Help me please i will mark brainliest if correct

Mathematics

1 answer:

aksik [14]3 years ago

8 0

Answer:

-11

8 = 2x + 30

8 - 30 = -22

-22 ÷ 2 = -11

x = -11

Also if you place 2×(-11) + 30 you get 8

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Find the equation of line parallel to y=-2x+1 and passing through the point (2,4)

SOVA2 [1]

Answer:

$y=-2x+8$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)
Parallel lines always have the same slopes

1) Determine the slope (m)

$y=-2x+1$

The given line has a slope of -2. Because parallel lines always have equal slopes, we know that the line parallel to this would also have a slope of -2. Plug this into $y=mx+b$ :

$y=-2x+b$

2) Determine the y-intercept (b)

$y=-2x+b$

Plug in the given point (2,4) to solve for b

$4=-2(2)+b\\4=-4+b$

Add 4 to both sides to isolate b

$4+4=-4+b+4\\8=b$

Therefore, the y-intercept of the line is 8. Plug this back into $y=-2x+b$ :

$y=-2x+8$

I hope this helps!

5 0

2 years ago

Calculate the median 5,10,12,4,6,11,13,5

damaskus [11]

For this case, we have by definition that, the median of a set of numbers is the average number in the set, after the numbers have been ordered from lowest to highest. If there is an even number in the set, the median is the average of the two middle numbers.

So, the given set is:

{4,5,5,6,10,11,12,13}

Since there are 8 numbers, the set is even. Then we find the average of the two numbers in the middle:

$\frac {6 + 10} {2} = \frac {16} {2} = 8$