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kodGreya [7K]
3 years ago
9

1/3x+y=9, -2x+2y= -6... what is x and y, using the substitution method?

Mathematics
1 answer:
Klio2033 [76]3 years ago
6 0
1/3x + y = 9
y = -1/3x + 9

-2x + 2y = -6
-2x + 2(-1/3x + 9) = -6
-2x - 2/3x + 18 = -6
-6/3x - 2/3x = -6 - 18
-8/3x = -24
x = -24 * -3/8
x = 9 <== here is y

-2x + 2y = -6
-2(9) + 2y = -6
-18 + 2y = -6
2y = -6 + 18
2y = 12
x = 12/2
x = 6 <=== here is x


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Yes the graph will show a proportional relationship
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What is the quotient of 2 minus the square root of 8 divoded by 4 plus the square root of 12?
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8 0
4 years ago
I need help with this ​
Troyanec [42]

Answer:

235

Step-by-step explanation:

to get 235 first you get your #'s  

# 1= 90

#2= 90

#3= 55

Add!

90

90

55

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235

6 0
3 years ago
At 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at
ioda

Answer:

203 feet.

Step-by-step explanation:

Please find the attachment.

Let h represent the height of the building.

We have been given that at 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at an angle about 35 degrees above the horizontal.    

We know that tangent relates opposite side of a right triangle to its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

Upon substituting our given values in above formula, we will get:

\text{tan}(35^{\circ})=\frac{h}{290}

290*\text{tan}(35^{\circ})=\frac{h}{290}*290

290*0.70020753821=h

h=290*0.70020753821

h=203.0601860809

h\approx 203

Therefore, the building is approximately 203 feet high.

 

3 0
4 years ago
Solve for x in the diagram below​
Galina-37 [17]

Answer:

x=20

Step-by-step explanation:

3x+80+2x=180(being linear pair)

5x=180-80

x=100/5

x=20

3x=3*x  =3*20  =60

2x=2*x  =2*20  =40

5 0
3 years ago
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