Answer: a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x. For example, 4 and −4 are square roots of 16, because 4² = ² = 16
The square of any number is always a positive number, so every number has two square roots, one of a positive value, and one of a negative value. For example, both 2 and -2 are square roots of 4.
13. you need a total of 14 a week and you have 1
Answer:
<h2>(x,y)=(6,-2)</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
- linear equation
- system of linear equation
- solving system of linear equation by graphing
- PEMDAS
<h3>given:</h3>
<h3>tips and formulas:</h3>
- to solve system of linear equation by graphing we have to simplify the linear equations to slope-intercept form
- slope intercept form:y=mx+b
<h3>let's solve:</h3>
let's simplify first linear equation to slope -intercept form
x+y=4
y=-x+4
table for this equation
<h3>see the first attachment picture</h3>
let's simplify first linear equation to slope -intercept form
![\sf7x - 6y = 54](https://tex.z-dn.net/?f=%20%5Csf7x%20%20-%206y%20%3D%2054)
![\sf - 6y = - 7x + 54 \\ \sf \frac{ - 6y}{ - 6} = \frac{ - 7}{ - 6} x + \frac{54}{ - 6} \\ \sf y = \frac{7}{6} x - 9](https://tex.z-dn.net/?f=%20%5Csf%20%20-%206y%20%3D%20%20-%207x%20%2B%2054%20%5C%5C%20%20%5Csf%20%20%5Cfrac%7B%20-%206y%7D%7B%20-%206%7D%20%20%3D%20%20%5Cfrac%7B%20-%207%7D%7B%20-%206%7D%20%20x%20%20%2B%20%20%5Cfrac%7B54%7D%7B%20-%206%7D%20%20%5C%5C%20%5Csf%20y%20%3D%20%20%5Cfrac%7B7%7D%7B6%7D%20x%20-%209)
table for this equation
<h3>see the second attached picture</h3>
solutions by graphing the system of linear equation
<h3>see the last attached picture</h3>
note: the red line is for first equation as well as the green line is for second equation and the black dot is the coordinates of the solutions of x and y
Answer:
full answer below
Step-by-step explanation:
x^2 - x - 6 = 0
<=> x^2 - 3x + 2x - 6 = 0
<=> x(x-3) + 2(x-3) = 0
<=> (x-3)(x+2) = 0
<=> x= 3 or x = 2