What formula can you use to find the nth triangular number
1 answer:
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The equation for the table is y = 2.5 x
Step-by-step explanation:
The table is:
- x → 2 : 5.6 : 7 : 8
- y → 5 : 14 : 17.5 : 20
Lets check if the table represents the linear relation by find the ratio between the change of each two consecutive y-coordinates and the change of their corresponding x-coordinates
∵
∵
∵
∴ The rate of change between each two points is constant
∴ The table represent a linear equation
The form of linear equation is y = m x + b, where m is the rate of change and b is value y when x = 0
∵ m = 2.5
- Substitute it in the form of the equation
∴ y = 2.5 x + b
- To find b substitute x and y by the coordinates of any point
in the table above
∵ x = 2 and y = 5
∴ 5 = 2.5(2) + b
∴ 5 = 5 + b
- Subtract 5 from both sides
∴ 0 = b
∴ y = 2.5 x
The equation for the table is y = 2.5 x
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An equation is formed of two equal expressions. The correct options are C, D, and E.
<h3>What is an equation?</h3>An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The value of x in the given equation is,
Substitute the value of x in other option to check if the equations are equal are not. Therefore, the options can be written as,
A.) 18x - 15 = 72
18(4.5) - 15 = 66
Thus, this will not return the same value.
B.) 50x - 25 = 72
50(4.5) - 25 = 200
Thus, this will not return the same value.
C.) 18x - 9 = 72
18(4.5) - 9 = 72
Thus, this will return the same value.
D.) 3(6x - 3) = 72
3[6(4.5) - 3] = 72
Thus, this will return the same value.
E.) x = 4.5
Thus, this will return the same value.
Hence, the correct options are C, D, and E.
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Answer:
a=9, c=19
Step-by-step explanation:
Aight so basically in 30, 60, 90 triangles there is a formula for the sides
the hypotenuse(the longest side)=2a
The tiny side (the smallest side)=a
and the middle child =
Based on that we see that a is 9
and since c=2a then it's 18