Use substitution to solve the system of equation. 2x+2y=8 x+y=-2

Mathematics

1 answer:

eimsori [14]4 years ago

5 0

Answer:

Step-by-step explanation:

find the value of y in the second equation

x + y = -2,

but y = -2-x as well

so take the value that we have found for (x) into the first equation

2x + 2(-2-x)= 8

-2x + -4-2x = 8

-4x-4=8

-4x = 12

x=-3,

now just substitute x value into either equation

x + y =-2

-3 + y = -2

y =1

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What is the range and domain of: <br><br>y= 4|x|-1

stich3 [128]

Function: y = 4|x| - 1.

Domain: R (all real numbers).

Range: As we know, the absolute value of x is always a non-negative number:

|x| >= 0

4|x| >= 4 * 0

4|x| >= 0

4|x| - 1 >= -1

y >= -1 <----- this is the range

I hope this helps. =)

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3 years ago

Ship A receives a distress signal from the southwest, and ship B receives a distress from the same vessel from the north. At wha

Fiesta28 [93]

I've attached an image showing the coordinates of Ship A and Ship B.

Answer:

distressed vessel is located at (1, 1.5)

Step-by-step explanation:

From the image attached, we can see that;

Coordinate of ship A is (3, 4)

Coordinate of ship B is (1, 1)

Now, we are told that Ship A receives a distress signal from the southwest, and ship B receives a distress from the same vessel from the north.

This means that the distressed ship is somewhere in between ship A & B.

To solve this, we will extend the arrow line from Ship A in that same SW direction and we will do the same for ship B in the same North direction. Their point of intersection is where the distressed ship is located.

Now, if we do that, we will see that they will intersect at the point; (1, 1.5)

Thus,distressed vessel is located at (1, 1.5)