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monitta
3 years ago
13

Help help help help

Mathematics
1 answer:
arsen [322]3 years ago
3 0

Answer:

1. B

2. D

Step-by-step explanation:

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what is the equation of a line parallel to the line 2x-3y=6 and that passes through the point (-6,12)
Brrunno [24]

Hello from MrBillDoesMath!

Answer:

y =  (2/3)x + 16

Discussion:

Given line:

2x - 3y = 6         =>   add 3y to both sides

2x = 6 + 3y        => subtract 6 from both sides

2x -6 = 3y          => divide both sides by 3

y =(2/3)x - 2  

The slope of this line, m,  (2/3) and any line parallel to the given line has the same slope.  We are looking for the line with slope (2/3) passing through (-6, 12)

y = (2/3)x + b                                => substitute (x,y) = (-6, 12) in the equation

12 = (2/3)(-6) + b                           =>  add (2/3)(6) = 12/3 = 4

12 + 4 = (2/3)(-6) + (2/3)(6) + b     => as (2/3)(-6) + (2/3)(6)  = 0

12 +4 = 0 + b    =>

b = 16

Hence the equation of the parallel line through ( -6,12) is

y = mx + b

  =(2/3)x + 16

Check: is (-6,12) on this line?  Does 12 = (2/3)(-6) + 16 =  -4 + 16 = 12? Yes!

Thank you,

MrB

8 0
3 years ago
Evaluate start fraction 2 over 3 end fractionx for x = three-fourths
Umnica [9.8K]

Answer:

A

Step-by-step explanation:

7 0
3 years ago
Which could be a step used when solving the equation 5x+10=7.5x?
Katarina [22]

Answer:

Putting all the x's to one side.

Step-by-step explanation:

By doing this, you would get:

10 = 2.5x

so,

4 = x

6 0
3 years ago
Read 2 more answers
Find the area of the circle to the nearest tenth. use 3.14 for pie
VikaD [51]
I assume that 4.4 is the diameter,please do correct me if i am wrong.

To get the area of the circle,the formula is 丌r^2

to find the radius,we need ro devide the diameter by 2

thus the equations is
3.14  \times  ({4.4 \div 2})^{2}  \\  = 3.14 \times {2.2}^{2}  \\  = 15.196 \\  = 15.2(correct \: to \: the \: nearest \: tenth)
Therefore the answer is B.15.2

hope it helps!
3 0
4 years ago
Read 2 more answers
There are 16 pieces of fruit in a basket, including 2 nectarines. What is the probability that a randomly selected piece of frui
Ahat [919]

Answer:

1/8

Step-by-step explanation:

P(nectarine) = number of nectarines / total

                       =2/16

                        = 1/8

4 0
3 years ago
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