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3 years ago

What is the slope of the line given by the equation -3x = 30 - 5y?

Mathematics

1 answer:

zaharov [31]3 years ago

8 0

Answer:

The slope of the line given by the equation -3x=30-5y is $\frac{3}{5}$ .

Step-by-step explanation:

-3x=30-5y

Move the -3x to the right side of the equal sign and the -5y to the left.

5y=30+3x

By switching them to opposite sides, their sign changes from - to +.

Then, divide both sides by 5 in order to isolate the y.

$\frac{5y}{5} = \frac{30+3x}{5}$

You get:

y= $\frac{3}{5} x +6$

According to y=mx+b, mx refers to the slope.

In this case, the slope would be $\frac{3}{5}$ .

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at 1:30 in the afternoon an old freight train and a new dart express train pull out of the new garland station going in opposite

nydimaria [60]

Solution: The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.

Explanation:

Let the speed of old freight train is x miles per minute and the speed of new dart express train is y miles per minute.

It is given that the speed of the dart express train is three times faster than the freight train. So, it can be written as,

$3x=y$ ....(1)

The trains are moving towards the opposite directions, therefore the distance between them is increased at the speed of $(x+y)$ miles per minute.

$Distance=Speed\times Time$

The distance between both train in 15 minutes is represented by $15(x+y)$ .

According to the given information the distance between trains is 30 miles in 15 minutes.

$15(x+y)=30$

$x+y=2$

Use equation (1) and put $y=3x$

$x+3x=2$

$4x=2$

$x=0.5$

Put this value in equation (1), to find the value of y.

$y=3(0.5)$

$y=1.5$

Therefore, the The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.

4 0

3 years ago

Pleaseee helllpp meee

PIT_PIT [208]

The answer is y = 0.5 x

6 0

3 years ago

Read 2 more answers

Tobias dropped a tennis ball from a height of 60 meters. The time in seconds it takes for the ball to fall 60 feet is 0.25(radic

AnnZ [28]

We are given

Tobias dropped a tennis ball from a height of 60 meters. The time in seconds it takes for the ball to fall 60 feet is 0.25(radical60).

so, time is

$T=0.25\sqrt{60} =\frac{1}{4} \sqrt{60}$

we have to approximate it's value

First approximation set:

we know that

$49$

we can take sqrt all the sides

$\sqrt{49}$

we can simplify it

$7$

Divide all sides by 4

$\frac{7}{4}< \frac{1}{4} \sqrt{60}$

Second approximation set:

$7.7$

Divide all sides by 4

$\frac{7.7}{4}$

$1.925$

Third approximation set:

$7.74$

Divide all sides by 4

$\frac{7.74}{4}$

$1.935$

so, we get

$t=1.94seconds$ ......Answer

7 0

3 years ago

Help pls :)

nataly862011 [7]

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6 0

3 years ago

Consider the arithmetic sequence 13, 24, 35, ....

MArishka [77]

Answer:

The explicit form for the sequence is: $a_{n}=13+(n-1)(11)$

Step-by-step explanation:

In order to find an explicit form for the given sequence, you have to use the definition of arithmetic sequence and the explicit formula.

An arithmetic sequence is defined as a sequence where the difference of two consecutive terms is a constant.

The explicit formula is:

$a_{n}=a_{1} + (n-1)d$

Where a1 is the first term, d is the common difference and an is the nth term of the sequence.

You have to subtract two consecutive terms to obtain d:

24-13= 11

35-24=11

Therefore d=11

In this case a1=13

Replacing in the formula:

$a_{n}=13+(n-1)(11)$

8 0

3 years ago