Mila had 2.5 gallons of sweet tea to share with her 7 classmates. How many gallons of sweet tea does each person get?

the midpoint is AB is M(3,-2). One endpoint is A(7,-9). Find the coordinates of the other endpoint B.

cestrela7 [59]

Answer:

The required points of the given line segment are ( - 1, - 5 ).

Step-by-step explanation:

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

Guys help me can u give me the answer

andrezito [222]

Answer:

A factor, in mathematics, a number or algebraic expression that divides another number or expression evenly, with no remainder. A multiple of a number is any integer multiplied by the number. Try it yourself, now you know the how it works.

3 0

3 years ago

The line plot shows the weight of the bags of beans.what is the average weight of the bags.

Setler79 [48]

Answer:

1/2

Step-by-step explanation:

So you have 12 bags total.

2 are 1/6 so their total weight is 1/3

2 are 1/3 so their total weight is 2/3

3 are 1/2 so their total weight is 3/2

4 are 2/3 so their total weight is 8/3

1 is 5/6 so their total weight is 5/6

Now add all of these up:

1/3 + 2/3 + 3/2 + 8/3 + 5/6 = 36/6 = 6

Then divide by the number of bags to get the average weight: 6/12 = 1/2

7 0

4 years ago

Nikki is 5 years older than Jamie. The product of their ages is 126. Which equation could be used to find Nikki’s age, n?

slavikrds [6]

Answer:

126 = n × (n - 5)

Step-by-step explanation:

If Nikki's age is n and she is 5 years older than Jamie, then Jamie is 5 years younger than Nikki's n number of years.

7 0

4 years ago

Read 2 more answers

Paul Havlik promised his grandson Jamie that he would give him $7,100 7 years from today for graduating from high school. Assume

Dominik [7]

Answer:

$\large \boxed{\$4100.07}$

Step-by-step explanation:

The formula for the future value (FV) of an investment earning compound interest is

$FV = PV \left (1 + \frac{r}{n} \right )^{nt}$

where

PV = the present value (PV) of the money invested

r = the annual interest rate expressed as a decimal fraction

t = the time in years

n = the number of compounding periods per year

Data:

FV = $7100

r = 8 % = 0.08

t = 7 yr

n = 2

Calculation:

$\begin{array}{rcl}\\7100& =& PV \left (1 + \dfrac{0.08}{2} \right )^{2 \times 7}\\\\& =& PV (1 + 0.04)^{14}\\\\& =&PV (1.04)^{14}\\& =& PV(1.731676)\\PV& =& \dfrac{7100}{1.731676}\\\\& =& \mathbf{4100.07}\\\end{array}\\\text{The present value of the money is $\large \boxed{\mathbf{\$4100.07}}$}$

4 0

3 years ago