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Oduvanchick [21]
2 years ago
15

Consider the line 7x+6y=5.

Mathematics
1 answer:
ladessa [460]2 years ago
5 0

Answer:

Slope of parallel line: -7/6

Slope of perpendicular line: 6/7

Step-by-step explanation:

7x + 6y = 5

6y = -7x + 5

y= -7/6x + 5/6

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F(6,2) G(2,4)<br> Write equation in slope intercept form
Ulleksa [173]

Answer:

y = -½x + 5

Step-by-step explanation:

Formula for slope intercept form is y = mx + b

Where m represents the slope and b represents the y intercept

.............................

Solving for m

...........................

m = (y2 - y1)/(x2-x1)

y2 = 4, y1 = 2

x2 = 2, x1 = 6

m = (4-2)/2-6)

m = 2/(-4)

m = -½

.......................

Solving for b

.........................

Using point F(6,2) as reference

y = 2, x = 6, m = -½

if y = mx + b

Substituting 2 for y and 6 for x in the above equation

2 = -½ * 6 + b

2 = -3 + b

2 + 3 = b

5 = b

b = 5

OR

Using Point G(2,4) as reference

y = 4, x = 2, m = -½

if y = mx + b

Substituting 4 for y and 2 for x in the above equation

4 = -½*2 + b

4 = - 1 + b

4+1 = b

5 = b

b = 5

.............................................

Finally, we have to write the equation in slope form

Using y = mx + b

where m = -½ and b =5 ................ (Calculated)

y = -½x + 5

8 0
3 years ago
Rearrange to make x the subject of 4(x-3)/a=y
IrinaVladis [17]

Answer: x = a*y + 3

Step-by-step explanation:

To make x the subject of the equation, first, we open the bracket

4x - 12/a = y

Then cross multiply:

4x - 12 = a * y ( a*y means the product of the two variables)

Add 12 to both sides of the equation

4x = a*y + 12

Divide both sides by 4 to get the value of x

x = a * y + 12/4

x = a*y + 3

I hope this helps.

4 0
3 years ago
4 - 2(x-4)/ 3= 3(2x+5)/2<br>pls answer fast​
adell [148]

Answer:

-21/22

Step-by-step explanation:

1.Apply fraction cross multiply

2. Simplify

3.Expand

4.Subtract 24 from both sides

5.simplify

6. Subtract 18x form both sides

7.Simpiify, then divide both sides by -22to get answer.

7 0
2 years ago
How to solve x9+y10=4
Taya2010 [7]

Answer:

if you meant 9x+10y=4 then the x intercepts are (4/9,0) and the y intercepts are (0,2/5).

Step-by-step explanation:

5 0
2 years ago
24+82 rounding or compatible numbers to estimate the sum
allsm [11]

Answer:

106

Step-by-step explanation:

you take 82 and 24 and add them together so it would be like this 2 + 4 = 6 and 8 + 2 = 10 so the 8 is in a tens place so the answer from adding 8 + 2 = 100 because you in the tens place so the final answer would be 106 after adding it all up.

4 0
2 years ago
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