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coldgirl [10]
3 years ago
6

Rearrange the equation so u is the independent variable. -12u+13=8w-3 w= ___

Mathematics
2 answers:
Rama09 [41]3 years ago
5 0

Answer:

w = \frac{-12u+16}{8}

Step-by-step explanation:

Reverse the equation placing w on the left side

8w - 3 = - 12u + 13 ( add 3 to both sides )

8w = - 12u + 16 ( divide both sides by 8 )

w = \frac{-12u+16}{8}


suter [353]3 years ago
5 0

Answer:

w = \frac{4-3u}{2}

Step-by-step explanation:

Given equation,

-12u + 13 = 8w - 3

For making u is as an independent variable we need to isolate w,

Add 3  on both sides,

-12u + 13 + 3 = 8w

-12u + 16 = 8w

Divide both sides by 8,

\frac{-12u+16}{8}=w

\frac{4(-3u+4)}{8}=w

\frac{-3u+4}{2}=w

\implies w = \frac{4-3u}{2}

Which is the required equation.

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Walk fifty meters at 30o north or east from the old oak tree. (2) Turn 45o to your left (you should now be facing 75o north of e
saw5 [17]

Answer:

A straight line of approximately 75 meters, 1.4º north

Step-by-step explanation:

Hi, let's make it step by step to make it clearer

1) If we walk 50 meters in 30º angle Northeast, assuming the Old Oak tree is the point 0,0 and we're dealing with vectors in R^{2}. To say 30º Northeast is 30º clockwise (or 60º counter clockwise).

2) Then there was a the turning point to the left. If I turn to the left, on my compass 45º , I'll face 75º northeast.

3) Finally, the last vector leads to the treasure from the Old Oak Tree, i.e. the resultant.

So, let's calculate the norm which is the length of the each vector.

1) Graphing them we can find the points, then the components and then calculate the norm, the length of each vector.  

Since the Oak Tree is on (0,0). The turning point (50,86.61) and the Rock (R=(1.4,74,85) we can write the following vectors:

\vec{u}=\left \langle 50,86.61 \right \rangle\\\vec{v}=\left \langle -48.6,-11.76\right \rangle\\\vec{w}=\left \langle 1.4,74.85 \right \rangle

Now, let's calculate each vector length by calculating the norm.

\left \| \vec{u} \right \|=\sqrt{50^{2}+86.6^2}=100\\\left \| \vec{v} \right \|=\sqrt{(-48.6)^2+(-11.76)^2}=50\\\left \| \vec{u} \right \|=\sqrt{(1.4)^2+(74.85)^2}=74.86

The path is almost 75 meters. And since it is less than 15º degrees to the left of the North (or to the right) its direction is still north of the Old Oak Tree.

8 0
3 years ago
Jose and Maris work for different car dealerships. Jose earns a monthly salary of $3,500 plus a 6% commission on his sales, x. M
aev [14]

Answer: d.3,500 + 0.06x > 4,000 + 0.04x

Step-by-step explanation:

Hi, to answer this question we have to write each inequality:

Jose earns a monthly salary of $3,500 plus a 6% commission on his sales, x.

So, his monthly earnings must be equal to the sum of the fixed monthly salary ($3500) plus the product of the number of sales (x) and the commission percentage in decimal form (divided by 100):

So:

Jose’s earnings: 3,500 + x (6/100)

Jose’s earnings: 3,500 + 0.06x

Maris earns a monthly salary of $4,000 plus a 4% commission on her sales.

So, her monthly earnings must be equal to the sum of the fixed monthly salary ($4000) plus the product of the number of sales (x) and the commission percentage in decimal form (divided by 100):

Maris’ earnings: 4000+ x (4/100)

Maris’ earnings: 4000+ 0.04 x

Since Jose's earnings must be greater than Maris' earnings

3,500 + 0.06x >4000+ 0.04 x

4 0
3 years ago
63x 54 my table parner asked this question to see how this website works
natita [175]
<span>63 * 54 is equal to 3402

If you need any help, write me a message.</span>
4 0
3 years ago
Read 2 more answers
Please help???? Geometry
Musya8 [376]
Any line can be expresses as:

y=mx+b where m=slope=(y2-y1)/(x2-x1) and b=y-intercept (value of y when x=0)

First find the slope:

m=(2-0)/(8-0)=2/8=1/4 so we have thus far:

y=0.25x+b, we solve for b using any point on the line, (8,2)

2=0.25(8)+b

2=2+b 

0=b

So the line is:

y=.25x  which they might also express as y=x/4

The answer is E. (1/4)x


6 0
3 years ago
Read 2 more answers
Triangle Z W X is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right
sashaice [31]

Answer:

b = 9.1units

Step-by-step explanation:

Find the diagram attached

Using the similarity theorem of triangle

WX/XZ = WY/WX

Substitute;

b/a+5 = 6/b

b² = 6(a+5) ... 1

Also according to pythagoras theorem on triangle WYX;

b² = 6²+a²...2  

Equate 1 and 2

6(a+5) = 6²+a²

6a+30 = 36 + a²

a²-6a+36-30 = 0

a²-6a+6 = 0

a = 6±√36+4(6)/2

a = 6±√60/2

a = 6±7.745/2

a = 13.745/2

a = 6.8725

Recall that

b² = 6²+a²

b² = 36+6.8725²

b² = 83.2313

b = 9.12units

b = 9.1units

3 0
3 years ago
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