Answer:
x = -6 and x = 1
Step-by-step explanation:
It's a little easier to see what must be done here if you write this problem as:
3
(1/2)x = -------------
x + 5
Multiply both sides by 2 to eliminate the fraction 1/2:
6
x = ---------------------
x + 5
Now cross multiply: we get x(x + 5) = 6, or:
x^2 + 5x - 6 = 0, or
(x + 6)(x - 1) = 0, so that x = -6 and x = 1. Both are valid answers, as the given expression is true if you substitute these x-values one at a time
Answer:
4.4 inches
Step-by-step explanation:
Here, we are interested in calculating the value of x.
Mathematically, a line that comes from the center of the circle and extends to a chord, divides the chord into two equal parts.
This means what we have is a right angled triangle with the radius being the hypotenuse, the half of the length of the chord as the other side of the triangle.
3.7 is half the length of the chord i.e 7.4/2
Thus;
using Pythagoras’ theorem
x^2 = 2.4^2 + 3.7^2
Pythagoras’ posited that the square of the hypotenuse is equal to the sum of the squares of the other two sides of the triangle.
Thus;
x^2 =5.76 + 13.69
x^2 = 19.45
x = √(19.45)
x = 4.41 inches which is 4.4 inches to the nearest tenth
Let's denote Cindy's age which is unknown with X
We know that Cindy's age is 3 times her age 6 years ago.
6 years ago Cindy's age was the present age (X) - 6 : X-6
The fact that the present age is 3 times her age 6 year ago can be written as:
3*(X-6)
So, finally:
X=3*(X-6)
There is an app called socratic, also if this assignment goes with a text book there is an app called sladder that has all textbook answers with work