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3 years ago

Determine the equation of the line with the following characteristics.

Mathematics

2 answers:

Alenkasestr [34]3 years ago

7 0

Answer:

y = 3x - 3

Step-by-step explanation:

Given, (2,3) and (-1,9), m = 3

Equation of a straight line is y = mx + c

Here, y = 3, x = 2 and m = 3

Substituting the values in y = mx + c we get,

3 = 3(2) + c

c + 6 = 3

c = 3 - 6

c = -3

So, the equation of the line is y = 3x - 3 (Answer).

Lina20 [59]3 years ago

3 0

Answer:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line.

Step-by-step explanation:

Have a good Day!

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Im number 4 on daily rank brainliest so

Igoryamba

Answer:

Congrats!

Step-by-step explanation:

3 0

3 years ago

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Solve algebraically the simultaneous equations<br><br> X^2 + Y^2 =25<br> Y-2X = 5

Georgia [21]

Answer:

Therefore the solutions are

$x=0\\and\\ y =5\\\\Or\\\\x=-4\\and\\y=-3$

Step-by-step explanation:

Given:

$x^{2} + y^{2} =25$ .........( 1 )

$y-2x = 5\\y=2x+5$ ................( 2 )

To Find:

x = ?

y = ?

Solution:

Substituting ' y ' in Equation 1 we get

$x^{2}+(2x+5)^{2} =25$

Using identity (A+B)²=A²+2AB+B² we get

$x^{2}+4x^{2}+20x+25=25\\\\5x^{2}+20x=0\\5x(x+4)=0\\5x=0\ or\ x+4=0\\x=0\ or\ x= -4$

Now Substitute x =0 in equation 2 we get

$y=2\times 0+5=5$

Now Substitute x =-4 in equation 2 we get

$y=2\times -4+5=-3$

Therefore the solutions are

$x=0\\and\\ y =5\\\\Or\\\\x=-4\\and\\y=-3$

4 0

4 years ago

Help Please!! I’ve been stuck

BigorU [14]

answer:

z squared=34

n-6=21

3 divided by y

Step-by-step explanation:

just create equations that simplify it

6 0

3 years ago

What is 12 to the 3rd power in multiplication expression standard form

castortr0y [4]

12 x 12 x 12

explanation: 12 to the 3rd power is simply just 12 times itself 3 times.

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3 years ago

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What percentage of the actual salary are the actual total expenses?

Setler79 [48]

Answer:

95.97%

Step-by-step explanation:

Observing the table we have

The actual salary is $3,600 -----> This amount represent the 100%

The actual total expenses are $3,455

using proportion

Find out what percentage of the actual salary are the actual total expenses

$\frac{100}{3,600}=\frac{x}{3,455}\\ \\ x=100*3,455/3,600\\ \\ x=95.97\%$

7 0

3 years ago