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horsena [70]
3 years ago
13

What is Y=3x^2+6x+10 in vertex form.

Mathematics
1 answer:
Nuetrik [128]3 years ago
7 0

Answer:

y=3(x+1)^2+7

Step-by-step explanation:

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Laura says that the distance between (4,-2) and (4,-7) in the coordinate plane is equal to |-2-(-7)|units Ryan say that the dist
son4ous [18]

Answer:

Both are correct.

Step-by-step explanation:

In the point (4,-2) and (4,-7), the x-coordinates are same. So, the distance between these points is the absolute difference between the y-coordinates of these points.

Distance=|-2-(-7)|=5\text{ units}

So, Laura is correct.

In the point (2,3) and (-9,3), the y-coordinates are same. So, the distance between these points is the absolute difference between the x-coordinates of these points.

Distance=|2-(-9)|=|2+9|=11\text{ units}

So, Ryan is correct.

Hence, both are correct.

3 0
3 years ago
Use Stokes' theorem to evaluate ∬S(∇×F)⋅dS where F(x,y,z)=−3yzi+3xzj+14(x2+y2)zk and S is the part of the paraboloid z=x2+y2 tha
Usimov [2.4K]

Stokes' theorem says the integral of the curl of \vec F over S is equal to the integral of \vec F along the boundary of S, with counterclockwise orientation (when viewed from above). This boundary is the circle x^2+y^2=1 set in the plane z=1.

Parameterize this path by

\vec r(t)=\cos t\,\vec\imath+\sin t\,\vec\jmath+\vec k

with 0\le t\le2\pi. Then

\displaystyle\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S=\int_{\partial S}\vec F\cdot\mathrm d\vec r

=\displaystyle\int_0^{2\pi}(-3\sin t\,\vec\imath+3\cos t\,\vec\jmath+14\,\vec k)\cdot(-\sin t\,\vec\imath+\cos t\,\vec\jmath)\,\mathrm dt

=\displaystyle3\int_0^{2\pi}\mathrm dt=\boxed{6\pi}

4 0
3 years ago
120 yrs equals how many inches? Show work.
MakcuM [25]

Answer:

4320

Step-by-step explanation:

there are 36 inches in a yard so 120 times 36

8 0
3 years ago
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Help me!!! please!!! ​
Lelu [443]
What do you need help with?
7 0
3 years ago
Help please I’m begging u
skad [1K]

Answer:

Step-by-step explanation:

if ∠1=∠2

2x+12=3x+3

3x-2x=12-3

x=9

∠1=2×+12=30°

∠2=30°

∠VXW=30+30=60°

8 0
3 years ago
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