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AlladinOne [14]
3 years ago
5

Write the equation of the line shown (3,6) (3,-4)

Mathematics
1 answer:
lozanna [386]3 years ago
6 0

Answer:

The equation of line is given as  x=3

Step-by-step explanation:

Point on the line given :

(3,6),(3,-4)

We can find the slope of the line first from the given points.

Slope(m)=\frac{y_2-y_1}{x_2-x_1} = \frac{-4-6}{3-3}=\frac{-10}{0}== Undefined.

The slope of the line is undefined which means that the line is parallel to y-axis.

From the points known to us we can tell that the line passes through x=3

∴ The equation of line is given as  x=3

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In his boat, Sheldon can travel 45 mi downstream in the same time that it takes to travel 9 mi upstream. If the rate of the curr
Nataliya [291]

Answer:

9 mph

Step-by-step explanation:

-let x be the speed of current and t be time. The speed equation for both directions can then be represented as:

Speed=\frac{Distance}{Time}\\\\\#Upstream\\(u-6)t=9\\\\\#Donwstream\\\\(u+6)t=45

#Since t is equal in both, we can do away with t.

#We the divide the downstream equation by the upstream equation as:

\frac{u+6}{u-6}=\frac{45}{9}\\\\(u+6)=5(u-6)\\\\u+6=5u-30\\\\4u=36\\\\u=9

Hence, the boat's speed in still water is  9 mph

7 0
3 years ago
Answer the following correctly please
ladessa [460]
1 would be B. 2 would be a
8 0
3 years ago
Can someone please answer 8|x+2|-6=5|x+2|+3
Anettt [7]

Step-by-step explanation:

8|x+2|-6=5|x+2|+3

|8x+16|-6=|5x+10|+3

I've been thinking... Is that | or (? Are you sure it's |?

Oh well, I'm continuing...

8x+16-6=5x+10+3

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4 0
3 years ago
One positive number is three more than twice another. If their product is 629, find the numbers.
sineoko [7]

Answer:

x = 17 and y = 37

Step-by-step explanation:

Let the numbers be x and y.

y = 3 + 2x

xy = 629

substituting y in the second equation we get

x(3+2x) = 629

3x + 2x^{2} = 629

2x^{2} + 3x - 629 = 0

Solving a quadratic equation by using its formula:

x = [-3 ±√(9-4(2)(-629)] / 4

x = [-3 ± √5041] / 4

x = [-3 ± 71] / 4

x = 17 and \frac{-37}{2}

Ignore the negative number in x and just use x = 17 in the first equation we get

y = 3 + 2(17) = 37

5 0
3 years ago
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AleksandrR [38]

Step-by-step explanation:

\cos( \beta  )  +  \sin( \beta )  \tan( \beta )  =  \sec( \beta )

\cos( \beta )  +  \sin( \beta )  \frac{ \sin( \beta ) }{ \cos( \beta ) }

\cos( \beta )  +  \frac{ \sin {}^{2} ( \beta ) }{ \cos( \beta ) }

\frac{ \cos {}^{2} ( \beta ) }{cos \beta }  +  \frac{ \sin {}^{2} ( \beta ) }{ \cos( \beta ) }

\frac{1}{ \cos( \beta ) }

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3 0
3 years ago
Read 2 more answers
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