1: Plot the graph of the equation 2x-3y=6 and 2x+y=-10 and intercept the result.

Answers

Answer 1

Answer: To graph the equations, rewrite the equations written in standard form to slope-intercept form of the equation.

$y=mx+b\n\n 2x-3y=6\n 2x+y=-10 \n\n3y= 2x- 6\ \ / :3\n y=-2x-10 \n\ny= (2)/(3)x- 2 \n y=-2x-10$

$Answer : \n \nThe \ lines \ intersect \ when \ x = -3 \ and \ y = -4$

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Demonstrate using your own unique example how to divide a segment by a given ratio.

Answers

To find the point P that divides a segment AB into a particular ratio, determine the ratio k by writing the numerator over the sum of the numerator and the denominator of the given ratio. Next, find the rise and the run (slope) of the line. Finally, add (k. the run) to the x-coordinate of A and add

Anthony has a part-time job. He decides to save $10 for every $50 that he spends. Final question: If Anthony saved $60, how much money did he earn?

Answers

Answer:

300$

Step-by-step explanation:

If he save 10 for every 50, you just divide. 60/10 = 6. He saved 6 times, if each time he saves he has 50 extra dollars, 6 * 50 = 300 because 6*5 = 30 and there is a extra 0 so 30 and 0 is 300

Find the derivative of f(x) = negative 9 divided by x at x = -8.

Answers

The derivative given in the question is
f(x) = - 9 /x
When x = -8, then
f(-8) = 9/8
The negative sign on the right hand side gets cancelled out. From the above deduction, it can be easily concluded that the answer is 9/8. I hope that this is the answer that you were looking for and the answer has actually come to your desired help.

I need help finding the most specific name for the quadrilateral

Answers

square, rectangle, rhombus

identify an equation in point-intercept form for the line parallel to y = -3x + 7 that passes through (2, -4)

Answers

Let's organize.
The question says to identify an equation in point-intercept form for the line that's parallel to y = -3x + 7 that passes through (2, -4).

If you need to find an equation in point-intercept form that passes through a point, you will substitute the coordinate in this formula:

-> y - yo = m (x - xo)

Where:

(2, -4) -> xo = 2 ; yo = -4
m = Slope

You don't have the slope, but you have the information that the line is parallel to y = -3x + 7. Then you need to know that to a line be parallel to another the Slopes of each other must be equal, mr = ms.

Let's find the slope of the equation given, it is in a slope-intercept form, so:

y = mx + b

R: y = -3x + 7 // I will call this one R line, and the other S.

mr = -3

If the mr = ms, and mr = -3, then the ms = -3 too.

S: y - yo = ms (x - xo) // (2, -4) & ms = -3

-> y - (-4) = -3 (x - 2)
-> S: y + 4 = -3 (x - 2) -> This is the point-slope form.

-> y = -3x + 6 - 4
-> S: y = -3x - 2 -> This is the slope-intercept form.

I didn't understand what is the point-intercept form that the question requests, but by logic, i think that's the point-slope form.

Answer: The equation in point-intercept form is: y + 4 = -3 (x - 2).

Write 1.4888.. in form of p/q

Answers

Let x = 1.4888... .

Then 10x = 14.888... and 100x = 148.888..., so that

100x - 10x = 148.888... - 14.888...

90x = 147

x = 147/90 = 49/30

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