MATHEMATICS MIDDLE SCHOOL

Which is the equation of a line that has a slope of 1/2 and passes through point (2, -3)?

Answers

Answer 1

Answer:

The equation of a line that has a slope of 1/2 and passes through point (2, -3) is 2y - x = -8

The standard equation of a line in slope-intercept form is expressed as:

y = mx + b where:

m is the slope
(x0, y0) is the point on the line

Given the following:

Slope = 1/2

(x0, y0) = (2, -3)

Substitute the given parameters into the formula above:

$y - (-3) = 1/2(x-2)\ny + 3 = 1/2(x-2)\n2(y +3) = x - 2\n2y + 6 = x - 2\n2y -x = -2-6\n2y - x = -8\n$

Hene the equation of a line that has a slope of 1/2 and passes through point (2, -3) is 2y - x = -8

Learn more here: brainly.com/question/21536974

Answer 2

Answer:

So for this, I will be making the equation using the slope-intercept form, which is y=mx+b (m = slope, b = y-intercept).

Since we have the slope, 1/2, we can just plug in (2,-3) into the equation and solve for b as such:

$-3=(1)/(2)*2+b\n -3=1+b\n -4=b$

Putting everything together, our equation is y = 1/2x - 4.

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What other ways can you write down 23 dozens of thousands ?

Answers

23 dozens of thousands is nothing but: 23 x 12 x 1,000

So 23 dozens of thousands can be written as:

276,000
2.76 x 10^5
200,000 + 70,000 + 6,000

A math teacher drove by a playground that was full of boys and dogs. The teacher happened to notice that there was a total of 40 heads and 100 feet. How many boys and how many dogs were there?

Answers

There were 30 boys and 10 dogs. 40 heads all together . Then each boy has 2 feet so thats 30*2 = 60 and each dog has 4 feet thats 10*4 = 40 60+40=100 feet

~~~15 POINTS~~~
Please help me with this question.

Answers

Divide the actual building's measurements by the replica's measurements.

$(400)/(20)=20\n\n(320)/(16)=20$

The measurements of the actual building are divided by 20 not 12.
The crew member's calculation is incorrect.

Whats 27h divided by 3h in standard form

Answers

27h / 3h = (9 x3h) / (1x3h) = 9

That would be 9h, because since we don't know what h equals to, we'll just divide normally and 27 divided by 3 is 9, so now we add the variable to substitute the unknown number. ;-)

Greg is buying a bike on a payment plan. The equation y=20x+600 models the amount he has left to pay, where x is the number of weeks and y is the amount of money owed in dollars. Lin is also buying a bike on a payment plan. The bike costs 500. She will pay 25 each week. Which statement correctly compares Greg's function and Lin's function.

Answers

We can conclude that the amount owned by Greg is greater than that of Lin. Plus, Greg Also took an additional loan of $600. Lin will pay of the debt in x = 20 weeks, but since no data is given for Greg, it is not possible to determine the time it will cost him to return money.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have the following problem -

Greg who is buying a bike on a payment plan. The equation y = 20x + 600 models the amount he has left to pay, where [x] is the number of weeks and [y] is the amount of money owed in dollars. Lin is also buying a bike on a payment plan. The bike costs 500. She will pay 25 each week.

The equation for Greg payment plan -

y = 20x + 600

models the amount he has left to pay, where [x] is the number of weeks and [y] is the amount of money owed in dollars.

Similarly, the equation that represents the money owned by Lin -

y = 500 - 25x

[x] is the number of weeks and [y] is the amount of money remaining to be paid in dollars.

Refer the graph of both situations.

The amount owned by Greg is greater than that of Lin. Plus, Greg Also took an additional loan of $600. Lin will pay of the debt in x = 20 weeks, but since no data is given for Greg, it is not possible to determine the time it will cost him to return money.

Therefore, we can conclude that the amount owned by Greg is greater than that of Lin. Plus, Greg Also took an additional loan of $600. Lin will pay of the debt in x = 20 weeks, but since no data is given for Greg, it is not possible to determine the time it will cost him to return money.

To solve more questions on straight lines, visit the link below-

brainly.com/question/29030795

#SPJ2

Y=20x+25 hope this helps

Find the area of a circle that has a 12 inch radius.

Answers

The area is 452.39Hint : If you know the radius of a circle , you can use it to find the area of what that circle . Just plug that value into the formula for the area of a circle and solve .I hope that's help !

So,

We know the formula for the area of a circle is:

$A=\pi r^2$

All we have to do is to substitute the given value and simplify.

$A=\pi (12)^2$

$A=\pi (144)\ or\ 144\pi$

In numerical form, it would be 452.389342 or approximately 452.4 in.²

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