E is the midpoint of DF, DE = 3x + 4 and EF = 5x - 2. Find DE, EF, and DF.

Answers

Answer 1

Since E is the midpoint of DF, DE and EF are two halves of DF. First, let's write down what we know.

DE = 3x + 4

EF = 5x - 2

DE = EF

DE + EF = DF

Now, let's plug our values for DE and EF into our first expression.

3x + 4 = 5x -2

Add 2 to both sides and subtract 3x from both sides.

6 = 2x

Divide both sides by 2

3 = x

Let's plug 3 in for x into DE.

DE = 3x + 4 = 3(3) + 4 = 9 + 4 = 13

DE = EF = 13

We can plug 13 in for DE and EF to get DF

DF = DE + EF = 13 + 13 = 26


Related Questions

please help i’m abt to break down

Answers

Answer:

4= -5v-1

5= 3x

6= 9y-6

7= h-20

8= 29w-17z

9= 8mn-2n+5m

Step-by-step explanation:

first three that you did were correct! Hope it helps!

Jen and some friends share 40 jellybeans equally. Is the number that each friend gets greater than 40 or less than 40? Explain

Answers

Answer:

Less

Step-by-step explanation:

Interpreting this, total is 40, so if you are splitting that with multiple people, it can't be more than 40.

Which of the following is a solution to the inequality?5x-10<20

Answers

Answer:

x < 6

Step-by-step explanation:

5x - 10 < 20

5x < 30

x <6

hope that helps

Write the answer without using exponents? -9^3

Answers

Answer:

1/729

Step-by-step explanation:

a negative exponent is fractioned like 1/9^3. Which can be simplified as 1/729 ans 9^3 = 729

there were 450 balloons in all a total of 60% were used to how many were used​

Answers

Let used balloon be x

[tex]\\ \sf\longmapsto x=60\%\:of\:450[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{60}{100}\times 450[/tex]

[tex]\\ \sf\longmapsto x=45(6)[/tex]

[tex]\\ \sf\longmapsto x=270[/tex]

Step-by-step explanation:

Solution,

Let the number of used balloons be x,

Given:-

Total number of balloons= 450Used percentage of balloons= 60%

Now,

Number of used balloons(x)=

60% of 45060/100×450270

Hence, 270 balloons were used.

Solve 7x- c= k for x.
O A. x = 7(k-c)
O B. x =
*=***
O C. x = 7(k+ C)
K-c
O D. X=
7
- KM

Answers

the answer is in the photo

3p squared + 6p + 18 divided by p - 6

Answers

9514 1404 393

Answer:

  3p +24 +162/(p-6)

Step-by-step explanation:

The result of the division can be found using polynomial long division, or using synthetic division. The latter requires less writing and gives the same answer:

  [tex]\dfrac{3p^2+6p+18}{p-6}=3p+24+\dfrac{162}{p-6}[/tex]

Write 2100 in scientific notation.

Answers

2.1 x 10 to the third power
There hope that helps

HELP!!! LOTS OF POINTS AND I GIVE BRIANLEST NO FAKE ANSWERS
Choose the missing step in the given solution to the inequality −x − 10 > 14 + 2x.

−x − 10 > 14 + 2x
−3x − 10 > 14
_____________
x x < −8

a)−3x > 24

b)−3x > 4

c)−3x > −4

d)−3x < 24

Answers

-x - 10 > 14 + 2x

-x - 2x > 14 + 10

-3x > 24

Answer: A

Hey there! Here's your answer:

The missing steps are :  -3x > 24

Here's why:

The inequality is: -x - 10 > 14 + 2x

Now, we need to find the solution of the given inequality:

= x - 10 > 14 + 2x

Subtracting 2x from both the sides:

= -x - 10 - 2x > 14 + 2x - 2x

= -3x - 10 > 14

Adding 10 on both the sides:

= -3x - 10 + 10 > 14 + 10

= -3x > 24

Now, dividing both the sides by -3:

= x < -8

Therefore, the missing steps are:  -3x > 24

Hope this helps!

Can anyone help me with this

Answers

Answer and Step-by-step explanation:

This graph is a One to One Function.

For a function to be one-to-one, each x value must have its own y-value, which is the case for this graph.

The y value of a point where a vertical line intersects a graph represents an output for that input x value. If you draw a vertical line on the graph, and it intersects more than once, then the graph does not define as a function because that x value has more than one output (y).

#teamtrees #PAW (Plant And Water)

I hope this helps!

Dose anyone know how to solve this?

Answers

Answer:

Derivative of any constant is zero

you can solve it by first derivative rule

Answer:

Derivative of any constant is zero

Step-by-step explanation:

A regular hexagon is a six sided figure with all sides equal and all six angles equal. Find the length of the sides if the perimeter of the regular hexagon is 396 yd.

Answers

Answer:

sides = 61.5 yd

Step-by-step explanation:

hopefully the picture I have attached us clear and understandable

:)

plot function f on the graph f(x) = |1/2x - 2|​

Answers

Answer:

See attached

Step-by-step explanation:

Given function:

f(x) = |1/2x - 2|​

The function is plotted and it is below.

The graph of the function f(x) = | (x/2) - 2 | is attached with the answer the lines of the function meet at point 4 at the x-axis.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The graph of the function f(x) = | (x/2) - 2 | is attached with the answer the lines of the function meet at point 4 at the x-axis.

Therefore graph of the function f(x) = | (x/2) - 2 | is attached with the answer the lines of the function meet at point 4 at the x-axis.

To know more about graphs follow

https://brainly.com/question/25020119

#SPJ2

baseand power : (-4(−4/8)²​

Answers

300000000030000000030000

At the gift shop they sell small grettong card and large greeting cards. The cost of small ones are 1.80 and the cost of large ones are 4.40. How much does it cost to get 5 small ones

Answers

Answer:

$9

Step-by-step explanation:

Since the question only asks for small ones, we only need to focus on 1.80 and 5. Multiple them. 1.80×5 and we get 9. 1.80×5=9

simplify 3√578 - √162 + 4√32

Answers

[tex]3\sqrt{578}-\sqrt{162}+4\sqrt{32}=\\\\=3\sqrt{289\cdot2}-\sqrt{81\cdot2}+4\sqrt{16\cdot2}=\\\\=3\sqrt{17^2\cdot2}-\sqrt{9^2\cdot2}+4\sqrt{4^2\cdot2}=\\\\=3\cdot17\sqrt2-9\sqrt2+4\cdot4\sqrt2=\\\\=51\sqrt2-9\sqrt2+16\sqrt2=51\sqrt2+7\sqrt2=\boxed{58\sqrt2}[/tex]

Help asap plz first answer get brainliest

Answers

Answer:

Use a mixed fractional calculator. No one is gonna help u with this many questions...

https://www.calculatorsoup.com/calculators/math/mixednumbers.php

GL

Step-by-step explanation:

Understanding Square and Cube Roots - Item 31415
Ques
Drag numbers to complete the table for missing values of x. x and x?.
LEER
25
3
27
81
15
19
х
*2
23
9
DRAG AND DROP
• AN ITEM HERE
DRAG AND DROP
AN ITEM HERE
125
5
DRAG AND DROP
AN ITEM HERE

Answers

Answer:First: 3Second: 25Third: 81Hope this helps!! <3 :)

for each function, what is the output of the given input?
For f(x) = -5x +1, find f(3).

a. -16
b. -14
c. -2
d. 16

Answers

Answer:

b. -14

Step-by-step explanation:

x is now 3

so -5(3)+1 = -14

When there is -2^2, how come the answer is negative and not positive.

Answers

Answer:

the negative cancels out the positive

Given the list of numbers, 3, 2, 6, 3, 9, 5, 12, 7, if the pattern continues, what is the sum of the ninth and tenth numbers?

Answers

Answer:

Step-by-step explanation:

Every other one beginning with the first 3 adds 3 to the preceding number that has an odd position.

So the odd positions go up 3 6 9 12

And the next odd position is 15 which is the nineth term.

It's hard to tell what the even ones are doing. It could be anything just about. I'm guessing its a 9. So the tenth term is 9.

The sum of 9 and 15 = 24

If someone gives you a more consistent answer, take it.

WILL GIVE BRAINLEST
Slove f(-4) if f(x) = -4x -2
Give Step by Step pls.

Answers

Answer:

Use the given functions to set up and simplify f(−4).

14

Step-by-step explanation:

Plug x + h into the function f and simplify to find f(x + h). Now that you have f(x + h), find f(x + h) - f(x) by plugging in f(x + h) and f(x) and simplifying. Plug your result from step 2 in for the numerator in the difference quotient and simplify.

https://study.com/academy/lesson/how-to-solve-the-difference-quotient.html

An apple juice factory produced 6,425.51 gallons of apple juice in 4 days. How much apple juice, on average, did the factory produce each day? ​

Answers

6426.51/4 = one day
= 1,606.6275 gallons/day

An investment of $500 earns $70 simple interest after 6 years. To the
nearest tenth of a percent, what is the interest rate?

Answers

Answer:

Rate of interest is 2.3%

Q1. In my wallet I have six notes in total, four are $50 notes and the rest are $20 notes. Write the ratio of $50 notes to $20 notes.

Answers

The answer is 4:2 because 6-4=2 and 50 was listed before 20

Theodore invests a total of $19,500 in two accounts paying 8% and 15% simple interest, respectively. How much was invested in each account if, after one year, the total interest was $2,400.00
A) Enter an equation that uses the information as it is given that can be used to solve this problem. Use x as your variable to represent the amount of money invested in the account paying 8% simple interest.

Answers

Answer:

[tex]x+y=19500,\:0.08x+0.15y=2400\quad :\quad x=7500,\:y=12000[/tex]

Step-by-step explanation:

x + y = 19500

.08x + .15y = 2400

The box office manager said about 5,000 people attended the show. Write a number that could be the actual attendance. If he correctly rounded to the nearest hundred

Answers

9514 1404 393

Answer:

  4983

Step-by-step explanation:

Your answer could be any value between 4950 and 5049, inclusive. Below 4950 rounds down; 5050 and above rounds up.

What is the LCM of 42 and 63?

Please show work! I'm very confused and don't understand.

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\rm{LCM\ (aka\ Lowest\ Common\ Multiple)\ is\ the}}\\\huge\boxed{\rm{lowest\ positive \ number\ has \ a \ multiple}}}\\\huge\boxed{\rm{of\ more\ than\ one\ number.}}[/tex]

[tex]\huge\boxed{\rm{The\ multiples\ of\ 42\ are: 42, 84, 126, 168, \& \ 210}}[/tex][tex]\huge\boxed{\rm{The \ multiples \ of \ 63\ are: 63, 126, 189, \& \ 252}}[/tex]

[tex]\huge\boxed{\rm{Therefore, your\ answer\ is: 126}}}[/tex]

[tex]\huge\boxed{\text{Good luck on your assignment \& enjoy your day,}}[/tex]

~[tex]\huge\text{Amphitrite1040:)}[/tex]

please help me, if you help then thanks!

Answers

9514 1404 393

Answer:

  k = 3

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

__

Using these rules, we can simplify the left-side expression, then equate exponents of the same base.

  [tex](3)^2(3^2)^k=3^8\\\\(3^2)(3^{2k})=3^8\\\\3^{2k+2}=3^8\\\\2k+2=8\qquad\text{equate exponents}\\\\k+1=4\qquad\text{divide by 2}\\\\\boxed{k=3}\qquad\text{subtract 1}[/tex]

Find the distance between the points
AC-3, 2) and B (5,7) to the nearest
hundredth.

Answers

Answer:

Step-by-step explanation:

d=[tex]\sqrt{(5+3)^{2} +(7-2)^{2} }[/tex]

 =[tex]\sqrt{(8)^{2}+(5)^{2}}[/tex]

 =[tex]\sqrt{64+25}[/tex]

 =[tex]\sqrt{89}[/tex]

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