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Solnce55 [7]
3 years ago
12

Solve the equation 14y+82=6x-20 for x if y is 25

Mathematics
1 answer:
Leni [432]3 years ago
8 0

Answer:

x= 226/3 or 75.33333333333333333333333333333

Step-by-step explanation:

14y+82=6x-20

y=25

Sub y=25 into 14y+82=6x-20

14y+82=6x-20

14(25)+82=6x-20

Calculate as follows:

14(25)+82=6x-20

350+82=6x-20

432=6x-20

Add twenty to both sides:

432+20=6x-20+20

452=6x-0

452=6x

Divide both sides by 6

452=6x

452/6=6x/6

452/6=x

x= 226/3 or 75.33333333333333333333333333333

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Write an equation in slop intercept form (y=mx+b) for the line that has a slope (m) of 12 and passes though the point (3,20)
navik [9.2K]

Answer:

y=12x-4

Step-by-step explanation:

To find the slope intercept form, we know the m(slope) but we need to find b.

y and x is given to us, so we can find b.

Plug in the numbers provided into the slope intercept form.

y=mx+b

20=(12)(2)+b

20=24+b

To find b, we have to get b by itself. So, we subtract both sides by 24.

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Now that we found b, we can plug this into the equation.

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3 0
2 years ago
The midpoint of AB is M(3,3). If the coordinates of A are (2,-8), what are the coordinates of B?
Lyrx [107]

Step-by-step explanation:

MID POINT =[(X1 +X2)/2 , (Y1 +Y2)/2]

WE KNKW THAT A(2,–8) AND THE MID POINT IS (3,3)

SUBSTITUTING INTO THE EQUATION ABOVE

(3,3) = [(2+ X2)/2 ,(–8+ Y2)/2]

EQUATING THE X COORDINATES

=> 3 = (2+ X2)/2 (CROSS MULTIPLY)

=> 6 = 2 + X2

X(subscript 2)= 4

EQUATING THE Y COORDINATES

=> 3 =(–8 +Y2)/2 (CROSS MULTIPLY)

6 = –8 +Y2

=> Y(subscript 2)= 14

THEREFORE THE COORDINATES OF B ARE (4 ,14)

hope this helps :)

4 0
3 years ago
Tara used 8 centimeters of tape to wrap 4 presents. How many presents did Tara wrap if she used 10 centimeters of tape?
Akimi4 [234]

Answer:

She wrapped 5 presents

Step-by-step explanation:

She used 2cm to wrap each present

8cm = 4x

x is the amount of presents

divide by 4

x= 2 cm

Given 10 cm, divide by 2 to determine amount of x, or presents

7 0
3 years ago
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