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LuckyWell [14K]
2 years ago
7

Help help help math math

Mathematics
2 answers:
VashaNatasha [74]2 years ago
8 0
2|x-3|=30
|x-3|=15
x-3=-15
x-3=15
x=-12
x=18
Contact [7]2 years ago
4 0

\frac{2 |x - 3| }{5}  = 6 \\

5 \times  \frac{2 |x - 3| }{5}  = 5 \times 6 \\

2 |x - 3|  = 30

\frac{2 |x - 3| }{2}  =  \frac{30}{2}  \\

|x - 3|  = 15

x - 3 = 15

x - 3 + 3 = 15 + 3

x = 18

<h2>OR</h2>

x - 3 =  - 15

x - 3 + 3 =  - 15 + 3

x =  - 12

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Lelechka [254]
2+2 is 4 LOL you just gotta add 1+1+1+1
4 0
3 years ago
Read 2 more answers
Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.
riadik2000 [5.3K]
<span>First of all to calculate the distance between two points we can use distance formula
   
d=Square Root [(x2-x1)^2 + (y2-y1)^2]
   
Now substitute the given points p(x1,y1) and q(x2,y2)in above distance formula
   
The values are X2=3, X1=8and Y2=8and Y1=2.
   
After Substituting the values
   
d=Square Root[(-5)^2+(6)^2]
   
d=Square Root(25+36]
   
d=Square Root[61]
   
d=7.8
   
7.8 is the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.</span>
7 0
3 years ago
Evaluate the integral e^xy w region d xy=1, xy=4, x/y=1, x/y=2
LUCKY_DIMON [66]
Make a change of coordinates:

u(x,y)=xy
v(x,y)=\dfrac xy

The Jacobian for this transformation is

\mathbf J=\begin{bmatrix}\dfrac{\partial u}{\partial x}&\dfrac{\partial v}{\partial x}\\\\\dfrac{\partial u}{\partial y}&\dfrac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}y&x\\\\\dfrac1y&-\dfrac x{y^2}\end{bmatrix}

and has a determinant of

\det\mathbf J=-\dfrac{2x}y

Note that we need to use the Jacobian in the other direction; that is, we've computed

\mathbf J=\dfrac{\partial(u,v)}{\partial(x,y)}

but we need the Jacobian determinant for the reverse transformation (from (x,y) to (u,v). To do this, notice that

\dfrac{\partial(x,y)}{\partial(u,v)}=\dfrac1{\dfrac{\partial(u,v)}{\partial(x,y)}}=\dfrac1{\mathbf J}

we need to take the reciprocal of the Jacobian above.

The integral then changes to

\displaystyle\iint_{\mathcal W_{(x,y)}}e^{xy}\,\mathrm dx\,\mathrm dy=\iint_{\mathcal W_{(u,v)}}\dfrac{e^u}{|\det\mathbf J|}\,\mathrm du\,\mathrm dv
=\displaystyle\frac12\int_{v=}^{v=}\int_{u=}^{u=}\frac{e^u}v\,\mathrm du\,\mathrm dv=\frac{(e^4-e)\ln2}2
8 0
3 years ago
PLEASE HELP ME WITH THIS THANKS
Lady bird [3.3K]

What is M when R = 200? *

Step-by-step explanation:

6 0
3 years ago
The graph of the function f(x)=−4(x−3)2+9 will be a parabola opening in which direction?
sesenic [268]

Answer:

downwards

Step-by-step explanation:

the equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

• if a > 0 then parabola opens upwards

• if a < 0 then parabola opens downwards

for

f(x) = - 4(x - 3)² + 9 with a = - 4 < 0 , then

the parabola opens downwards

8 0
2 years ago
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