Ask question

Ask question

All categories

2 years ago

6

Two buses leave towns 840 miles apart at the same time and travel toward each other. One bus travels 20 mi/h slower than the oth

er. If they meet in 7 hours, what is the rate of each bus?

1 answer:

MrRa [10]2 years ago

6 0

Answer: Thus you found the rate of the slower bus. It is 67 miles per hour.

Then the rate of the faster bus is 67 + 18 = 85 mph.

Step-by-step explanation:

You might be interested in

Palawbhehrht awnser yes or mo

wariber [46]

Answer:

yes

Step-by-step explanation:

4 0

2 years ago

Find the equation of the lines parallel and perpendicular to the line 5x+2y=12 through the point (-2,3)

muminat

Answer:

The equation of line parallel to given line and passing through points ( - 2 , 3 ) is 5 x + 2 y + 4 = 0

The equation of line perpendicular to given line and passing through points ( - 2 , 3 ) is 2 x - 5 y + 19 = 0

Step-by-step explanation:

Given equation of line as :

5 x + 2 y = 12

or, 2 y = - 5 x + 12

or , y = $\frac{-5}{2}$ x + $\frac{12}{2}$

Or, y = $\frac{-5}{2}$ x + 6

∵ Standard equation of line is give as

y = m x + c

Where m is the slope of line and c is the y-intercept

Now, comparing given line equation with standard eq

So, The slope of the given line = m = $\frac{-5}{2}$

Again,

The other line if passing through the points (- 2 , 3 ) And is parallel to given line

So, for parallel lines condition , the slope of both lines are equal

Let The slope of other line = M

So, M = m = $\frac{-5}{2}$

∴ The equation of line with slope M and passing through points ( -2 , 3) is

y = M x + c

Now , satisfying the points

So, 3 = $\frac{-5}{2}$ × ( - 2 ) + c

or, 3 = $\frac{10}{2}$ + c

Or, 3 = 5 + c

∴ c = 3 - 5 = - 2

c = - 2

So, The equation of line with slope $\frac{-5}{2}$ and passing through points ( -2 , 3)

y = $\frac{-5}{2}$ x - 2

or, 2 y = - 5 x - 4

I.e 5 x + 2 y + 4 = 0

<u>Similarly</u>

The other line if passing through the points (- 2 , 3 ) And is perpendicular to given line

So, for perpendicular lines condition,the products of slope of both lines = - 1

Let The slope of other line = M'

So, M' × m = - 1

Or, M' × $\frac{-5}{2}$ = - 1

Or, M' = $\frac{-1}{\frac{-5}{2}}$

Or, M' = $\frac{2}{5}$

∴ The equation of line with slope M and passing through points ( -2 , 3) is

y = M' x + c'

Now , satisfying the points

So, 3 = $\frac{2}{5}$ × ( - 2 ) + c'

or, 3 = $\frac{- 4}{5}$ + c'

Or, 3 × 5 = - 4 + 5× c'

∴ 5 c' = 15 + 4

or, 5 c' = 19

Or, c' = $\frac{19}{5}$

So, The equation of line with slope $\frac{2}{5}$ and passing through points ( -2 , 3)

y = $\frac{2}{5}$ x + $\frac{19}{5}$

y = $\frac{2 x + 19}{5}$

Or, 5 y = 2 x + 19

Or, 2 x - 5 y + 19 = 0

Hence The equation of line parallel to given line and passing through points ( - 2 , 3 ) is 5 x + 2 y + 4 = 0

And The equation of line perpendicular to given line and passing through points ( - 2 , 3 ) is 2 x - 5 y + 19 = 0

Answer

4 0

3 years ago

I need help does anyone know the slope intercept for this one?

Paraphin [41]

Answer:

(0,2)

Step-by-step explanation:

The slope-intercept (aka y-intercept) is where the line crosses the y-axis. And the slope-intercept is at (0,2)

Hope this helped!

Have a supercalifragilisticexpialidocious day!

7 0

3 years ago

PLEASE HURRY!!! AB = 20 cm, m∠A = 30° , and $m∠C = 45° . Express the number of centimeters in the length of BC in simplest radic

MrRissso [65]

Using the Sine Rule:-

20 /sin 45 = BC / sin 30

BC = 20 sin 30 / sin45

= 20 * 1/2 / 1 / sqrt2
= 20 * 1/2 * sqrt2
= 10 sqrt2 answer

3 0

3 years ago

What are the terms in the expression 2x−4y+8 ?

rodikova [14]

Answer:

<u>The correct answer is D. 2x, -4y, and 8.</u>

Step-by-step explanation:

The concept of the terms of an equation is used for the monomials of each member participating in the equation. In Mathematics we distinguish between two types of terms:

1. The terms in x: when the terms are accompanied by a literal.

2. The independent terms: when the terms are constituted by numerical elements.

4 0

4 years ago