Given that the line segment AB whose midpoint M is ( 3, -2 ) and point A is ( 7, - 9), then we have to find point B of the line segment AB -

As we know that-

If a line segment AB is with endpoints ( $x_{1}, y_{1}$ ) and ( $x_{2}, y_{2}$ )then the mid points M are-

M = ( $\frac{ x_{1} + x_{2} }{2}$ , $\frac{ y_{1} + y_{2} }{2}$ )

Here,

Let A ( 7, - 9 ), B ( x, y ) with midpoint M ( 3, - 2 ) -

then by the midpoint formula M are-

( 3, - 2 ) = ( $\frac{ 7 + x}{2}$ , $\frac{ - 9 + y}{2}$ )

On comparing x coordinate and y coordinate -

We get,

( $\frac{ 7 + x}{2}$ = 3 , $\frac{ - 9 + y}{2}$ = - 2)

( 7 + x = 6, - 9 + y = - 4 )

( x = 6 - 7, y = - 4 + 9 )

( x = - 1, y = -5 )

Hence the required points A are ( - 1, - 5 ).

We can also verify by putting these points into Midpoint formula.

8 0

3 years ago

A store has clearance items that have been marked down by 25%. They are having a sale, advertising an additional 40% off clearan

Hatshy [7]

Answer: He would pay 45% of the original price.

Step-by-step explanation:

Since we have given that

Let the original price of item be 'x'

Rate mark down by 25%

Amount of marked down would be

$\dfrac{25}{100}\times x\\\\=0.25x$

Amount after marked down becomes

$x-0.25x\\\\=0.75x$

Additional clearance items by 40% off

Amount of additional off is given by

$\dfrac{40}{100}\times 0.75x\\\\=0.4\times 0.75x\\\\=0.3x$

After additional off, the amount becomes,

$0.75x-0.3x\\\\=0.45x$

Hence, he would pay 45% of the original price.

5 0

2 years ago

X+(-4)=-12 Solve the equation and enter the value of x below

Tpy6a [65]

Answer:

$x = -8$

Step-by-step explanation:

Step 1: Add 4 to both sides

$x + (-4) = -12$

$x - 4 + 4 = -12 + 4$

$x = -8$

Answer: $x = -8$

3 0

2 years ago

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Ashley recently opened a store that sells only natural ingredients. She wants to advertise her products by distributing bags of

melisa1 [442]

With 6 people preparing bags, they would be able to prepare 6 bags every 2 minutes.

900/6 * 2 = the total minutes

Divide that answer by 60 to get the numbe of hours.

The answer is 5 hours.

Hope that helps.- UF aka Nadia

8 0

2 years ago

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