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Sloan [31]
2 years ago
9

Write an equation of the line passing through point p that is parallel to the given line.

Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
8 0

Answer:

Step-by-step explanation:

y=-3x+13

y = mx + b, where m is the slope and b is the y-intercept.

A line parallel to this line will have the same slope, -3.  We can start by writing:

y = -3x + b

No matter what is chosen for the value of b, this line will be parallel.  We do want the line to go through point (6,10), however.  The way that can be done is to find a value of b that would shift the line to go through (6,10).

Find b by entering the point (6,10) into the equation, and then solve for b:

y = -3x + b

10 = -3(6) + b

10 = -18 + b

b = 28

The line becomes y = 3x + 28

See the attachment.

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let p represent the weight of the oranges!

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PLEASE PLEASE HELP 30 POINTS AND WILL GIVE BRAINIEST
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Answer:

Please read down below, thanks

Step-by-step explanation:

Vertical angles are always equal.

Because the two expression we have are equal, we can make the equation:

4x + 2 = 5x - 13

Let's move x to one side and the constants to the other side.

Subtract both sides by 4x and add both sides by 13

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If a sample size is less than​ ________, the sample size must come from a population having a normal distribution in order to fo
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How many liters of pure water should be mixed with a 18-L solution of 80% acid to produce a mixture that is 90% water?
Sphinxa [80]

126 liters of pure water should be added

<em><u>Solution:</u></em>

Let "x" be the liters of pure water

Then, 18 + x is the liters of final solution

18 Liter solution of 80% acid, which means 100 - 80 = 20 % of water is used

Pure water is 100%

Then according to question, we can say,

"x" liters of pure water 100 % is mixed with a 18 liter solution of 20 % water to produce a mixture (18 + x) liter that is 90 % water

Thus we frame a equation as:

Equation:

water + water = water

x \times 100\% + 18 \times 20 \% = (18+x) \times 90\%

x \times \frac{100}{100} + 18 \times \frac{20}{100} = (18+x) \times \frac{90}{100}\\\\Simplify\ the\ above\ equation\\\\x + 0.2 \times 18 = (18+x) \times 0.9\\\\x + 3.6 = 16.2 + 0.9x\\\\0.1x = 12.6\\\\Divide\ both\ sides\ of\ equation\ by\ 0.1\\\\x = 126

Thus 126 liters of pure water should be added

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