The midpoint of segment AB is M(−2,2). If A is located at (−5,7) find the coordinates of the endpoint B.

Solution
Since we do not know the coordinates of point B we will use (x2,y2) as our coordinate. We will use our given point A and B and substitute into the midpoint formula. We would start with

M=(x1+x22,y1+y22)

Now let’s substitute in our given values.

( , 2)=((−5+x2)2,(7+y2)2)

Find x2 and y2
We will now set up two equations to solve for our two unknowns of x2 and y2.

( +x2)/2=

We will first want to multiply by 2 on both sides and will get

−5+x2=−4

Adding 5 to both sides we get

x2=

This is the x coordinate of point B. Now we will set up the equation to solve for y2

( +y2)/2=

We will first want to multiply by 2 on both sides and will get

+y2=

y2=

This is the y-coordinate of point B. The coordinates of point B are
( , )

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.