the smiths want to fence their square garden, which has an area 256 square meters.

Questions 4, 5 and 6
PLEASE I NEED THIS ASAP

Answers

Answer 1
The answer s=16 answer 48

Related Questions

function g is represented by th table.
x -1 0 1 2 3
g(x) 15 3 0 -¾ -15/16

Which statement correctly compares the two functions?
А.They have the same x- and y-intercepts.

B.They have different x- and y-intercepts but the same end behavior as x approaches infinity.

C.They have the same y-intercept and the same end behavior as x approaches infinity.

D.They have the same x-intercept but different end behavior as x approaches infinity​

Answers

Answer:

  D.  They have the same x-intercept but different end behavior as x approaches infinity​

Step-by-step explanation:

A careful comparison reveals the g(x) values in the table are 1/2 the y-values in the graph. The x-intercepts are the same, but the y-intercepts and end behavior are different.

can someone help me find the fa tor of (128m^2n^5 - 200m^4n^3)?

Answers

Answer:

[tex]8m^2n^3[/tex], [tex]4n-5m[/tex], and [tex]4n+5m[/tex]

Step-by-step explanation:

[tex]128m^2n^5-200m^4n^3[/tex] <-- Given

[tex]m^2(128n^5-200m^2n^3)[/tex] <-- Factor out m²

[tex]m^2n^3(128n^2-200m^2)[/tex] <-- Factor out n³

[tex]8m^2n^3(16n^2-25m^2)[/tex] <-- Factor out 8

[tex]8m^2n^3(4n-5m)(4n+5m)[/tex] <-- Difference of Squares

Therefore, the factors are [tex]8m^2n^3[/tex], [tex]4n-5m[/tex], and [tex]4n+5m[/tex]

my Christmas present to you​

Answers

Answer: ty

Step-by-step explanation:

Don’t understand this one, hoping for help

Answers

The number must be be 67 and 113. It must be a multiple of 3, 6, AND 9. For instance, 18 is a multiple of 3, 6, and 9. 3*6 is 18, 6*3 is 18, and 9*2 is 18.

The answer is: 72, 90, 108

These are all multiples of 3, 6, and 9. 3*24, 12*6, and 9*8 is 72. 3*30, 6*15, and 9*10 is 90. 6*36, 6*18, and 9*12 is 108.

WILL GIVE BRAINLYIST
Andre is in charge of cooking broccoli and zucchini for a large group. He has to spend all $17 he has and can carry 10 pounds of veggies. Zucchini costs $1.50 per pound and broccoli costs $2 per pound. One graph shows combinations of zucchini and broccoli that weigh 10 pounds and the other shows combinations of zucchini and broccoli that cost $17.

Graph

A combination of veggies that costs $17 but does not weigh 10 pounds.

Select all that apply.



Group of answer choices

D. 10 pounds of zucchini and 1 pound of broccoli

B. 4 pounds of zucchini and 6 pounds of broccoli

A. 6 pounds of zucchini, and 4 pounds of broccoli

C. 2 pounds of zucchini and 7 pounds of broccoli

Answers

Answer:

Andre has 4 pounds of Broccoli and 6 pounds of Zucchini.

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

6 pounds of Zucchini, and 4 pounds of broccoli equals to $17 and 2 pounds of Zucchini, and 7 pounds of broccoli equals to $17. Hope this helps.

Divide. 603 ÷ 27 = _____
22 R11
27 R1
22 R9
21 R16

Answers

Answer:

C) 22 R9

Step-by-step explanation:

Answer: C. 22 R 9

Step-by-step explanation: 603 ÷ 27 22 R 9

make r the subject of the formula

Answers

Answer:

r=[tex]\frac{3t}{t-1}[/tex]

Step-by-step explanation:

t(r-3)=r

tr-3t=r

tr-r=3t

r(t-1)=3t

r=[tex]\frac{3t}{t-1}[/tex]

100 Point question answered ASAP for brainliest!

Answers

Step-by-step explanation:

that is really easy too easy for that many points.

it is truly simple :

the graph (and with it the function) is shifted down by 3 units.

that means everything of the function stays the same, just the functional results are consistently lowered by 3.

so, g(x) = f(x) - 3 = -2x² - 7 - 3 = -2x² - 10

that is really all there is to it.

5x + 15y = 1200 models how many cars washed (x) and how many bikes sold (y) Jim has to do to save $1200. Of the four combinations of car washed and bikes sold below, which does NOT result in $1200?(3, 79)(6, 78)(8, 76)(9, 77)

Answers

Answer:

(8, 76)

Step-by-step explanation:

can someone please help w my math?????

Answers

Answer:

That is very true and should be added

solve the following equation: 0.4(g-2)+1.2=-(g-1)+2.9​

Answers

Answer: g = 2.5

Hope it helps!

Answer:

g = 2.5

Step-by-step explanation:

0.4(g - 2) + 1.2 = - (g - 1) + 2.9 ← distribute parenthesis on both sides

0.4g - 0.8 + 1.2 = - g + 1 + 2.9 ( simplify both sides )

0.4g + 0.4 = - g + 3.9 ( add g to both sides )

1.4g + 0.4 = 3.9 ( subtract 0.4 from both sides )

1.4g = 3.5 ( divide both sides by 1.4 )

g = 2.5

a=5 and b=-5 , 2ab-a^(2)

Answers

Answer:

Step-by-step explanation:

2(5)(-5)-(5)^2

=−75

The arcs in the photo at the right appear to
be paths of stars rotating about the North Star, To produce this effect, the
photographer set a camera on a tripod and left the shutter open for an
extended time. If the photographer left the shutter open for a full 24 hours,
each are would be a complete circle. You can model a star's rotation" in the
coordinate plane. Place the North Star at the origin. Let P(1, 0) be the position
of the star at the moment the camera's shutter opens. Suppose the shutter is
left open for 2 h 40 min, with the arc ending at P. a. What angle of rotation
maps Ponto P? b. What are the x and y coordinates of P to the nearest
thousandth? c. What translation rule maps P onto P?

Answers

Answer:

a. What angle of rotation maps Ponto P?

30.25 degrees

b. What are the x and y coordinates of P to the nearest thousandth?

(83.3, 33.3)

c. What translation rule maps P onto P?

Rotation

how many 2 digit combos can you make with numbers 1, 2, and 3?

Answers

Answer:

9 i believe

Step-by-step explanation:

11

12

13

21

22

23

31

32

33

Find the product and simplify the answer -n(-2n^4+9n-5)

Answers

Answer:

ay manuck im in 7th grade it sucks but you can get a OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

What’s the definition of coefficient

Answers

Answer:

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x).

Step-by-step explanation:

Q: What is the coefficient in 6x^2

A: 6

Note: It is USUALLY a number

Asha has $100 on a movie theater
gift card. Each time she buys a ticket
to a movie it costs her $8.75. Write
an equation that Asha can use to find
×, the number of tickets she can buy
if she wants to keep a $15 balance on
the gift card.

Answers

Well 100-15=85, 85/8.75=9.7142857 or if need round it
100-15=85 then divide 85 by 8.75 and yo get your answer

Will give BRAINLIEST

Answers

Answer:

It is the yellow square

Step-by-step explanation:

The purple one is in the second quadrant

The green one is in the third quadrant

The blue one is in the forth quadrant

what does the term ‘slope’ mean?

Answers

Answer:

noun

1.

a surface of which one end or side is at a higher level than another; a rising or falling surface.

Step-by-step explanation:

steepness

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x)

step one: identify two points on the line

step two: select one to be (x1,y1) and the other to be (x2,y2)

step three: use the slope equation calulate slope

2x-3=8+7(+3)

2y-3(+3)=8x+7(+3)

2y=8x+10

----- --------

2y=8x+10

y=4x+5

Answer:

m=4

To solve 5x + 2 = 1/125, you would first:

Answers

5x + 2 = 1/125
5x = 1/125-2
5x = -249/125
x= -249/625

The solution of the given equation5x + 2 = 1/125 would be equal to -229/625.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

The solution of the given equation is

[tex]5x + 2 = 1/125\\5x = 1/125-2\\5x = -249/125\\x= -249/625[/tex]

Learn more about finding the solution graphically here:

https://brainly.com/question/26254258

#SPJ2

Sue is still a waitress. If she worked 21 hours this week and made $70 in tips she didn't
make enough for her weekly pay to be above minimum wage. How much does her
employer have to pay to make up the difference and ensure that she makes minimum
wage for the week?

Answers

Answer:

more than 23.3 $

Step-by-step explanation:

if we say she will work minimum 4 hours in day that mean it will be 28 hours

so she left 7 hours behind

and she make 3.33$ per hour (70/21=3.33) so (7 * 3.33 = 23.3) she need more than 23.3$

bri bought a sweater for $7 for a 20% discount what was the original price?​

Answers

Answer:

$200

Step-by-step explanation:

20% =$40; Since 5x20%=100% just multiply 5x $40 to get the total (before discount) cost of $200

what is the answer???

Answers

Answer:

[tex] \frac{65}{97} [/tex]

Cosine ∅ = adjacent ÷ hypotenuse

Rounded to the nearest hundredth the answer is 0.670.

We know

[tex]\boxed{\sf cos\Theta=\dfrac{Base}{Hypotenuse}}[/tex]

Now

[tex]\\ \sf\longmapsto cosU=\dfrac{SU}{TU}[/tex]

[tex]\\ \sf\longmapsto cos U=\dfrac{65}{97}[/tex]

[tex]\\ \sf\longmapsto cosU=0.67[/tex]

Find the area of the circle. Round your answer to the nearest tenth. Use 3.14 or 22 for it mm area: about mm​

Answers

Answer:

3.1

Step-by-step explanation:

To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.

What is the equation of the line that passes
through the points (8,7) and (-1, -9)?

Answers

Answer:

y = 16/9x - 7 2/9

Step-by-step explanation:

lmk if you want an explanation

The same amount of trash is dumped into a landfill every day. The function below shows the total number of tons of trash n in the landfill after x days: n = 2000x 1000 What does the number 1,000 represent? Amount of trash originally in the landfill Amount of trash added to the landfill every day Rate at which the total trash increases every day Rate at which the new trash increases every day.

Answers

The number 1000 represents the amount of trash originally in the landfill.

Given that,

The same amount of trash is dumped into a landfill every day.

The function below shows the total number of tons of trash n in the landfill after x days:

n = 2000x + 1000

We have to determine,

What does the number 1,000 represent?

According to the equation,

The function is,

n = 2000x + 1000

The initial value of a function is defined as the started value of the function independent of any variables present in the function.

Here, n represent the amount of trash and x represents the number of days.

Therefore,

n = 2000x + 1000

In the equation 1000 is the number of days elapsed and 2000 represents the quantity of trash dumped each day.

Hence, The number 1000 represents the amount of trash originally in the landfill.

For more information about Equation refer to the link given below.

https://brainly.com/question/7383794

The correct answer would be A, the amount originally in the landfill.

60 devided by n=12 wwwwwwwwwwwwwww

Answers

Answer: N IS 5!!

Step-by-step explanation: TRUST ME IM GOOD AT MATH!!!!

Answer:

60 ÷ 5 = 12

So I guess 5 is the answer your looking for?

add 17 divied by 20 + 7 dived by 20 help

Answers

Answer:

1.2

Step-by-step explanation:

17 ÷ 20 + 7 ÷ 20

I hope this helps!

Will mark brainliest

Answers

Answer:

E ( 1 , -1 ) is in quadrant IV

Use the graph of △ABC with midsegments DE, EF and DF. Show that EF is parallel to AC and that EF=1/2 AC

Answers

According to the midsegment theorem, the midsegments are parallel to

and half the length of the opposite side.

The completed statement are as follows;

Because the slopes of [tex]\overline{EF}[/tex] and [tex]\overline{AC}[/tex] are both -4, [tex]\overline{EF}[/tex] ║ [tex]\overline{AC}[/tex]EF = [tex]\underline{\sqrt{17}}[/tex] and AC = [tex]\underline{2 \cdot \sqrt{17} }[/tex]Because [tex]\underline{\sqrt{17} }[/tex] = [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17} }[/tex], [tex]EF = \frac{1}{2} \cdot AC[/tex]

Reasons:

From the given graph of ΔABC, we have;

Coordinates of the points A, B, and C are; A(-5, 2), B(1, -2), and C(-3, -6)

The coordinates of the point D and E on [tex]\mathbf{\overline{DE}}[/tex] are; D(-4, -2), and E(-2, 0)

The coordinates of the point F is; F(-1, -4)

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]\displaystyle Slope \ of \ line \ \overline{AC} = \mathbf{\frac{(-6) - 2}{-3 - (-5)} = \frac{-8}{2}} = -4[/tex]

[tex]\displaystyle Slope \ of \ line \ \overline{EF} = \frac{0 - (-4)}{-2 - (-1)} = \frac{4}{-1} = -4[/tex]

[tex]Length \ of \ segment,\ l = \sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}[/tex]

Length of EF  = √((-1 - (-2))² + (-4 - 0)²) = √(17)

Length of AC = √((-3 - (-5))² + (-6 - 2)²) = √(4 × 17) = 2·√(17)

Therefore, we have;

Because the slope of [tex]\mathbf{\overline {EF}}[/tex] and [tex]\mathbf{\overline {AC}}[/tex] are both , -4, [tex]\overline {EF}[/tex] ║ [tex]\overline {AC}[/tex]. EF = [tex]\underline{\sqrt{17}}[/tex], and AC

= [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}[/tex],. Because [tex]\underline{\sqrt{17}}[/tex] = [tex]\underline{\frac{1}{2} \cdot 2 \cdot \sqrt{17}}[/tex], [tex]EF =\mathbf{ \frac{1}{2} AC}[/tex]

Learn more about midsegment theorem of a triangle here:

https://brainly.com/question/7423948

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