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3 years ago

Find the equation of a line which passes through (2 4) with a slope of ½

Mathematics

1 answer:

Norma-Jean [14]3 years ago

4 0

Answer:

The equation of the straight line is x - 2y +6 =0

Step-by-step explanation:

Explanation:-

Given a point ( 2, 4) and slope m = $\frac{1}{2}$

The equation of the straight line passing through the point and having slope 'm'

y - y₁ = m ( x - x₁)

y - 4 = $\frac{1}{2}$ ( x - 2)

2( y -4) = ( x-2)

2 y - 8 = x -2

x - 2 y - 2 + 8 =0

x - 2y + 6 =0

The equation of the straight line is x - 2y +6 =0

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Solve V = twn for w.

yawa3891 [41]

Answer:

$\boxed{\bold{w \ = \ \frac{v}{nt} }}$

Explanation:

Solve for 'w'

Flip Equation

ntw = v

Divide both sides by 'nt'

ntw / nt = v / nt

w = v / nt

8 0

3 years ago

Read 2 more answers

Themba has 6.75 cups of yoguri and needs to make 5 bowls of fruit dip. Each bowl

rodikova [14]

With 6.75 cups of yogurt , we can make 4 bowls of fruit dip.

Step-by-step explanation:

We have ,Themba has 6.75 cups of yoguri and needs to make 5 bowls of fruit dip. Each bowl uses 1.5 cups of yogurt .

With 1.5 cups of yogurt:

With help of 1.5 cups of yogurt one bowl of fruit dip is made. Now we are left with (6.75 - 1.5 = 5.25) cups of yogurt. Number of bowls of fruit dip = 1.

With another 1.5 cups of yogurt:

With help of 1.5 cups of yogurt one bowl of fruit dip is made. Now we are left with (5.25 - 1.5 = 3.75) cups of yogurt. Number of bowls of fruit dip = 2.

With another 1.5 cups of yogurt:

With help of 1.5 cups of yogurt one bowl of fruit dip is made. Now we are left with (3.75 - 1.5 = 2.25) cups of yogurt. Number of bowls of fruit dip = 3.

With another 1.5 cups of yogurt:

With help of 1.5 cups of yogurt one bowl of fruit dip is made. Now we are left with (2.25 - 1.5 = 0.75) cups of yogurt. Number of bowls of fruit dip = 4.

Now, Another bowl of fruit dip couldn't be made because we have only 0.75 cups of yogurt ! So, with 6.75 cups of yogurt , we can make 4 bowls of fruit dip.

3 0

3 years ago

What is the partial product for 43x17

Margaret [11]

The partial product is 731

7 0

3 years ago

A square pyramid has a slant height of 15 cm. A side length of the base is 20 cm. What is the surface area of the pyramid? Enter

nevsk [136]

Answer:

1000 cm2

Step-by-step explanation:

Pretty sure

4 0

3 years ago

The jars of peanut butter that I buy cost $7.20 each and normally contain 500 grams. At present, however, each jar contains an e

Alex_Xolod [135]

Answer:

$0.54

Step-by-step explanation:

Given:

The jars of peanut butter that I buy cost $7.20 each and normally contain 500 grams.

At present, however, each jar contains an extra 20% free.

And additionally, the supermarket has a "buy 3 jars get another one free''.

Question asked:

By how much is the cost per 100 grams of peanut butter less than it normally is if I take full advantage of the supermarket's offer today?

Solution:

Cost of a jars of peanut = $7.20

Normally, weight of peanut butter in one packet = 500 gram

At supermarket offer, each jar contains an extra 20% free, means a packet of peanut butter contains = 500 + 20% of 500 $=500+500\times \frac{20}{100} =500+100=600\ gram$

And extra benefit = buy 3 jars get another one free, means we will get 4 jars by just giving price of only 3 jars.

That means, total weight of peanut butter you are getting by giving 3 packet's price = Each jar weigh $\times$ number of jars

= 600 $\times$ 4 = 2400 gram

Cost of each packet will be same as previously as during the offer; $7.20

Cost of 3 packet's peanut (2400 gram) = $7.20\times3=\$21.6$

Now, we will calculate cost per 100 grams of peanut butter :

During offer:

Cost of 2400 grams of peanut butter = $21.6

Cost of 1 gram of peanut butter = $\frac{21.6}{2400}$

Cost of 100 gram of peanut butter = $\frac{21.6}{2400}\times100=\frac{2160}{2400} =\$0.9$

Normal day:

Cost of 500 grams of peanut butter = $7.20

Cost of 1 gram of peanut butter = $\frac{7.20}{500}$

Cost of 100 gram of peanut butter = $\frac{7.20}{500}\times100=\frac{720}{500} =\$1.44$

We found that cost of 100 gram of peanut butter in normal day is $1.44 while cost of 100 gram of peanut butter during offer is $0.9 means cost per 100 gram during offer is ($1.44 - $0.9 = )$0.54 less than cost during normal day.

Conclusion:

Therefore, cost per 100 grams of peanut butter is $0.54 less than it is normally if you take full advantage of the supermarket's offer today.

7 0

3 years ago

Find the equation of a line which passes through (2 4) with a slope of ½​

Find the equation of a line which passes through (2 4) with a slope of ½