Answer:
the desired equation is y = x + 4.
Step-by-step explanation:
Slope is defined as m = rise over run. Run is the change (usually an increase) in x, and rise an increase or decrease in y.
We see, in the table, that if x increases from 1 to 6 (a 'run' of 5), y increases from 5 to 10 (a 'rise' of 5). Thus, it's immediately apparent that the slope is m = rise / run = 5 / 5, or just 1.
Using the slope-intercept form of the equation of a straight line, y = mx + b, and the point (1, 5), we calculate b:
5 = 1(1) + b, or b = 4.
Therefore the desired equation is y = x + 4.
Answer:
the probablity of rolling a one is 1/6
Step-by-step explanation:
Degrees measures temperature,
liters measures liquids,
grams measures mass,
cubic centimeters measures volume.
<u>We'll assume the quadratic equation has real coefficients</u>
Answer:
<em>The other solution is x=1-8</em><em>i</em><em>.</em>
Step-by-step explanation:
<u>The Complex Conjugate Root Theorem</u>
if P(x) is a polynomial in x with <em>real coefficients</em>, and a + bi is a root of P(x) with a and b real numbers, then its complex conjugate a − bi is also a root of P(x).
The question does not specify if the quadratic equation has real coefficients, but we will assume that.
Given x=1+8i is one solution of the equation, the complex conjugate root theorem guarantees that the other solution must be x=1-8i.