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3 years ago

Determine the standard form of the equation of the line that passes through (6,0) and (2,-7).

Mathematics

1 answer:

lesya [120]3 years ago

5 0

Answer:

-7x + 4y = +42

Step-by-step explanation:

Going from point (2, -7) to point (6, 0), x increases by 4 and y increases by 7. Thus, the slope of the line in question is m = 7/4.

Starting from the equation y = mx + b, and subbing (7/4) for m, 6 for x and 0 for y, we get:

0 = (7/4)(6) + b. Then b = 42/4, or 21/2. Thus, we now have y = (7/4)x + 21/2.

We must put this into "standard form." Multiplying all three terms by 4, we get:

4y = 7x + 42. Rearranging these terms to fit the "standard form" equation Ax + By = C, we get:

-7x + 4y = +42

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3 years ago

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2 years ago

Read 2 more answers

A meat market sold five 7/5 pounds of meatballs on Monday six 1/2 pounds of meat balls on Tuesday and 4 pounds of meatballs on W

Whitepunk [10]

Answer:

Add all of them together. So your answer is

61/10 or 6 and

Step-by-step:

7/5 =1 and 2/5 or 14/10

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2 years ago

A cone has a radius of 10 cm and and height of 9 cm. What is the approximate volume of the cone? Use 3.14 for π.

astraxan [27]

Answer:

The volume of the cone is $942cm^3$

Step-by-step explanation:

The given cone has a radius of 10 cm and and height of 9 cm.

The volume of a cone is given by:

$V=\frac{\pi r^2h}{3}$

We substitute r=10 and h=9 , $\pi=3.14$ to obtain:

$V=\frac{3.14*10^2*9}{3}$

Simplify exponents to get:

$V=\frac{3.14*100*9}{3}$

Simplify:

$V=314*3\\V=942cm^3$

Therefore the volume of the cone is $942cm^3$

8 0

2 years ago

Aaron wants to make a path to guide guest through the conservation area.He uses rolls of rope to make the path.He uses 3/4 of a

mel-nik [20]

Answer:

Aaron needs <u>2 more rolls</u> to complete the path.

Step-by-step explanation:

Given:

Total rolls Aaron has = 4

Part of path covered by using $\frac{3}{4}$ of a roll = $\frac{1}{8}$

So, in order to find the number of rolls required to cover the complete path is given using the unitary method.

Rolls used for $\frac{1}{8}$ of a path = $\frac{3}{4}$

Therefore, rolls used to cover the whole path is given by dividing the rolls used for one-eighth of the path and the path covered. This gives,

$=\frac{3}{4}\div \frac{1}{8}$

$=\frac{3}{4}\times \frac{8}{1}$

$=\frac{3\times 8}{4\times 1}$

$=\frac{24}{4}$

$=6\ rolls$

Now, rolls required to complete the path is 6. But Aaron has only 4 rolls.

So, he will need 6 - 4 = 2 rolls more to complete the path.

5 0

3 years ago