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jolli1 [7]
10 months ago
13

What is the slope of a line that is parallel to –x + 3y = 6 Responses 1/3 StartFragment, 1/3, -1 StartFragment, -1, 3 StartFragm

ent, 3, 6
Mathematics
1 answer:
algol1310 months ago
5 0

The slope of the line parallel to the line  –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

It is given that:

The equation of the line:

–x + 3y = 6

Write the equation in standard form:

y = x/3 + 6/3

y = x/3 + 2

m = 1/3

The slope of the line parallel to the line  –x + 3y = 6

M = 1/3

Thus, the slope of the line parallel to the line  –x + 3y = 6 is a 1/3 option (A) 1/3 is correct.

Learn more about the slope here:

brainly.com/question/3605446

#SPJ1

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PLZZZZZ HELLLLPPPP I NEEEEDDDDDD AAASSSSAAAPPPP<br> reward if u an help me ;)
Igoryamba

Answer:

1. x= -56.25

Expand

19.5-6.5x+36=201-4.5x-33

Simplify

-6.5x+55.5=201-4.5x-33

Simplify again

6.5x+55.5=-4.5x+168

Add 6.5 to both sides

55.5=-4.5x+168+6.5x

Simplify

55.5=2x+168

Subtract

55.5-168=2x

Simplify

112.5=2x

Divide both sides by 2

−112.5÷2 = x

Simplfy

x = -56.25

2. x > -7 ÷ 4

Or

Decimal Form: -1.75

Remove parentheses

12x>4x+5−19

Simplify

12x>4x-14

Subtract

12x-4x>-14

Simplify

8x>-14

Divide both sides by 8

x > -14 ÷ 8

Simplify

x > -7 ÷ 4

Or

Decimal Form: -1.75

3. Answer: Step 2 has an error

Step-by-step explanation:

Given equation,

2(10 - 13x) = -34x + 60

By distributive property,

20 - 26x = -34x + 60

Now, we need to isolate x on the left side of the equation,

For this we need to eliminate constant term from the left side,

20 will be eliminated by subtracting 20 from both sides ( subtraction property of equality )

I.e. Step 2 has an error,

We need to use subtraction property of equality instead of using addition property of Equality,

Note : The correct steps would be,

Step 2 : 20 - 26x = -34x + 60 ( Subtraction property of equality )

Step 3 : 8x = 40  ( addition property of Equality )

Step 4 :  x = 5  (  Division Property of Equality )

Hope this helps!!! Good luck!!! ;)

8 0
3 years ago
Consider a graph of the equation y = −3x + 4. What is the y-intercept?
Murrr4er [49]
Y = -3x + 4
In y = mx + b form, the y intercept will be in the b position.

y = mx + b
y = -3x + 4......so ur y intercept is 4.....or (0,4)

just so u know....in y = mx + b form, the slope will be in the m position....so ur slope would be -3
5 0
3 years ago
Read 2 more answers
What is x2+5x=0? Please show all work!
Alexxandr [17]
X2+5x=0
7x+0
divide both sides by 7
7 divided by 0 is 0
x=0
0=0
7 0
3 years ago
Read 2 more answers
Who is taking in more calories if the small bag of snickers are the exact same size: A person in a group where 5 people are shar
MrRa [10]

Answer:

A person in a group where 5 people are sharing 3 small bags of snickers

Step-by-step explanation:

Let the number of calories in one bag of snickers =x

Number of calories in 3 small bags of snickers =3x

  • If 5 people share 3 small bags of snickers, 1 person's share  =\dfrac{3x}{5}

Number of calories in 2 small bags of snickers =2x

  • If 7 people share 2 small bags of snickers, 1 person's share  =\dfrac{2x}{7}

We then compare the two.

Let x=1

\dfrac{3}{5}=0.6$ calories per person\\\dfrac{2}{7}=0.29$ calories per person

Therefore, a person in a group where 5 people are sharing 3 small bags of snickers gets more calories.

3 0
3 years ago
What is the solution to the inequality
Dvinal [7]

Answer:

p > 5 and p <-8

Step-by-step explanation:

To solve this, you first need to isolate p.

First add 6 on both sides of the equation:

-6 + |2p+3| >7\\\\(+6) -6 + |2p+3| >7 +6\\\\2p + 3 > 13

Then subtract 3 from both sides of the equation.

2p+3-3>13-3\\\\2p > 10\\

The divide both sides by 2.

\dfrac{2p}{2}>\dfrac{10}{2}\\\\p>5

Another solution is possible because of the absolute value.

If |2p+3|>13

Then |2p+3|

<em>Thus we can solve the second solution:</em>

|2p+3|

2p+3

Isolate P again by subtracting both sides by 3

2p+3-3

2p

Then divide both sides by 2:

\dfrac{2p}{2}

p

3 0
3 years ago
Read 2 more answers
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