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3 years ago

Find the equation of the line passing through the points A(3,2) and B(6,3)

Mathematics

1 answer:

icang [17]3 years ago

5 0

Answer:

y = $\frac{1}{3} x+1$

Step-by-step explanation:

m = $m = \frac{change in y}{change in x} \\m = \frac{3 - (2)}{6 - (3)}\\m = \frac{1}{3} \\Find the value of b using the equation of a line \\y = mx+b\\y =( \frac{1}{3} )x + b\\2 =( \frac{1}{3} ) * (3) + b\\cancel common factor\\1 + b = 2\\b = 1\\y = \frac{1}{3} x + 1$

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Without using a calculator, match each expression to the correct point. Point Expression

lyudmila [28]

Answer:

Where is the photo?

Step-by-step explanation:

7 0

3 years ago

In 4 minutes, a conveyor belt moves 800 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt

kkurt [141]

Answer:

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

Step-by-step explanation:

Given - In 4 minutes, a conveyor belt moves 800 pounds of recyclable

aluminum from the delivery truck to a storage area. A smaller belt

moves the same quantity of cans the same distance in 6 minutes.

To find - If both belts are used, find how long it takes to move the cans

to the storage area.

Proof -

Given that,

Larger belt take 4 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Larger belt = 4 min/ shifting

Also,

Smaller belt take 6 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Smaller belt = 6 min/ shifting

Now,

As we know that Time is inversely proportional to time, so

Rate of Larger Belt = $\frac{1}{4}$ shifting/min

Rate of Smaller Belt = $\frac{1}{6}$ shifting/min

Now,

Let us assume that , if both belts used then,

Total time taken = x min/shifting

Then, Rate = $\frac{1}{x}$ shifting/min

Now,

$\frac{1}{4}$ + $\frac{1}{6}$ = $\frac{1}{x}$

⇒ $\frac{6 + 4}{24} = \frac{1}{x}$

⇒ $\frac{10}{24} = \frac{1}{x}$

⇒10x = 24

⇒x = $\frac{24}{10}$ = 2.4 minutes

∴ we get

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

3 0

3 years ago

which equation is the quadratic variation equation for the relatonship? the variable y varies directly with x^2 and y=36 when x=

svetoff [14.1K]

For this case we have a direct variation of the form:

$y = kx ^ 2$

Where,

k: proportionality constant

We must find the value of k.

For this, we use the following data:

$y = 36\\x = 3$

Therefore, replacing values we have:

$36 = k (3) ^ 2$

Rewriting:

$36 = 9k$

Clearing the value of k we have:

$k = \frac {36} {9}\\k = 4$

Therefore, the direct variation equation is given by:

$y = 4x ^ 2$

Answer:

The quadratic variation equation for the relatonship is:

$y = 4x ^ 2$

8 0

3 years ago

A coin is loaded so that the probability of heads is 0.55 and the probability of tails is 0.45. suppose the coin is tossed twice

Vladimir79 [104]

The probability is 0.235

8 0

3 years ago

Input in stand form the equation of the given line.

Daniel [21]

Answer:

3x +8y = -17

Step-by-step explanation:

The point-slope equation is a good place to start.

y -k = m(x -h) . . . . . equation through (h, k) with slope m

Filling in your numbers gives ...

y +4 = -3/8(x -5)

Multiplying by 8, we get

8y + 32 = -3x + 15

Adding 3x-32 puts this in standard form.

3x + 8y = -17

_____

Standard form is ...

ax +by = c

where a, b, c are mutually-prime integers and the leading coefficient is positive. (If a=0, the leading coefficient is b.)

8 0

3 years ago