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algol13
3 years ago
15

What is the slope of this line?

Mathematics
2 answers:
tresset_1 [31]3 years ago
7 0

Answer:

hi this must be it im sure ..... 1/4

MrMuchimi3 years ago
3 0

We can use the coordinates (-4, 5) and (0, 6) to find the slope.

Slope Formula: \frac{y2-y1}{x2-x1}

Solve: \frac{6 - 5}{0 - (-4)} = \frac{1}{4}

The slope of the line is \Large\boxed{\mathsf{1/4}}

Written in slope-intercept form: y = 1/4x + 6

Hope This Helped! Good Luck!

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Solve the system of equations 5x+9y+9z=5 4x+9y+6z=10 2x+2y+5z=9
erma4kov [3.2K]

Answer:

{x,y,z} = {-116,28,37}

Step-by-step explanation:

// Solve equation [3] for the variable  z  

 

 [3]    5z = -2x - 2y + 9

 [3]    z = -2x/5 - 2y/5 + 9/5

__________________________________________________________

// Plug this in for variable  z  in equation [1]

  [1]    5x + 9y + 9•(-2x/5-2y/5+9/5) = 5

  [1]    7x/5 + 27y/5 = -56/5

  [1]    7x + 27y = -56

__________________________________________________________

// Plug this in for variable  z  in equation [2]

  [2]    4x + 9y + 6•(-2x/5-2y/5+9/5) = 10

  [2]    8x/5 + 33y/5 = -4/5

  [2]    8x + 33y = -4

__________________________________________________________

// Solve equation [2] for the variable  y  

 

 [2]    33y = -8x - 4

 [2]    y = -8x/33 - 4/33

__________________________________________________________

// Plug this in for variable  y  in equation [1]

  [1]    7x + 27•(-8x/33-4/33) = -56

  [1]    5x/11 = -580/11

  [1]    5x = -580

__________________________________________________________

// Solve equation [1] for the variable  x  

  [1]    5x = - 580  

  [1]    x = - 116

__________________________________________________________

// By now we know this much :

   x = -116

   y = -8x/33-4/33

   z = -2x/5-2y/5+9/5

__________________________________________________________

// Use the  x  value to solve for  y  

   y = -(8/33)(-116)-4/33 = 28

__________________________________________________________  

// Use the  x  and  y  values to solve for  z  

 z = -(2/5)(-116)-(2/5)(28)+9/5 = 37

╦────────────────────────────╦

│Hope this helped  _____________________│    

│~Derelis ____________________________ │

╨___________________________________╨                  

4 0
3 years ago
Prove that :-<br><br> Cos3A-cosA/sin3A-sinA+cos2A-cos4A/sin4A-sin2A=sinA/cos2Acos3A
ad-work [718]
\dfrac{\cos^3A-\cos A}{\sin^3A-\sin A}+\dfrac{\cos^2A-\cos^4A}{\sin^4A-\sin^2A}=\dfrac{\sin A}{\cos^2A\cos^3A}\\\\L_s=\dfrac{\cos A(\cos^2A-1)}{\sin A(\sin^2A-1)}+\dfrac{\cos^2A(1-\cos^2A)}{\sin^2A(\sin^2A-1)}\\\\=\dfrac{\cos A(-\sin^2A)}{\sin A(-\cos^2A)}+\dfrac{\cos^2A\sin^2A}{\sin^2A(-\cos^2A)}\\\\=\dfrac{\sin A}{\cos A}-1=\tan A-1

R_s=\dfrac{\sin A}{\cos A\cos^4A}=\dfrac{\sin A}{\cos A}\cdot\dfrac{1}{\cos^4A}=\tan A\cdot\dfrac{1}{\cos^4A}=\dfrac{\tan A}{\cos^4A}


\boxed{L_s\neq R_s}
8 0
2 years ago
You were shopping for a Christmas present. You found the item on sale for 20% off. Tax is 8%. If the original price was $450, ho
klio [65]

Answer:

Cost\ of\ gift=\$ 388.8

Step-by-step explanation:

Original Price=\$450

Discount:

Discount=20\%

20\%\ of\ 450=\frac{20}{100}\times 450=90\\\\Discounted\ Price=450-90=\$360

Tax:

Tax=8\%

8\%\ of\ 360=\frac{8}{100}\times 360=28.8\\\\Final\ cost=360+28.8=\$388.8

4 0
3 years ago
What is greater 6 km or 6100 cm
Slav-nsk [51]
The answer to this question is 6 km

4 0
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A bag contains 7 red marbles, 3 blue marbles and 5 green marbles. If three marbles
worty [1.4K]

Answer:

3.7%

Step-by-step explanation:

We know that from this situation, the probability of drawing a single green marble is 1/3. However, to find the probability of drawing 3 green marbles, we will need to do:

P= \frac{1}{3}* \frac{1}{3}*\frac{1}{3}

We get a probability of:

P= \frac{1}{27}

This converts to a percentage of:

\frac{1}{27}= 0.037 \\ 0.037*100= 3.7%

We get a percentage of 3.7%

8 0
2 years ago
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