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lions [1.4K]
2 years ago
6

Which is true of point H at (3, –1)? A. Point H is above the x-axis. B. Point H is to the right of the y-axis. C. Point H is to

the left of the y-axis. D. Point H is 3 units from the origin.
Mathematics
1 answer:
Bess [88]2 years ago
3 0
B. point H is to the right of y axis
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given y>0 and dy/dx=(3x^2+4x)/yif the point (1,√10) is on the graph relating x and y, then what is y when x=0
jonny [76]
\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{3x^2+4x}y\iff y\,\mathrm dy=(3x^2+4x)\,\mathrm dx
\implies\displaystyle\int y\,\mathrm dy=\int(3x^2+4x)\,\mathrm dx
\implies \dfrac12y^2=x^3+2x^2+C

When x=1 you have y=\sqrt{10}, so

\dfrac12(\sqrt{10})^2=1^3+2(1)^2+C\implies 5=1+2+C\implies C=2

and so the particular solution to the ODE is

\dfrac12y^2=x^3+2x^2+2

Then when x=0, you get

\dfrac12y^2=0^3+2(0)^2+2=2
\implies y^2=4
\implies y=2

where we omitted the negative root because it's given that y>0.
4 0
3 years ago
What is the function rule for this question?
Lemur [1.5K]
To calculate the remaining number of teams, use the sequence formula:
a(n) = a(1)Rⁿ-¹
Where a(n) and a(1) are the nth and first terms. R is the factor. Therefore, 24 teams is valid value.
After 5 rounds :
a(5) = 128*(½)⁴
a(5) = 128/16 = 8

8 teams are remained.

6 0
3 years ago
A farmer owns about 960 acres of land. If his farm is square, what would be the length of each side in miles, to the nearest ten
OLEGan [10]

It is given in the question that

A farmer owns about 960 acres of land. If his farm is square.

First we convert acres to miles square, and the conversion expression is

1 acre=0.0015625 mi^2

Therefore,

960acres=960*0.0015625=1.5 mi^2

Let the side length of the square be x miles .

And the formula of area of square is

Area=side^2
\\
1.5=side^2
\\
side= \sqrt{1.5}=1.2 miles

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2 years ago
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mylen [45]
1 is for circle
2 is for triangle
3 is for surface area
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5 0
3 years ago
How do I graph {3,1,-1,-3}​
nalin [4]
This is very sloppy but u hope it helps
6 0
3 years ago
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