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Ganezh [65]
3 years ago
9

Determine which system of equation has (-3,19) and (4,-23) as a solution?

Mathematics
1 answer:
grandymaker [24]3 years ago
4 0

Answer:

y=6x+1

Step-by-step explanation:

First you must find the slope of the two points...

\frac{4--3}{-23-19} which then would equal 6

Then you take the slope and put into point-slope form

(y-y1)=m(x-x1)...take one of the points that is given and plug it into this formula.

so I used (-3,19).

(y-19)=6(x--3)

I would then get y-19=6x+18

Add 19 to both sides and you will get y=6x+1


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The shaded region in the graph represents the solutions of this system of linear inequalities:
kotegsom [21]

Answer:

y

y\leq 2x+3

Step-by-step explanation:

step 1

Find the equation of the solid line

From the graph take the points (0,3) and (4,11)

Find the slope

m=(11-3)/(4-0)\\m=8/4=2

The equation of the solid line in slope intercept form is equal to

y=mx+b

we have

m=2

b=3 ----> the y-intercept is the point (0,3)

substitute

y=2x+3

therefore

The inequality is

y\leq 2x+3

step 2

Find the equation of the dashed line

The slope is given

m=4

From the graph take the y-intercept (0,-5)

The equation of the solid line in slope intercept form is equal to

y=mx+b    

we have

m=4

b=-5

substitute

y=4x-5

therefore

The inequality is

y

because the shaded region is below the dashed line

therefore

The system of inequalities is

y

y\leq 2x+3

8 0
3 years ago
Help please! This has to do with the Pythagorean theorem.
Natasha2012 [34]
ANSWER

6.63

Explanation:

Equation used: c2 = a2 + b2 ( rearranged due to having the two sides )

c2 = 12^2 + 10^2

c2 = 144 - 100

c2 = 44

c2 = 6.63 ( the square root of 44 )

5 0
3 years ago
HELP DUE IN 15 MINUTES!!!! REFLECTIONS!
Sergeu [11.5K]
D(-1,-1), E(-8,-4), F(-8,-8)
3 0
2 years ago
Read 2 more answers
What is |-8| + |6| ?
Irina18 [472]

|-8| + |6| should be 14

5 0
3 years ago
Read 2 more answers
Which value of x satisfies the equation |-2x|=10
uranmaximum [27]

Answer:

Step-by-step explanation:

First you will divide I-2xI on both sides that should look like this:

       -2x/-2 = 10/-2

when you divide it your -2‘s should cancel out and you should be left with

         -x=10/-2

when You divide 10/-2 you should get -5

         10/-2= -5

your answer should look like this then

         -x=-5

-5 is just one of your answers the other is 5

To get rid of the negative on the -X you have to didvide it by both sides

        -x/-x=-5/-x

your answer should be

          X= 5

your final answers are

      -5 or 5

5 0
3 years ago
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