Here is another math question 6/3+(-1/3)

Elodia [21]

Hi, I'm happy to help!

To find the slope, you need to use the slope formula, where m is the slope:

m= $\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }$

Slope means rise over run, or how much the line rises per the amount the line moves forward. This equation shows the movement from the y points to show rise, over the difference in the x points to show run.

Now, to find the slope we insert our values, starting with our second y point:

m= $\frac{2-y_{1 } }{x_{2} -x_{1} }$

Now insert our first y point:

m= $\frac{2-4 }{x_{2} -x_{1} }$

Now we insert our second x point:

m= $\frac{2-4 }{-3 -x_{1} }$

And finally our first x point:

m= $\frac{2-4 }{-3 -3 }$

Now, we solve:

m= $\frac{-2 }{-6}$

So, our slope is -2/-6, to simplify it, we remove both negatives because they cancel each other out.

m= $\frac{2 }{6}$

Now, we simplify our fraction by dividing the top and bottom by 2:

m= $\frac{1}{3}$

So, our slope is 1/3. This means that for every 1 unit the line rises, it goes to the right 3 units. The y-intercept is where the line hits the y axis.

If the question is asking for slope intercept form for the equation, you use y=mx+b

y represents any y coordinate on your line, m represents your slope (1/3), x represents any x coordinate on your line, and b represents your y-intercept (3).

If you were to insert these values, you would get:

y= $\frac{1}{3}$ x+3

You use this to find what a y coordinate would be so you can draw your line.

For the next equation we do the same thing:

m= $\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }$

Insert our values:

m= $\frac{4-1}{2-(-4)}$

Get rid of the double negative:

m= $\frac{4-1}{2+4}$

Solve:

m= $\frac{3}{6}$

Simplify:

m= $\frac{1}{2}$

Now that we know our slope, let's plug it in to our slope intercept form equation.

y= $\frac{1}{2}$ x+3

I hope this was helpful! Keep learning! :D

5 0

3 years ago

a. What is the area and circumference of circle P? Explain how you calculated this answer. b. If the arc measure of arc COD is 1

Vikki [24]

Answer:

a) 9*π or approx 28.26

b) ∡CRB=100°

Step-by-step explanation:

As known for secants crossing each other inside the circle is coorect the following:

BR*RD=AR*RC

=> 3*RD=4*4.5

RD=6

The diameter of the circle with center P is BD=BR+RD=3+6=9

So the radius of the circle is D/2=9/2=4.5

As known the circumference of any circle can be calculated as

C=2*π*r , where r is the circle's radius

So C=2*4.5*π=9*π= approx 3.14*9=28.26

b) ∡CRB=∡ARD= (arcBC+arcAD), where arcBC and arcAD smaller arcs

BD is the circle's diameter, so arc BD=180°

So arcBC=180°-arcCOD=180°-100°=80°

Similarly arcBD=180°

arcAD=180°-arcBSA=180°-60°=120°

∡CRB= (80°+120°)/2=100°

5 0

3 years ago

The price of one gallon of milk has increased from $3.24 to $4.05. What is the percentage increase?

Alisiya [41]

Let initial price be = x = 3.24
final price = y = 4.05
Difference = 4.05 - 3.24
= 0.81
Percentage increase = 0.81 / 3.25 × 100
= 25 %

5 0

3 years ago

Read 2 more answers

Which is the equation of the line that contains the points (-1, -5) and (2,1)

QveST [7]

Answer:

y=2x-3

Step-by-step explanation:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

8 0

2 years ago

Read 2 more answers

The half-life of cobalt-60 (used in

Likurg_2 [28]

Answer:

6.25 gm left

Step-by-step explanation:

Find the number of half lives in 26.3 years

26.3 / 5.26 = 5 half lives

(1/2) ^5 = 1/32 nd of the original will be left

1/32 * 200g = 6.25 gm left

5 0

2 years ago