MATHEMATICS MIDDLE SCHOOL

What are the slope, m, and y-intercept, (0, b), of the line described bythe equation 3x + 6y=12?
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anation in
I have no idea how to do this I need help

Answers

Answer 1
Answer:

Answer:

\large \boxed{m = -(1)/(2);\text{ y-intercept = 2}}}

Step-by-step explanation:

The slope-intercept form of an equation is

y = mx + b, where

m = the slope and

b = the y-intercept

We must solve your equation for y.

It will then be in the slope-intercept form.

\begin{array}{rcll}3x + 6y  & = & 12 & \n6y & = & 12 - 3x & \text{Subtracted 3x from each side}\ny&= &2 -(1)/(2)x& \text{Divided each side by 3}\n\mathbf{y} &= & \mathbf{-(1)/(2)x + 2}& \text{Rearranged terms}\n\end{array}\n\n\large \boxed{\mathbf{m = -(1)/(2);\textbf{y-intercept = 2}}}

The diagram below shows the equation of your graph with m = -½ and the y-intercept at (0, 2)

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Find the error Jacob is finding the slope of the line that passes through x(0,2) and y(4,3).circle his mistake and correct it.

laurel went swimming 7 times in 3 weeks. one time she swam for 1 1/2 hours. The other 6 times she swam for 30 minutes each time. How many hours did Laurel swim in 3 weeks?

Answers

She swam 12 hours in 3 weeks.

1. Find the slope and the y-intercept of the equation 4x + 5y = -9.2. Find the slope and the y-intercept of the equation y − 3(x − 1) = 0.

3. If a line with a slope of -2 crosses the y-axis at (0, 3), what is the equation of the line?

Answers

Answer:

1. The slope is -4/5 and the y-intercept is (0, -9/5).

2. The slope is 3 and the y-intercept is (0,3).

3. The line is y=-2x+3.

Step-by-step explanation:

To find the slope and y-intercept, convert the equation to y=mx+b where m=slope and b=y-intercept.

1. Convert the equation by rearranging the terms using inverse operations.

4x+5y=-9                             Subtract 4x to both sides.

-4x            -4x

------------------------------------

     5y= -9 -4x                       Divide both sides by 5.

       y= -9/5 - 4/5x

This is now in y=mx+b and m=-4/5 and b=-9/5.


2. Convert the equation by rearranging the terms using inverse operations.

y - 3(x-1)=0                             Add 3(x-1) to both sides.

   +3(x-1)      +3(x-1)

------------------------------------

            y = 3(x+1)                  Multiply 3 into the parenthesis.

            y = 3x+3

This is now in y=mx+b and m=3 and b=3.


3. Write the equation of a line using point slope form

y-y_1=m(x-x_1).

This becomes y-3=-2(x-0)\ny-3 = -2 (x)\ny-3 = -2x\ny= -2x+3

Here m =-2 and b=3.

The probability that james will win two races in the next two days is 1/8 for tomorrow and 1/10 for the day after tomorrow. What is P(win tomorrow, then win the day after tomorroww)?

Answers

Answer:

\text{P(win tomorrow, then win the day after tomorrow)}=(1)/(80)[\tex]</p><p><strong>Step-by-step explanation:</strong></p><p><strong>Given : </strong> The probability that James will win two races in the next two days is 1/8 for tomorrow and 1/10 for the day after tomorrow.</p><p><strong>To find :</strong>  What is P(win tomorrow, then win the day after tomorrow)?</p><p><strong>Solution :</strong></p><p>Probability of winning two races in the next two days is</p><p><strong>For tomorrow - </strong> [tex](1)/(8)

For day after tomorrow - (1)/(10)

According to question :

Probability of win tomorrow, then win the day after tomorrow is given by multiple of probability of tomorrow and day after tomorrow.

i.e,

\text{P(win tomorrow, then win the day after tomorrow)}=\text{P(tomorrow)}* \text{P(day after tomorrow)}

\text{P(win tomorrow, then win the day after tomorrow)}=(1)/(8)* (1)/(10)

\text{P(win tomorrow, then win the day after tomorrow)}=(1)/(80)
1/80 because 1/8 times 1/10 equals 1/89

Need help, thank you! How does the poet use figurative language to portray the violets?

~~She uses the violets as a symbol of death and decay because they last such a short time.

~She describes the violets in great detail, especially the great variety in their sizes.

~~She criticizes the violets because they represent spring, a season she misses terribly.

~She personifies the violets, giving the flowers human qualities.


Poem: On Arranging a Bowl of Violets

by Grace Hazard Conkling



I dip my hands in April among your faces tender,

O woven of blue air and ecstasies of light!

Breathed words of the Earth-Mother—although it is November—

You wing my soul with memories adorable and white.


I hear you call each other: “Ah, Sweet, do you remember

The garden that we haunted—its spaces of delight?

The sound of running water—the day’s long lapse of splendor,

The winds that begged our fragrance and loved us in the night?”

Answers

She personifies the violets, giving the flowers human qualities. 

She says that "I hear you call each other: “Ah, Sweet, do you remember"
She gives them the human like quality of speech.

Hope this helps :)

Three vertices of a rectangle are (–3, 4), (5, 4), and (5, –2). 

What are the coordinates of the fourth vertex of the rectangle? 

         A. (–3, –4)                                               

        B. (–3, –2)                                               

     C. (5, –3)      

       D. (5, 2)

Answers

A =(-3, 4), \ \ B= (5, 4),\ \ C= (5, -2)\n \n The \ slope \ of \ AB : \n \n \n m= (y_(2)-y_(1))/(x_(2)-x_(1) ) = (4-4)/(5+3)=(0)/(8)=0\n \n The \ slope \ of \ CB :\n \n m= (y_(2)-y_(1))/(x_(2)-x_(1) ) = (5-5)/(-2-4)=0

The \ slope \ of \ lines \ parallel \ is \ the \ same \n \nTo \ find \ the \ coordinates \ of \ the \ fourth \ vertex, \ add \ the \ coordinates \n of \ A \ and \ C \ together, \ and \ subtract \ the \ coordinates \ of \ B. \n \n The \ fourth \ vertex \ is: (-3+5-5; 4-2-4) = (-3, -2) \n \n Answer: \ B. \ \ (-3, -2)

 
 
The rectangle doesn't necessarily have to be standing up straight or laying down flat
on the graph.  It could be tilted ... leaning.  Dealing with those coordinates would be
a nightmare, and since you're in Middle School and just learning this stuff, we can be
pretty sure that the rectangle in this problem is straight on the graph.

If we think about it for a second, and visualize a rectangle in our mind, we realize that:

-- Both top corners have the same y-coordinate.
-- Both bottom corners have the same y-coordinate.
-- Both corners on the left side have the same x-coordinate.
-- Both corners on the right side have the same x-coordinate.

The first two points given in the question are ( -3, 4) and (5, 4).

-- They have the same y-coordinate, so they must be either the top
or the bottom two corners.

-- We also know right away that the left side of the rectangle is at x = -3
and the right side of the rectangle is at x = 5 .

Now look at the third given point ... (5, -2) . 

-- Its x-coordinate is 5 so we know it's a corner on the right side.

-- But we already had one corner on the right side ... the point at (5, 4).
This new one is lower.

-- So now we know that (5, 4) was the upper right corner, (-3, 4) was the
upper left corner, and this new point is the lower right corner.

All we're missing is the lower left corner.

We know now that the left side is at x = -3 and the right side is at 5 .
We also know now that the top is at y = 4 and the bottom is at y = -2 .

So the bottom left corner is (-3, -2).  That's choice - 'B' .

4x+8=7 I got -1/4 but don't know if you drop the negative when dividing

Answers

4x+8=7
You minus 8 from each side
4x=-1
Divide -1 by 4x
The answer is - (1)/(4) or -.25
You leave the negative
If there is only one negative number(-1 being the case here) then its negative
If there are two negatives, its a positive
If there are two positive numbers, its positive
4x+8=7\ \ \ \ | subtract\ 8\n\n4x=-1\ \ \ \ | divide\ by\ 4\n\nx=-(1)/(4)\n\nSolution\ is\ x=-(1)/(4).
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