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3 years ago

Indicate in standard form the equation of the line passing through the given points. P(6, 2), Q(8, -4)

1 answer:

8 0

If you solve it into point-slop form, the equation is y = -3x + 20, then put into standard form is 3x + y = 20. That's your answer.

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18. Find the value of x that makes the equation true.

IgorC [24]

Step-by-step explanation:

✧ $\large{ \tt{ \: \frac{1}{2} x + 2 = \frac{3}{2} x - 6}}$

We need to get rid of the fractions. Notice that there are 4 terms in the equation. Multiply both sides of the equation by 2 to get rid of the fractions. Multiply by 2 because 2 is the denominator.

⤑ $\large{ \tt{2( \frac{1}{2} x + 2) = 2( \frac{3}{2} x - 6)}}$

⤑ $\large{ \tt{x + 4 = 3x - 12}}$

Subtract 4 from both sides in order to isolate the variable on the left.

⤑ $\large{ \tt{x + 4 - 4 = 3x - 12 - 4}}$

⤑ $\large{ \tt{x = 3x - 16}}$

Move 3x to left hand side and change it's sign

⤑ $\large {\tt{x - 3x = - 16}}$

Subtract 3x from 1x

⤑ $\large{ \tt{ - 2x = - 16}}$

Divide both sides of the equation by -2

⤑ $\large{ \tt{ \frac{ - 2x}{ - 2} = \frac{ - 16}{ - 2}}}$

⤑ $\large{ \tt{x = 8}}$

$\boxed{ \boxed{ \underline{ \tt{Our \: Final \: Answer : \boxed{ \underline{ \tt{x = 8}}}}}}}$

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6 0

3 years ago

Need 3 and 4 for those who are up to the task

Nikolay [14]

Answer:

x = 18.4

y = 35º

Step-by-step explanation:

cos∅ = adj/hyp

cos49 = x/28

28cos49 = x

x = 18.4

tany = opp/adj

tany = 19/27

y = arctan19/27

y = 35º

6 0

3 years ago

Dinner came out of the oven at 7:15 P.M. after baking for 30 minutes. What time was dinner put into the oven?

spin [16.1K]

Answer:

6:45

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin. Devin’s friend Andy lives 7 blocks east and 2 block north o

My name is Ann [436]

Answer:

≈11.4

Step-by-step explanation:

We know that, Ryan lives 2 blocks west and 5 blocks south of Devin

=> Coordinate of Ryan: (-2,-5). Because:

2 blocks west = 2 unit to the left = -2

5 blocks south = 5 unit go down= -5

Andy lives 7 blocks east and 2 block north of Devin.

=>Coordinate of Andy: (7,2), because:

7 blocks east = 7 unit ti the right = 7

2 block north = 2 unit go up = 2

Hence, to find out the distance of Ryan and Andy, we use distance formula as below:

$\sqrt{(2+5)^{2} + ((7+2)^{2} }$ ≈11.4

3 0

3 years ago

Read 2 more answers

HELP PLEASEEEE it’s due in 10 minutes

lana [24]

Answer:

24.187

Step-by-step explanation:

7 0

3 years ago