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ser-zykov [4K]
3 years ago
9

If x+3/3=y+2/3, then x/3= A) y/3 B)y-1 C)y/2 D)y+1

Mathematics
1 answer:
Vlada [557]3 years ago
4 0

Answer:

y/2

Step-by-step explanation:

x+3=y+2

------  --------

3          2

Using cross products

2(x+3) = 3(y+2)

Distribute

2x+6 = 3y+6

Subtract 6 from each side

2x+6-6 = 3y+6-6

2x= 3y

Divide each side by 2

2x/2 = 3y/2

x = 3/2 y

We want to find x/3

Divide each side by 3

x/3 = 3/2 y * 1/3

x/3 = 1/2 y

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find an equation for the perpendicular bisector of the line segment whose endpoints are (-8,-5) and (-4,1)
lbvjy [14]

Answer:

y = -x - 8

Step-by-step explanation:

Midpoint of the line:

x = (x1 + x2)/2 = (-8 + -4)/2 = -12/2 = -6

y = (y1 + y2)/2 = (-5 + 1)/2 = -4/2 = -2

so midpoint is (-6,-2)

Slope of the line: Slope m = (y2-y1)/(x2-x1)

m = (-1 - -5)/(-4 - -8) = (-1 + 5)/(-4 + 8) = 4/4 = 1

Perpendicular lines have slopes that are negative reciprocals of one another

so slope of the perpendicular line is -1/1 is -1

y = mx + b

y = -x + b

Using (-6,-2)

-2 = -(-6) + b

-2 = 6 + b

b = -8

so y = -x - 8

6 0
3 years ago
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Which is the approximate measure of angle Y? Use the law of sines to find the answer.
vitfil [10]
Siny/2.7=sin63/2.8

siny=2.7sin63/2.8

y=arcsin((2.7sin63)/2.8)

y≈59.23°  (to nearest one-hundredth of a degree)
8 0
3 years ago
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For each pair of similar figures, find the ratio of the area of the first figure to the area of the second.
Hitman42 [59]

answer:

\frac{4}{9}


explanation:

the area of the larger square is 36 (6*6), and the area of the smaller square is 16 (4*4). to find the ratio of the area, simply just put 16 over 36 and simplify.

\frac{16}{36} = \frac{4}{9}

--

if this helped, please consider giving brainliest !

7 0
2 years ago
Do the ratios 10/8 and 16/20 form a proportion<br><br> Yes or no?
ziro4ka [17]

Answer:

No. Reduce 10/8 by dividing by 2. 10/8= 5, 8/2= 4. 10/8= 5/4. Reduce 16/20 by dividing by 4. 16/4= 4 , 20/4= 5. 16/20= 4/5.

6 0
3 years ago
(6-7i)+(5+4i)= (simplified)
GarryVolchara [31]

Answer:

11-3i

Step-by-step explanation:

6-7i+5+4i=6+5-7i+4i=11-3i

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3 years ago
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