Answer:
x=-7
Step-by-step explanation:
Alrighty. 5x+8=2x-13. Lets do -2x on both sides. We'll get 3x+8=-13. Then lets subtract 8 from both sides. We'll get 3x=-21. Divide by 3 and we'll get x=-7. Hope that makes sense.
Answer:

Step-by-step explanation:
By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other:
, or equivalently,
.
Given our linear equation 3x + y = 3 (or y = -3x + 3):
We can find the equation of the line (with a y-intercept of 5) that is perpendicular to y = -3x + 3 by determining the negative reciprocal of its slope, -3, which is
.
To test whether this is correct, we can take first slope,
, and multiply it with the negative reciprocal slope
:


Therefore, we came up with the correct slope for the other line, which is
.
Finally, the y-intercept is given by (0, 5). Therefore, the equation of the line that is perpendicular to 3x + y = 3 is:

Answer:
A= 45 degrees
And angle B= = 135 degrees
Step-by-step explanation:
Supplementary means that the sum of both angles is equal to 180 degrees.
< A= x
< B= 3x
<a+<B= 180
x+3x= 180
4x= 180
x= 180/4
x= 45
Therefore angle A= 45 degrees
And angle B= 3x= 3*45= 135 degrees
The method of least squares is a widely used method of fitting curve for a given data
Step-by-step explanation:
It is the most popular method used to determine the position of the trend line of a given time series. The trend line is technically called the best fit. ... The sum of the deviations of y from their corresponding trend values is zero.
<em>OK so you need to use the quadratic formula with </em><u><em>a=1, b=4, c=-16.</em></u><span>
<em> </em>
<em> </em><u><em>−b±√b^2−4ac </em></u>
<u><em>x= </em></u><em>------------------ </em>
<em> </em><u><em> 2a </em></u></span><span><u><em> </em></u>
<em> </em><u><em>−(4)±√(4)^2−4(1)(−16) </em></u>
<u><em>x= </em></u><em>-----------------------------</em>
<em> </em><u><em>2(1) </em></u></span><span><u><em> </em></u><em> </em>
<em> </em>
<em> </em><u><em> −4±√80 </em></u>
<u><em>x= </em></u><em>---------------</em>
<em> </em><u><em> 2 </em></u>
</span><em>Your final answer is: </em><span><u><em>x=−2+2√5 or x=−2−2√5</em></u></span>