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mojhsa [17]
2 years ago
9

Plz I need some help with 11-12 . My teacher didn’t even explain it correctly so now I’m confused.

Mathematics
1 answer:
rusak2 [61]2 years ago
6 0

Answer:

Step 1: Transpose everything to one side

12. x²+16x+15-10x+4=0

Step 2: Add the like terms

x² + (16x - 10x) + 15 + 4=0

x² + 6x + 19=0

Step 3: Use the quadratic formula to get the value(s) of x.

a=1 b=6 c=19

x =  \frac{ - b +  -  \sqrt{b {}^{2} - 4ac }  {}^{} }{2a}

therefore, x=... or x

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Use cylindrical coordinates. find the volume of the solid that is enclosed by the cone z = x2 + y2 and the sphere x2 + y2 + z2 =
sashaice [31]
Let R be the solid. Then the volume is

\displaystyle\iiint_R\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta

which follows from the facts that

\begin{cases}x=r\cos\theta\\y=r\sin\theta\\z=\zeta\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=r\,\mathrm dr\,\mathrm d\theta\,\mathrm d\zeta
(by computing the Jacobian)

and

z=x^2+y^2=r^2\implies z+z^2=72\implies z=-9\text{ or }z=8
(we take the positive solution, since it's clear that R lies above the x-y plane)
r^2+z^2=72\implies z=\pm\sqrt{72-r^2}
(again, taking the positive root for the same reason)
z=r^2\implies 8=r^2\implies r=\sqrt8

\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta
=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr
=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}r(\sqrt{72-r^2}-r^2)\,\mathrm dr
=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}(r\sqrt{72-r^2}-r^3)\,\mathrm dr
=\dfrac{32(27\sqrt2-35)\pi}3
7 0
3 years ago
Find the area of the figure.
irina [24]
Where is the figure?
6 0
3 years ago
Name the algebraic property demonstrated in the example below: x • y • z = y • x • z (1 point) distributive property transitive
Lina20 [59]

The correct answer is the commutative property of multiplication. This states that 2 or more numbers can be multiplied in either order.

6 0
3 years ago
Read 2 more answers
Need help please !!!
ehidna [41]

Using SOH CAH TOA

Sin =opposite/hypotenuse

that means opposite=2

Hypotenuse=3

Cos=Adjacent/Hypotenuse

Using Pythagorean theorem

Hyp^2=Opp^2 +Adj^2

3^2 =2^2+adj^2

9=4+adj^2

9-4=adj^2

5=adj^2

Taking the square root of both sides

√5=adj

:: cos=√5/3

5 0
3 years ago
9 -4n+ 3n = 8n + 3 -3
ArbitrLikvidat [17]

Answer:

Answer:

n = 1

Step-by-step explanation:

This equation is just basic alegebra.  First, combine like terms to get

9 - n = 8n.  (Because 3 - 3 = 0, and -4n + 3n = -n.)  Now the equation is much simpiler;  add n to both sides to get 9 = 9n.  Divide 9 by both sides to get that n = 1.  

You can check your answer by plugging 1 in for n.  

9 - 4(1) + 3(1) = 8(1) + 3 - 3

9 - 4 + 3 = 8 + 3 - 3

5 + 3 = 11 - 3

8 = 8

Therefore, n is proven to equal 1.  

Hope this is helpful kid sorry i went very far yesterday hope you can forgive me but Anyways here it is <3

3 0
3 years ago
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