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3 years ago

Alinethatincludesthepoint(6, 3)hasaslopeof 2 . what isitsequationin slope -intercept form?

1 answer:

3 0

Hi Kay, the point-slope form of a line is given by: y - y1 = m(x - x1). Substituting the given point, (6, -8), and the slope, -2, gives: y - (-8) = -2 * (x - 6) This becomes: y + 8 = -2x + 12

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Write a Point-Slope equation for a line containing the given point and having the given slope. (-5, -6), m = 2

ladessa [460]

Answer:

Y=2x+4

Step-by-step explanation:

The x has to be at 0 so you count down by 2's since its negative till its at 0 hope this helps!:)

6 0

2 years ago

It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel

Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

Solution:

The speed is given by formula:

$speed = \frac{distance}{time}$

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

The total distance travelled by the train across the bridge is given by:

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 1260}{60}$

The total distance travelled by the train through the tunnel is given by:

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 2010}{90}$

The speed of the train was the same in both cases.

Equate both speeds

$\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}$

$\frac{x+630}{30} = \frac{x+1005}{45}$

$45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120$

Thus length of train is 120 meters

Find the speed of train:

$speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25$

Thus speed of train is 25 meter per second

5 0

3 years ago

Decompose 5/15 and 8/12

AnnZ [28]

Answer:

Step-by-step explanation:

5/15 divided by 5 is equal to 1/3 and

8/12 divided by 2 is 4/6 divided by 2 is 2/3

You have to divide the numerator with the same number that you divide the denominator with.

6 0

2 years ago

Translate the sentence into an equation. Five more than the product of a number and 9 is equal to 6

kap26 [50]

The first thing we will do for this case is to define the following variable:
x = real number.
We then have the following sentence:
"Five more than the product of a number and 9 is equal to 6"
The equation sought is:
9x + 5 = 6
Answer:
An equation for the sentence is:
9x + 5 = 6

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4 years ago

The table represents a function

scoray [572]

Answer:

Step-by-step explanation:

x is the value of x which you input into the function and f(x) is the actual function and therefore the output. so when x=3, f(x)= -2. f(3)=-2

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3 years ago