X = sqrt
t = x^2
y = 2t + 5
2t = y - 5
t = (y - 5)/2
so x^2 = (y - 5) / 2
2x^2 = y - 5
y = 2x^2 + 5
Answer:
Problem:
Consider a rectangle such that the length of the rectangle is 12 more than thrice its width. Find a formula for the length in terms of its width. Take width as 'x'.
Step-by-step explanation:
Consider a rectangle such that the length of the rectangle is 12 more than thrice its width. Find a formula for the length in terms of its width.
Let the width be 'x'.
Therefore, as per question, length is 12 more than thrice the width.
Thrice the width means 
. 12 more means adding 12 to the result.
Therefore, the length of the rectangle is 
So, the above question expresses the length of the rectangle as which is the required answer.
So you’re basically multiplying 18 and 15. It’s going to be 270 ft
Answer:
140
Step-by-step explanation:
The arithmetic series is 5, 7, 9, 11, ........., 23.
First u have to determine the no. of terms that can be done by using
Tₙ = [a + (n - 1)d]
Tₙ-------nth term
a---------first term
n---------no.of terms in the series
d---------common difference
here a = 5,d = 2.
let it contain n terms Tₙ= [a + (n-1)d]
Substitute Tₙ, a, and d in the equation
23 = 5 + (n - 1)2
Subtract 5 from each side.
18 = (n-1)2
Divide each side by 2
(n - 1) = 9
Add 1 to each side
n = 9 + 1 = 10
The sum of the arithmetic sequence formula: Sₙ= (n/2)[2a+(n-1)d]
Substitute Sₙ, a, n and d in the equation
Sₙ= (10/2)[2(5) + (10-1)2]
Sₙ= (5)[10 + (9)2]
Sₙ= 5[10 + 18]
Sₙ= 5[28] = 140
Therefore the sum of the arithmetic sequence is 140.
× equals negative 4 i think and y equals -3
