Answer:
Step-by-step explanation:
Given:
Two points are given
x = number of minutes
y = length of the lin
⇒ (0, 6)
⇒ (20, 17)
We need to find the equation that represents the relationship between x, y.
Solution:
Using slope formula to find the slope of the equation of the line.
Substitute = (0, 6) and = (20, 17) in above equation.
So, slope of the line 
Using point slope formula.
------------(1)
Where, m = slope of the line
Substitute ⇒ (0, 6) and in equation 1.
Add 6 both side of the equation.
Therefore, the equation that represents the relationship between x and y is written as:
Suppose the shorter leg is x, then the longer leg is x+3, and the hypotenuse is x+6
x^2 +(x+3)^2 =(x+6)^2
x^2 + x^2 + 6x +9=x^2 + 12x +36
x^2-6x-27=0
(x+3)(3-9)=0
x=-3, which is impossible, or x=9
so the shorter leg is 9mm, the longer leg is 12mm, and the hypotenuse is 15mm
9514 1404 393
Answer:
420
Step-by-step explanation:
The prime factors of each denominator are ...
12 = 2²×3
14 = 2×7
5 = 5
10 = 2×5
The unique factors are 2²×3×5×7 = 420.
The least common denominator of these fractions is 420.
_____
<em>Additional comment</em>
- 5/12 = 175/420
- 9/14 = 270/420
- 2/5 = 168/420
- 1/10 = 42/420
Answer:
x = - 15
Step-by-step explanation:
Given
+ 3 = x - 2
Multiply through by 3 to clear the fraction
4x + 9 = 3x - 6 ( subtract 3x from both sides )
x + 9 = - 6 ( subtract 9 from both sides )
x = - 15
