Answer:
![x = \dfrac{10}{3}~~or~~x = -2](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cdfrac%7B10%7D%7B3%7D~~or~~x%20%3D%20-2%20)
Step-by-step explanation:
(x,−1) and (4x−2,5) is 10
![\sqrt{(4x - 2 - x)^2 + (-1 - 5)^2} = 10](https://tex.z-dn.net/?f=%20%5Csqrt%7B%284x%20-%202%20-%20x%29%5E2%20%2B%20%28-1%20-%205%29%5E2%7D%20%3D%2010%20)
![(3x - 2)^2 + (-6)^2 = 100](https://tex.z-dn.net/?f=%20%283x%20-%202%29%5E2%20%2B%20%28-6%29%5E2%20%3D%20100%20)
![9x^2 - 12x + 4 + 36 = 100](https://tex.z-dn.net/?f=%209x%5E2%20-%2012x%20%2B%204%20%2B%2036%20%3D%20100%20)
![9x^2 - 12x + 40 = 100](https://tex.z-dn.net/?f=%209x%5E2%20-%2012x%20%2B%2040%20%3D%20100%20)
![9x^2 - 12x - 60 = 0](https://tex.z-dn.net/?f=%209x%5E2%20-%2012x%20-%2060%20%3D%200%20)
![3x^2 - 4x - 20 = 0](https://tex.z-dn.net/?f=%203x%5E2%20-%204x%20-%2020%20%3D%200%20)
![3x^2 - 10x + 6x - 20 = 0](https://tex.z-dn.net/?f=%203x%5E2%20-%2010x%20%2B%206x%20-%2020%20%3D%200%20)
![x(3x - 10) + 2(3x - 10) = 0](https://tex.z-dn.net/?f=%20x%283x%20-%2010%29%20%2B%202%283x%20-%2010%29%20%3D%200%20)
![(3x - 10)(x + 2) = 0](https://tex.z-dn.net/?f=%20%283x%20-%2010%29%28x%20%2B%202%29%20%3D%200%20)
![x = \dfrac{10}{3}~~or~~x = -2](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cdfrac%7B10%7D%7B3%7D~~or~~x%20%3D%20-2%20)
Answer:20.39
Step-by-step explanation:
Answer:
-24
Step-by-step explanation:
If there were 5 transactions, 5 times the mean amount of the transactions will add up -120. If "x" is the mean amount of the transactions:
5*x = -120
x = -120/5
x = -24
The zeroes of the given polynomial is 1 and -6.
<h3>What is Polynomials?</h3>
A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Here, given equation;
f(x) = (x - 1)(x + 6)
for finding the zeros of the equation we need to put.....f(x) = 0
0 = (x - 1)(x + 6)
x - 1 = 0 or x + 6 = 0
x = 1 or x = -6
Thus, The zeroes of the given polynomial is 1 and -6.
Learn more about Polynomials from:
brainly.com/question/17822016
#SPJ1
Answer:
The length of the board is 60 inches. It's cut into two parts so that the longer piece is 5 times of the shorter part. The equation is formed as under...
Let's assume the shorter part is … x then the longer part is... 5x. The total parts are..
x + 5x = 6x and given that 6x is equal to 60 inches. Therefore...
If 6x = 60 inches then
x = 60/6 = 10 inches and the longer piece is 5x = 5.10 = 50 inches.
The shorter piece is 10 inches long and the length of the longer piece is 50 inches. Answer. Thanks.
Step-by-step explanation:
not sure