MATHEMATICS HIGH SCHOOL

Find the equation of the line that contains the point ( - 1. - 4) and is parallel to the line 2x + 3y = 5

Answers

Answer 1
Answer:

Answer:

Answer: 2x+3y=-14

Y needs to be changed in order to maintain parallelism

Good luck!

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What can go into 36 and 15

1+5=12 2+10=24 3+15=36 5+25=

Answers

5+25=48 becase you add 12 each time

Determine whether the events are independent or dependent: selecting a jellybean and then choosing a second jellybean without replacing the first jellybean

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It is independent because picking one jelly bean does not affect picking another one.

The endpoints of AB are A(4, 2) and B(1,-2). What are the coordinates of the midpoint of AB?
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Answers

Answer:

Step-by-step explanation:

How do you find the midpoint of A and B?

To calculate it:

Add both "x" coordinates, divide by 2.

Add both "y" coordinates, divide by 2.

Final answer:

The coordinates of the midpoint of the line segment with endpoints A(4, 2) and B(1, -2) are found by averaging the corresponding x- and y-coordinates of the endpoints. This yields a midpoint of (2.5, 0)

Explanation:

The coordinates of the midpoint of the line segment with endpoints A(4, 2) and B(1, -2) can be determined by the midpoint formula. The midpoint formula states that the x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints, and the y-coordinate of the midpoint is the average of the y-coordinates of the two endpoints.

Therefore, the x-coordinate of the midpoint is:

(x1 + x2) / 2 = (4 + 1) / 2 = 2.5

and the y-coordinate of the midpoint is:

(y1 + y2) / 2 = (2 + -2) / 2 = 0

Hence, the coordinates of the midpoint of AB are (2.5, 0).

Learn more about Midpoint Formula here:

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A line is drawn through (–4, 3) and (4, 3). Which describes whether or not the line represents a direct variation?The line represents a direct variation because = .
The line represents a direct variation because it is horizontal.
The line does not represent a direct variation because it does not go through the origin.
The line does not represent a direct variation because –4(3) ≠ 4(3).

Answers

The line does not represent direct variation because it does not go through the origin. In fact, it happens to be a horizontal line whose equation is : y = 3.

A line y= k x, represents a direct variation if , k=(y)/(x)

As,line passes through (-4,3) and (4,3).

Equation of line passing through two points is,  

(y-3)/(x+4)=(3-3)/(4+4)\n\n y-3=0

Given by the formula: (y-y_(1))/(x-x_(1))=(y_(2)-y_(1))/(x_(2)-x_(1))

As, the line does not pass through origin , so the line passing through (-4,3) and (4,3) does not represent direct variation.

Option (C)=The line does not represent a direct variation because it does not go through the origin.

A line that passes through the point (–1, 3) has a slope of 2. Find another point on the line.

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Hello,

Equation is
y-3=2(x+1)
or
y=2x+5

An other point : if x=0 y= 5 is (0,5)

The area of a circular sun spot is growing at a rate of 600 km2/sec. (a) How fast is the radius growing at the instant when it equals 4,000 km?

Answers

14 sec becauseIn 2sec=600In4 sec=1200In6 sec =1800In 8sec =2400In10 sec=3000In12sec=3600In 14sec=4000In 14seconds it covers 4000
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