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matrenka [14]
3 years ago
15

Given the functions f(x)=7x-2 amd g(x)=3x+6, find the value of x for which F(x)=g(x)

Mathematics
2 answers:
Ivahew [28]3 years ago
6 0

Answer:

Step-by-step explanation:

Hello,

f(x)=g(x)

<=> 7x-2=3x+6

<=> 7x-3x=6+2

<=> 4x=8

<=> x = 2

thanks

AveGali [126]3 years ago
3 0
7x-2 = 3x+6
4x = 8
x = 2
When x=2 f(x)=g(x)
Check:
f(2) = 7(2)-2 = 14-2 = 12
g(2) = 3(2)+6 = 6+6 = 12
12 = 12 :. f(2) = g(2)
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The distance between both lines is 2.24 units

Step-by-step explanation:

There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.

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The formula for finding distance of a point (x,y) from a line is:

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d=\frac{|(2)(1)+(-1)(2)+5|}{\sqrt{(2)^2+(-1)^2}}\\d=\frac{|2-2+5|}{\sqrt{4+1}}\\d=\frac{|5|}{\sqrt{5}}\\d=\frac{5}{\sqrt{5}}\\d=2.236\ units

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Keywords: Equations of lines

Learn more about distance in lines at:

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3 years ago
❗❗❗❗HELP❗❗❗❗
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