Find the equation of a line parallel to −5x+y=2 that contains the point (5,−2). Write the equation in slope-intercept form.

Mathematics

1 answer:

mario62 [17]2 years ago

5 0

Answer:

L2: y-0 = 5/2(x-5)

y = 5/2x-25/2

Step-by-step explanation:

Parallel lines have same slopes.

Line 1, L1: 5x-2y=20 is in standard form Ax+By=C therefore slope m1= -A/B = -5/-2 = 5/2 or you can solve it for y so you will have the equation in slope-intercept form.

5x-2y = 20

-2y = -5x+20

y = (-5/-2)x+20/(-2)

y = (5/2)x-10 hence m1=5/2 and y-intercept is -10

Line 2 , L2: y-y1 = m (x-x1), m=m2=m1=5/2

Point p(5,0) or p(x1,y1) therefore x1=5 , y1=0 and m=5/2

L2: y-0 = 5/2(x-5)

y = 5/2x-25/2

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HELP MEEE!!!

DiKsa [7]

Answer:

Step-by-step explanation:

since the data is already arranged in ascending to descending u don't have to change.

upper quartile (Q3) = 3(n + 1)/4 (n means no of data)

=3(10 + 1)/4

=3*11/4

=33/4

=8.25

=8 th term + 0.25(9 th term - 8 th term)

=11 + 0.25(13 - 11)

=11 + 0.25*2

=11 + 0.5

=11.5

8 0

2 years ago

Suppose f(x)=2^x. What is the graph of g(x)=1/3f(x)?

svetlana [45]

Please see the blue curve of the image attached below to know the graph of the function g(x) = (1/3) · 2ˣ.

<h3>How to graph a transformed function</h3>

Herein we have an original function f(x). The transformed function g(x) is the result of compressing f(x) by 1/3. Then, we find that g(x) = (1/3) · 2ˣ. Lastly, we graph both function on a Cartesian plane with the help of a graphing tool.

The result is attached below. Please notice that the original function f(x) is represented by the red curve, while the transformed function g(x) is represented by the blue curve.

To learn more on functions: brainly.com/question/12431044

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