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2 years ago

10 points AND BRAINLIEST EASY QUESTION MUST BE DONE IN 10 MIN OR LESS. NO TROLL ANSWERS

Mathematics

1 answer:

Ad libitum [116K]2 years ago

3 0

Answer:

Initial Value=15

Rate of change=15/10=1.5

Equation: y=1.5x+15

Step-by-step explanation:

y=ax+b

y=1.5x+b

15=1.5(0)+b

b=15

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Solve the following system: y = x 3 4x y = 18 (6, 3) (3, 6) (â’3, 6) (3, â’6).

Nastasia [14]

The solution of the given equation is (3,6). The correct option is B.(3,6)

<h3>Given equations,</h3>

$y=x+3.......(1)\\4x+y=18.....(2)$

<h3>How to solve the equations?</h3>

putting the value of y from equation (1) in equation (2) , we get

$4x+x+3=18\\$ $5x=18-3\\5x=15\\x=3$

substitute the value of x=3 in equation (1) we get,

$y=3+3\\y=6$

Hence, the solution of given equation is (3,6).

So, the correct option is B.

For more details about the system of equations, follow the link:

brainly.com/question/12895249

4 0

2 years ago

Evaluate the surface integral:S

rjkz [21]

Assuming $S$ does not include the plane $z=0$ , we can parameterize the region in spherical coordinates using

$\mathbf r(u,v)=\left\langle3\cos u\sin v,3\sin u\sin v,3\cos v\right\rangle$

where $0\le u\le2\pi$ and $0\le v\le\dfrac\pi/2$ . We then have

$x^2+y^2=9\cos^2u\sin^2v+9\sin^2u\sin^2v=9\sin^2v$
$(x^2+y^2)=9\sin^2v(3\cos v)=27\sin^2v\cos v$

Then the surface integral is equivalent to

$\displaystyle\iint_S(x^2+y^2)z\,\mathrm dS=27\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^2v\cos v\left\|\frac{\partial\mathbf r(u,v)}{\partial u}\times \frac{\partial\mathbf r(u,v)}{\partial u}\right\|\,\mathrm dv\,\mathrm du$

We have

$\dfrac{\partial\mathbf r(u,v)}{\partial u}=\langle-3\sin u\sin v,3\cos u\sin v,0\rangle$
$\dfrac{\partial\mathbf r(u,v)}{\partial v}=\langle3\cos u\cos v,3\sin u\cos v,-3\sin v\rangle$
$\implies\dfrac{\partial\mathbf r(u,v)}{\partial u}\times\dfrac{\partial\mathbf r(u,v)}{\partial v}=\langle-9\cos u\sin^2v,-9\sin u\sin^2v,-9\cos v\sin v\rangle$
$\implies\left\|\dfrac{\partial\mathbf r(u,v)}{\partial u}\times\dfrac{\partial\mathbf r(u,v)}{\partial v}\|=9\sin v$

So the surface integral is equivalent to

$\displaystyle243\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv\,\mathrm du$
$=\displaystyle486\pi\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv$
$=\displaystyle486\pi\int_{w=0}^{w=1}w^3\,\mathrm dw$

where $w=\sin v\implies\mathrm dw=\cos v\,\mathrm dv$ .

$=\dfrac{243}2\pi w^4\bigg|_{w=0}^{w=1}$
$=\dfrac{243}2\pi$

4 0

3 years ago

Solve the quadratic equation below for the exact values of x:<br> 4x^2-5=75

grandymaker [24]

Step-by-step explanation:

$4 {x}^{2} - 5 = 75 \\ 4 {x}^{2} = 75 + 5 \\ 4 {x}^{2} = 80 \\ {x}^{2} = \frac{80}{4} \\ {x}^{2} = 20 \\ x = \pm \sqrt{20} \\ x = \pm 2 \sqrt{5}$

6 0

3 years ago

The figure shows a BD is 90° split by the Line BC the measure of ABC is X degrees in the measure of DBC is 3X +10° what is the v

dmitriy555 [2]

X=20° is your answer

Step-by-step explanation:

X+3x+10°=90°

4x+10°=90°

4x=(90-10)°

X=80/4

X=20°

4 0

2 years ago

Please help<br> I will give 100 points

horsena [70]

Answer:

FGE = 180 - (14 + 78)°

= 88°

so angle GEC = 88°

4x + 88 = 180

4x = 180 - 88

4x = 92

x = 92/4

= 23

Step-by-step explanation:

4 0

2 years ago

10 points AND BRAINLIEST EASY QUESTION MUST BE DONE IN 10 MIN OR LESS. NO TROLL ANSWERS​

10 points AND BRAINLIEST EASY QUESTION MUST BE DONE IN 10 MIN OR LESS. NO TROLL ANSWERS