 13 units.