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3 years ago

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A line has a slope of 2 and passes through the point (1, 3). An equation of the line is A) y = x + 2 B) y = x + 1 C) y = 2x + 1

D) y = 3x - 2

1 answer:

s2008m [1.1K]3 years ago

8 0

Answer:

The equation of line with given slope and points is y = 2 x + 1

Step-by-step explanation:

Given as :

The slope of line is ( m ) = 2

The line passes through points ( 1 , 3 )

The equation of line is given as

y = m x + c

Now since slope of line is 2 and passing through points ( 1 , 3 )

∴ 3 = ( 2 )× ( 1 ) + c

Or, 3 - 2 = c

So c = 1

∴ The equation of line can be written as

y = 2 x + 1

Hence The equation of line with given slope and points is y = 2 x + 1 Answer

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Determine if the equation below is a function with independent variable x. If so, find the domain. If not, find a value of x to

Andre45 [30]

Answer:

No because it contains points (3,4) and (3,-4). You cannot have a x assigned to more than one y-value if you want it to be a function.

Step-by-step explanation:

A function has one output per input.

If we are trying to determine if the given is a function of x, then x is the input.

However I can get two outputs from plugging in x=3.

$3^2+y^2=25$

$9+y^2=25$

Subtract 9 on both sides:

$y^2=25-9$

$y^2=16$

Take the square root of both sides:

$y=\pm \sqrt{16}$

$y=\pm 4$ .

So input x=3 yields y=4 and y=-4.

Since this input has more than one output then the given is not a function of x.

----Also!

If you graph the equation, it is a circle with radius 5 and center (0,0). So I could I plug in any number for x between -5 and 5 excluding -5 and 5 which would yield only one output each. Since plugging in either one gives:

$(\pm 5)^2+y^2=25$

$25+y^2=25$

Subtract 25 on both sides:

$y^2=25-25$

Simplify:

$y^2=0$

There is only one value y such that when you square it gives you 0. That is 0.

x=5 only gives y=0 and x=-5 only gives y=0.

There is no circle, unless it is a circle with radius 0 which means it really wouldn't be a circle, that is a function.

8 0

3 years ago

If <br> −6x+9y=−4 is a true equation, what would be the value of <br> 9y−6x?

Arisa [49]

Answer:

It will be 30

Step-by-step explanation:

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3 years ago

What is the inverse function of d(x) = 2x - 4?

zysi [14]

Answer:

$d^{-1}$ (x) = $\frac{x+4}{2}$

Step-by-step explanation:

let d(x) = y and rearrange making x the subject, that is

2x - 4 = y ( add 4 to both sides )

2x = y + 4 ( divide both sides by 2 )

x = $\frac{y+4}{2}$

Change y back into terms of x, so

$d^{-1}$ (x ) = $\frac{x+4}{2}$

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3 years ago

Marley has read 112.5 pages of a book. By the end of today, she plans to have read at least a total of 360 pages. If she reads 4

Vinvika [58]

5.5 hours. 5 hours and 30 minutes

The total pages she wants to finish (360) minus the pages she has read (112.5) equals to 247.5
Then divide it by the 45 (the rate of pages she reads per hour)
5.5 hours.

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3 years ago

artcher [175]

The area of the triangle XYZ is 29.1 square units

Explanation:

Given that the measurements of the sides of the triangle XYZ are $XY = 13$ , $XZ=8$ and $m\angle X=34^{\circ}$

We need to determine the area of the triangle XYZ

<u>Area of the triangle:</u>

The area of the triangle can be determined using the formula,

$Area=\frac{1}{2} yz \ sin X$

Substituting the values, we get,

$Area=\frac{1}{2}(13)(8) \ sin 34$

Simplifying, we get,

$Area=\frac{1}{2}(104) (0.56)$

Multiplying the terms, we get,

$Area=\frac{58.24}{2}$

Dividing the terms, we have,

$Area=29.12$

Rounding off to the nearest tenth, we get,

$\text {Area}=29.1$

Thus, the area of the triangle XYZ is 29.1 square units.

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4 years ago