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rewona [7]
3 years ago
10

What is 8x+4y=24 in slope intercept form.

Mathematics
2 answers:
Vikentia [17]3 years ago
7 0
Y=-2x+12 is slope intercept form. -2 is the slope and 12 is the y intercept
sergeinik [125]3 years ago
5 0

Answer:

Slope: 2y- int: −6

Explanation:

We can easily find the slope and

y -intercept of this line by converting it to slope intercept form

y=mx + b, with slope m and a

y- intercept of b.

Let's subtract

8x

from both sides to get

−4y=−8x+24

Next, we divide all terms by

−4 to get y=2x−6

Now that our equation is in this form, we see that our slope is

2, and our y -intercept is −6.

-Hope this helps you

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Find the exact length of the curve. x=et+e−t, y=5−2t, 0≤t≤2 For a curve given by parametric equations x=f(t) and y=g(t), arc len
Rama09 [41]

The length of a curve <em>C</em> parameterized by a vector function <em>r</em><em>(t)</em> = <em>x(t)</em> i + <em>y(t)</em> j over an interval <em>a</em> ≤ <em>t</em> ≤ <em>b</em> is

\displaystyle\int_C\mathrm ds = \int_a^b \sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2} \,\mathrm dt

In this case, we have

<em>x(t)</em> = exp(<em>t</em> ) + exp(-<em>t</em> )   ==>   d<em>x</em>/d<em>t</em> = exp(<em>t</em> ) - exp(-<em>t</em> )

<em>y(t)</em> = 5 - 2<em>t</em>   ==>   d<em>y</em>/d<em>t</em> = -2

and [<em>a</em>, <em>b</em>] = [0, 2]. The length of the curve is then

\displaystyle\int_0^2 \sqrt{\left(e^t-e^{-t}\right)^2+(-2)^2} \,\mathrm dt = \int_0^2 \sqrt{e^{2t}-2+e^{-2t}+4}\,\mathrm dt

=\displaystyle\int_0^2 \sqrt{e^{2t}+2+e^{-2t}} \,\mathrm dt

=\displaystyle\int_0^2\sqrt{\left(e^t+e^{-t}\right)^2} \,\mathrm dt

=\displaystyle\int_0^2\left(e^t+e^{-t}\right)\,\mathrm dt

=\left(e^t-e^{-t}\right)\bigg|_0^2 = \left(e^2-e^{-2}\right)-\left(e^0-e^{-0}\right) = \boxed{e^2-\frac1{e^2}}

5 0
2 years ago
is this a alternate interior angle, corresponding angle, vertical angle, supplementary angle or linear pair?
Vika [28.1K]
That’s a vertical angle
4 0
2 years ago
Read 2 more answers
One warehouse had 185 tons of coal, another one had 237 tons. The first warehouse delivered 15 tons of coal to its clients daily
lianna [129]

Answer:

In 9 days will the second warehouse have 1.5 times more coal than the first one

Step-by-step explanation:

The coal left in warehouses after x days can be found using the equation:

  • first warehouse: 185 - 15x
  • second warehouse= 237-18x

Let the second warehouse have 1.5 times more coal than the first one after n days then  

  1. 1.5 ×(185 - 15n)=237-18n  which gives:
  2. 277,5-22,5n=237-18n and
  3. 40,5=4,5n
  4. 9=n

7 0
3 years ago
What is the mode of the set numbers?: 8, 9, 2, 12, 12, 10, 14, 14, 5​
Maksim231197 [3]
The number 12 and 14 are the modes .
8 0
2 years ago
A grid shows the positions of a subway stop and your house. The subway stop is located at (7, -6) and your house is located at (
Yuri [45]

So the distance between subway stop and house is 19 units

Step-by-step explanation:

The distance formula will be used to calculate the distance between home and subway.

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Here (x1,y1) are the coordinates of first point

and

(x2,y2) are the coordinates of second point

Given

(x1,y1) = (7, -6)

(x2,y2) = (-9,5)

Putting the values in the formula

d=\sqrt{(-9-7)^2+(5-(-6))^2} \\=\sqrt{(-16)^2+(5+6)^2} \\=\sqrt{256+(11)^2}\\=\sqrt{256+121}\\=\sqrt{377}\\=19.41\ units

Rounding off to nearest unit gives us 19.

So the distance between subway stop and house is 19 units

Keywords: Distance, distance formula

Learn more about distance at:

  • brainly.com/question/1859222
  • brainly.com/question/1993757

#LearnwithBrainly

6 0
3 years ago
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