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Effectus [21]
3 years ago
14

Write an equation of the line graphed in slope-intercept form using the variables x and y.

Mathematics
1 answer:
seraphim [82]3 years ago
6 0

Answer:

y = -0.5x + 5

Step-by-step explanation:

To find the slope you can look at the graph at tell that the line goes down 2 and to the right 1. It looks like this in fraction form -1/2. If we divide -1 by -2 we get -0.5. This is a downward slope so the slope is negative. The y-intercept is where the line intercepts the y-axis which is 5. Slope-intercept form is y = mx + b.

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Evaluate the line integral, where c is the given curve. c y3 ds,
postnew [5]
Parameterizing \mathcal C by

\mathbf r(t)=(t^3,t)

with 0\le t\le2, we have

\mathrm ds=\|\mathbf r'(t)\|\,\mathrm dt=\sqrt{(3t^2)^2+1^2}\,\mathrm dt=\sqrt{9t^4+1}\,\mathrm dt

So

\displaystyle\int_{\mathcal C}y^3\,\mathrm ds=\int_{t=0}^{t=2}t^3\sqrt{9t^4+1}\,\mathrm dt
=\displaystyle\frac1{36}\int_0^236t^3\sqrt{9t^4+1}\,\mathrm dt
=\displaystyle\frac1{36}\int_{u=1}^{u=145}\sqrt u\,\mathrm du
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5 0
3 years ago
What is the N in the question: 4.5 = N - 2.51
harina [27]
N= 7.01 :D I’m pretty sure that’s the answer :)
3 0
3 years ago
Read 2 more answers
How do you write 70% as a fraction in simplest form ?
alexdok [17]
70% equals to 70/100 in fraction form.
But, you need to write it in simplest form. so, divide both of them from 10 'cause they both can divide completely by it.
70/100 = 7/10
so, your answer is 7/10
3 0
3 years ago
Find the area of the following rectangle​
lorasvet [3.4K]

Answer: x+8

Step-by-step explanation:

4 0
3 years ago
49 is 35% of what number?
NNADVOKAT [17]
We write this like this:

49=35%x

and we want to find the x.

let's invert the sides:

35%x=49.


35 is equal to 0.35

0.35*x=49

and now we only divide both sides by 0.35:

x=140

so the answer is 140.

(aternatively we can do it through fractions:

35/100*x=49
divide both sides by 7:

5/100*x=7

simplify the first fraction
1/20*x=7

and multiply by 20:

x=140
4 0
3 years ago
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