2x - y = - 1 3x- 2y= 1
1 answer:
You might be interested in
Answer:
x ≈ 4.1 cm
Step-by-step explanation:
The segment from the centre to the chord is a perpendicular bisector
The third side of the triangle = 14.6 ÷ 2 = 7.8
We now have a right triangle with legs x and 7.8 with hypotenuse 8.8
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 7.8² = 8.8²
x² + 60.84 = 77.44 ( subtract 60.84 from both sides )
x² = 16.6 ( take the square root of both sides )
x = ≈ 4.1 ( nearest tenth )
This directly proportional relationship between p and q is written as p∝q where that middle sign is the sign of proportionality. The value of y can be found as shown below.
<h3>What is the directly proportional and inversely proportional relationship?</h3>Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called the constant of proportionality.
This directly proportional relationship between p and q is written as
p∝ q where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n be two variables.
Then m and n are said to be inversely proportional to each other if
(both are equal)
where c is a constant number called the constant of proportionality.
This inversely proportional relationship is denoted by
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
1.) The relation can be written as,
y ∝ x
y = kx
27 = k × 3
k = 9
Value of y, when x=4 is,
y = 9 × 4 = 36
2.) The relation can be written as,
y ∝ x²
y = k x²
160 = k × 4²
160 = k × 16
k = 10
Value of y, when x=6 is,
y = 10 × 36 = 360
3.) The relation can be written as,
y ∝ (1/x)
y = k/x
16 = k × (1/2)
k = 32
Value of y, when x=17 is,
y = 32 × (1/17) = 1.8823
4.) The relation can be written as,
y ∝ (1/x²)
y = k(1/x²)
64 = k × (1/4²)
64 = k × (1/16)
k = 1024
Value of y, when x=7 is,
y = 1024 × (1/49) = 20.8979
Learn more about Directly and Inversely proportional relationships:
#SPJ1