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Nina [5.8K]
3 years ago
9

Write an equation of a line that passes through the point (2, 3) and is parallel to the line y = 3 over 2 x +5.

Mathematics
1 answer:
Oliga [24]3 years ago
8 0
We have that

<span>Write an equation of a line that passes through the point (2, 3) and is parallel to the line y = (3/2)x +5

parallel lines are the same slope
then
m=(3/2)

step 1

find the equation of a line with
m=3/2  and point (2,3)

y-y1=m*(x-x1)----------> y-3=(3/2)*(x-2)------> y=(3/2)x

the answer is
y=(3/2)x
</span><span>y = 3 over 2 x

see the attached figure</span>

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14. Solve: (a) 2y - 1/2 = -1/3 (b) 6 + 5 (a - 1) = 30
Strike441 [17]

A)2y - 1/2 = -1/3

2y=-1/3+1/2

FIND THE LCM TO MAKE THE FRACTIONS LIKE FRACTIONS

LCM OF 3 AND 2 IS 6

-1/3*2=-2/6

1/2*3=3/6

-2/6+3/6=1/6

2y=1/6

y=1/6 ÷ 2

TAKING THE RECIPROCAL,

RECIPROCAL OF 2 IS 1/2

y=1/6*1/2

y=1/12

B) 6 + 5 (a - 1) = 30

6+(5)*(a)+(5)*(−1)=30(Distribute)

6+5a+−5=30

(5a)+(6+−5)=30(Combine Like Terms)

5a+1=30

5a=30-1

5a=29

a=29/5

15.sum of three consecutive integers=48

let the numbers be x ,x+1,x+2

x+x+1+x+2==48

3x+3=48

3x=48-3

3x=45

x=45/3

x=15

x+1=15+1=16

x+2=15+2=17

the numbers are 15,16,17

​​  

7 0
3 years ago
Simplify: (3^5)^2 / 3^-2<br><br><br>A) 3^10<br><br>B) 3^9<br><br>C) 3^12<br><br>D) 3^8
lesya [120]

Answer:

C

Step-by-step explanation:

(3^5)^2= 59049 divided

(3)^-2 = 0.11111111

531441 = 3^12

5 0
3 years ago
Read 2 more answers
NEED THESE ANSWERS FAST
vladimir2022 [97]

Answer:

1) m=2/9; y-intercept= 17/3

2) m=7 ; y-intercept= 22

3) m= -2/11 ; y-intercept= 100/11

4) m= 13/19 ; y-intercept= -53/13

Step by Step Explanation:

Use the slope formula to find the slope m.

6 0
3 years ago
3x+2y=8 how to solve
GarryVolchara [31]
8-3x
Divide the whole thing by 2 so it would be y=4-1.5x
6 0
3 years ago
Your deposit $1000 in an account that earns 2.5% annual interest. Find the balance after 2 years if the interest compounds with
BaLLatris [955]

Answer:

34%

Step-by-step explanation:

3+3+3+3+3+3+3+35%

8 0
2 years ago
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