Pythagorean theorem:
a² + b² = c²
a is the long leg of the triangle
b is the short leg of the triangle
c is the hypotenuse
side lengths ; 3 inches, 4 inches, 5 inches of a right triangle.
a = 4 inches
b = 3 inches
c = 5 inches
4² + 3² = 5²
16 + 9 = 25
25 = 25
Answer:
Y = 1/27x
Step-by-step explanation:
In order to find the inverse we switch places with x and y to get x = y27. In order to even out the equation, we divide both sides by 27 to get our answer. The answer would be y = x/27 or y = (1/27)x.
Apologies if I'm incorrect.
Answer:
-25=x
Step-by-step explanation:
20=10x-6(2x+5)
20=10x-12x-30
20=-2x-30
+30 +30
____________
50=-2x
÷-2 ÷-2
___________
-25=x
Hope this helps :D
Answer:
How?
Step-by-step explanation:
Answer:
There's no direct variation
Step-by-step explanation:
Required
Determine if there's a direct variation between the number and its position
I'll start by giving an illustration of how the triangle is represented using stars (*)
*
**
***
****
*****
Represent the line number with y and it's position with x
On line 1:
y = 1, x = 1
On line 2:
y = 2, x = 3
On line 3:
y = 3, x = 6
On line 4:
y = 4, x = 10
On line 5:
y = 5, x = 15
Note that, x is gotten by calculating the accumulated number of stars while y is the line number.
Direct variation is represented by
y = kx
Or
kx = y
Where k is the constant of variation
For line 1:
Substitute 1 for y and 1 for x
k * 1 = 1
k = 1
For line 2:
Substitute 2 for y and 3 for x
k * 3 = 2
Divide through by 3
k = ⅔
Note that the values of k in both computations differ.
This implies that there's no direct variation and there's no need to check further.
