Use the Pythagorean theorem:
c - a hypotenuse
a, b - legs
We have: a = 9 and c = 12. Substitute:
<em>subtract 81 from both sides</em>
A Pythagorean triple consists of three positive integers a, b and c, such that
.
is not positive integer.
<h3>The sides of the triangle do not form a pythagorean triple.</h3>
Answer:
x+4=0
Step-by-step explanation:
Answer:
The roots of the polynomial are;
3 + 2i
and 3-2i
Step-by-step explanation:
Here, we want to solve the given polynomial using the completing the square method
We start by dividing through by 8
This will give;
x^2 - 6x = -13
To complete the square, we simply divide the coefficient of x by 2 and square it
We have this as -6/2 = -3
square it;; = (-3)^2 = 9
Add it to both sides
x^2 - 6x + 9 = -13 + 9
x^2 - 6x + 9 = -4
(x-3)^2 = -4
Find the square root of both sides
x-3 = ±2i
x = 3 + 2i
or x = 3-2i
Answer:
(2/3)x = -11
x = -33/2
Step-by-step explanation:
2/3 of a number is -11.
Let the unknown number be x.
2/3 of x is -11.
(2/3)x = -11
Multiply both sides by 3/2.
(3/2)(2/3)x = (3/2)(-11/1)
x = -33/2
Answer:
24
Step-by-step explanation:
Basically, for every 5 boys there is 3 girls. A simple way to solve this, but longer, yet the one I personally use count up, go 5*2 3*2 and find which one adds up to 64. Once you get to 64, total including the product of both, you will have the amount of boys and girls. In this case
5*8 and 3*8 = 64
3*8 = 24
5*8 = 40
There are 24 girls
