4852 <img src="https://tex.z-dn.net/?f=4852%20%20-%20758" id="TexFormula1" title="4852 - 758" alt="4852

Lena [83]

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.

6 0

4 years ago

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Write an equation that is perpendicular to and 3x+y=3 whose y-intercept 5. Anyone please help me, no link just explain how to do

Liula [17]

Answer:

$y = \frac{1}{3}x + 5$

Step-by-step explanation:

By definition, two lines are perpendicular if and only if their slopes are negative reciprocals of each other: $m = - \frac{1}{m_{2} }$ , or equivalently, $m_{1} * m_{2} = -1$ .

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 $\frac{1}{3}$ .

To test whether this is correct, we can take first slope, $m_{1} = -3$ , and multiply it with the negative reciprocal slope $m_{2} = \frac{1}{3}$ :

$m_{1} * m_{2} = -1$

$-3 * \frac{1}{3} = -1$

Therefore, we came up with the correct slope for the other line, which is $\frac{1}{3}$ .

Finally, the y-intercept is given by (0, 5). Therefore, the equation of the line that is perpendicular to 3x + y = 3 is:

$y = \frac{1}{3}x + 5$

7 0

3 years ago

Both angle A & B are supplementary. If angle A is x and angle B is 3x, then what is x equal to AND what does angle B equal?

ryzh [129]

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

7 0

3 years ago

Curve fitting is a methode of finding

wel

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.

3 0

3 years ago

What are the roots of the equation x^2+4x-16=0

iogann1982 [59]

OK so you need to use the quadratic formula with a=1, b=4, c=-16.
 
 −b±√b^2−4ac 
x= ------------------ 
 2a  

 −(4)±√(4)^2−4(1)(−16) 
x= -----------------------------
 2(1)   
 
  −4±√80 
x= ---------------
 2 

Your final answer is: x=−2+2√5 or x=−2−2√5

6 0

3 years ago

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