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mezya [45]
3 years ago
8

Solve for x. Explain each step you took to solve this question. 30 (9x-3)

Mathematics
1 answer:
lapo4ka [179]3 years ago
3 0
I believe the answer would be X=7
It’s been a little bit
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HELLPPP!!!! also please explain so i don’t have to ask again :(
shusha [124]
Tan(theta)=opposite/adjacent
Tan(31)=x/10
(Tan(31))10=x
X=6.0086
8 0
3 years ago
(1 point) (a) Find the point Q that is a distance 0.1 from the point P=(6,6) in the direction of v=⟨−1,1⟩. Give five decimal pla
natima [27]

Answer:

following are the solution to the given points:

Step-by-step explanation:

In point a:

\vec{v} = -\vec{1 i} +\vec{1j}\\\\|\vec{v}| = \sqrt{-1^2+1^2}

    =\sqrt{1+1}\\\\=\sqrt{2}

calculating unit vector:

\frac{\vec{v}}{|\vec{v}|} = \frac{-1i+1j}{\sqrt{2}}

the point Q is at a distance h from P(6,6) Here, h=0.1  

a=-6+O.1 \times \frac{-1}{\sqrt{2}}\\\\= 5.92928 \\\\b= 6+O.1 \times \frac{-1}{\sqrt{2}} \\\\= 6.07071

the value of Q= (5.92928 ,6.07071  )

In point b:

Calculating the directional derivative of f (x, y) = \sqrt{x+3y} at P in the direction of \vec{v}

f_{PQ} (P) =\fracx{f(Q)-f(P)}{h}\\\\

            =\frac{f(5.92928 ,6.07071)-f(6,6)}{0.1}\\\\=\frac{\sqrt{(5.92928+ 3 \times 6.07071)}-\sqrt{(6+ 3\times 6)}}{0.1}\\\\= \frac{0.197651557}{0.1}\\\\= 1.97651557

\vec{v} = 1.97651557

In point C:

Computing the directional derivative using the partial derivatives of f.

f_x(x,y)= \frac{1}{2 \sqrt{x+3y}}\\\\ f_x (6,6)= \frac{1}{2 \sqrt{22}}\\\\f_x(x,y)= \frac{1}{\sqrt{x+3y}}\\\\ f_x (6,6)= \frac{1}{\sqrt{22}}\\\\f_{(PQ)}(P)= (f_x \vec{i} + f_y \vec{j}) \cdot \frac{\vec{v}}{|\vec{v}|}\\\\= (\frac{1}{2 \sqrt{22}}\vec{i} + \frac{1}{\sqrt{22}} \vec{j}) \cdot   \frac{-1}{\sqrt{2}}\vec{i} + \frac{1}{\sqrt{2}} \vec{j}

4 0
3 years ago
When the equation is graphed is it linear or nonlinear ??
Keith_Richards [23]

Answer:

Nonlinear

Step-by-step explanation:

This is nonlinear because its parent function is y = x^{2}. The parent function of a linear equation is y = x.

I hope this helps :))

8 0
3 years ago
Read 2 more answers
Weekly wages at a certain factory
shtirl [24]
Where is the question
6 0
3 years ago
Joshua's family took a road trip to Mount Rushmore. Joshua fell asleep 35% of the way through the trip. If the total length of t
stiks02 [169]
You need to calculate 35% of 400.

The way I do this on paper is I split it up into chunks and then add the chunks together.

First I would calculate 10%. To do this, divide 400 by 10, because to get from 100% to 10% you must divide by 10.

So 10% = 40

You need 30%, so you just multiply by 3, because to get from 10% to 30%, you multiply by 3.

So 30% = 120

5% is half of 10% so half of 40 is 20.

So 5% = 20

30% + 5% = 35%

120 + 20 = 140

So they had traveled 140 miles when Joshua fell asleep. Hope this helps :)
4 0
3 years ago
Read 2 more answers
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