If DE = 4 x + 10, EF = 2 x -1, and DF = 9 x - 15, what is the length of DF?

Answers

Answer 1

Answer:

DF = 57

Step-by-step explanation:

DE + EF = DF

(4x + 10) + (2x - 1) = 9x - 15

Combine like terms on the left side

6x + 9 = 9x - 15

Subtract 6x on both sides

9 = 3x - 15

Add 15 on both sides

24 = 3x

Divide by 3 on both sides

x = 8

DF = 9x - 15 = 9(8) - 15 = 72 - 15 = 57

Checking:

(4(8) + 10) + (2(8) - 1) = 9(8) - 15

(32 + 10) + (16 - 1) = 72 - 15

58 - 1 = 72 - 15

57 = 57

Answer 2

Answer:

DF= DE+EF

9x–15 = (4x+10)+(2x-1)

9x–15 = 6x +9

9x–6x= 9+15

3x = 24

x=24/3

x=8

DF = 9x –15 = 9(8)–15= 72 –15 = 57

So; DF = 57

I hope I helped you^_^


Related Questions

What is 6 tenths, 2 hundredths, 8 thousandths in standard form?

A.0.0628 B.0.628 C.6.28 D.628

Answers

Answer:

B: 0.628

Step-by-step explanation:

Place value rules.

The value of each digit in a number is known as the place value. The number that has 6 tenths, 2 hundredths, and 8 thousandths can be written in the standard form as 0.628. The correct option is B.

What is the place value of a digit in a number?

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10

Given 6 tenths, 2 hundredths, 8 thousandths, this can be written in the standard form as,

Standard form = 0.6 + 0.02 + 0.008 = 0.628

Hence, the number that has 6 tenths, 2 hundredths, and 8 thousandths can be written in the standard form as 0.628.

Learn more about the Place Value here:

https://brainly.com/question/27734142

#SPJ2

a rectangle room has an area of 400 square feet. the length is 7 feet less than twice the width. find the dimensions of the room.

Answers

2800 x 7 That’s what I’m guessing

10
(i)
(ii)
Express 17 150 as a product of its prime factors in index notation.
[1]
Find the smallest integer n, such that 17 150n is a perfect square.
[1]
5x17150
It is given that
is a prime number. State all possible integer values of x.
(iii)
CTX 120167

Answers

Answer:

[tex]ii)\\a) 17150=2*5^2*7^3\\b) 17150*n=k^2 ==> n=2*7=14\\\\iii)\\\sqrt[3]{\dfrac{5*2*5^2*7^3}{n} } =7*5*\sqrt[3]{\dfrac{2}{n} } \\\\1)\ n=2*5^3=250\\2)\ n=2*7^3=686\\[/tex]

You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into two equal pieces that are 3.1 feet long, if the remaining piece needs to be 2.27 times longer than the each of the first two cuts what length board should you buy? Round to the nearest tenth

Answers

Answer:

the answer might be 20

Step-by-step explanation:

first you add 3.1 to 3.1 to get 6.2

then you multiply 6.2 by 2.27

then you add the answer you get from that to 3.1+3.1 to get the final length ‍to be 20.274 and that would be 20 in the nearest tenth

2 x 2 x1000000 x4000 x90 x091

Answers

Answer:

131040000000000

Step-by-step explanation:

calculator :)))

The answer is 1.3968 to the 14th power

1.39680000000000^14

URGENT!! Please help me
Draw the answer on and explain if you can please
Thanks a lot!!

I already filled in the 12345 but I need help on the top row.​

Answers

Answer:

Step-by-step explanation:

Evaluate the expression, given functions f and h:  

f(x) = 3x − 1,

 

h(x) = −2x2 + 3x − 2.

f  

7

3

− h(−2)

Answer:

2.5 5 7.5 10 12.5

Step-by-step explanation:

b) 2.5*6=15

HELPPP MEE OUT PLZZZZZ

Answers

its 54 , they gave you one answer and you know its a right angle. You do 90 - 36 and get 54 :)

can someone help me please?

Answers

Hi :)

15x^12/18x^2

Factor 3 out of 15 and 18

3(5x^12)/3(6x^2)

Divide

5x^10/6

Answer:

[tex] \frac{15 {x}^{12} }{18 {x}^{2} } \\ \frac{15}{18} \times \frac{ {x}^{12} }{ {x}^{2} } \\ \frac{5}{6} \times {x}^{12- 2} \\ \frac{5}{6} \times {x}^{10} \\ \frac{5 {x}^{10} }{6} [/tex]

13 x − y 13 x - y given that x = 11 x = 11 and y = 18 y = 18

Answers

Answer:

125

Brainliest, please!

Step-by-step explanation:

13x - y

x = 11, y = 18

13(11) - 18

143 - 18

125

Answer:

125

Step-by-step explanation:

13x - y

Substituting x = 11 and y = 18,

=> 13(11) - 18

=> 143 - 18

=> 125

Determine the vertical distance and horizontal distance of P(-2,1) and Q(8,7).

Answers

Answer:

5.830952 should be the answer  

Step-by-step explanation:

Half a watermelon and a half pound of cherries cost $3.09. A whole watermelon and two pounds of cherries cost $8.16. Find the cost of each type of fruit. (Find the cost of cherries per pound)

Answers

Answer:

each watermelon=$1.98, each pound of cherry=$4.2

Step-by-step explanation:

all step by step explaination is in picture.

Tim scored 15 points playing a boardwalk game. His next turn he lost 23 points. How many points does Tim have now?

Answers

Answer:

Tim has -8 points.

Step-by-step explanation:

15 - 23

Another way to solve for this is reversing the order the numbers are shown:

23 - 15

Just remember the answer will be negative because Tim is losing more points than he originally had.

-8

I would love to know how to do this

Answers

The answer is C .
Hope it helps
Answer: C
First you solve the question as it is written, x=6, then you multiply 2x-4 by -1 and solve like that to get both answers

Please mark brainliest

Pls help me sry for asking so much..

Answers

Answer:

Z = 3/2

Hope it helps!! :)

solve for x
4x+5x-2x=42​

Answers

Answer:

if 4x+5x-2x=42 then the value of x=6

727÷9 Pleaase HEEEELLLPPP!!!!!!!!

Answers

Answer:

80.77777778

Step-by-step explanation:

when dividing 727 by 9, think about how many times does 9 go into 7? none.

next how many times does 9 go into 72? 8 times!

but since we have established 9 cannot go into 7 we need to know how many times does 9 go into 727, since it goes into 72 8 times already try adding a zero behind that 8. So what is 80(9)? it's 720. So the answer would be 720 with a remainder of 7. :)

ASAP PLS

1. Using the figure below to answer the question. If the sector (APB) has an area of 7pi and m<APB = 44°, find the radius length for circle P. (answer choices are 6.35, 9.27, 7.57, and 9.7)​

Answers

Answer:

7.57

Step-by-step explanation:

the area = 44/360 × π × r²

7 π = 44/360 × π× r²

eliminate π

7 = 44/360 x r²

r² = 7× 360/44

r² = 57.27

r =√57.27 = 7.57

Some students charted the weight of sports equipment for an experiment. What is the total weight of the basketball, football, and volleyball equipment in pounds?

Answers

Answer:

All together its 3 pounds total of all the weights if it not, then its 1.375oz for Basketball, 1oz for Football, and 0.625 for Volleyball

Step-by-step explanation:

Convert the Oz to pounds and add them.

please help angles on a Cartesian plane

Answers

Answer:

a) 16/25

b)3/2

Step-by-step explanation:

all explaination is in picturw below

What is the difference between 34343 and 1212

Answers

Answer:

33131

Step-by-step explanation: 34343-1212= 33131

Hi! I'm happy to help!

To find the difference, means to use subtraction. So, to solve this, we need to subtract.

34343-1212=33131

The difference between 34343 and 1212 is 33131.

I hope this was helpful, keep learning! :D

What is the surface
area of a beach ball
with a diameter of 20
inches?

Answers

Step-by-step explanation:

diameter =20inches

radius =20/2=10 in

Surface area of sphere, A = 4πr²

π=3.14

area = 4×3.14×(10)²

area=1,256 in²

Sketch the graph of y=-4(x+4)^2+4 and identify the axis of symmetry.​

Answers

Answer: (-4,4) is the vertex.  The graph is symmetrical to the x = -4 line.

Step-by-step explanation:

Graph the equation using DESMOS.

Solve 4(x + 1) = 4x + 4

Answers

Answer:

x is all real numbers

Step-by-step explanation:

4(x + 1) = 4x + 4

Distribute

4x+4 = 4x+4

Subtract 4x from each side

4x+4-4x = 4x+4-4x

4=4

This is always true so there are infinite solutions

x is all real numbers

how to Calculate the value of the angles indicated by small letters

Answers

Answer:

all you need to do is to follow steps . you can also use trigonometric ratios to get your unknown angle or using cosine rule and sine rule.

How do you find the slope of a line given the points ( -1 , -1 ) and ( 5 , -3 ) on the line?

Answers

Answer:

-1/3

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-3-(-1)/5-(-1)

-2/6

-1/3

Best of Luck!

cosA.cosB-sin. is same aso Sin * (A + B) b. Sin * (A - B) d. Cos * (A - B) c. Cos * (A + B)

Answers

Sorry i think like that the answer n sorry my write bad.

Thaks for your poin

how do you right two million four hundred thousand fifty six

Answers

Answer:

2,400,056

Step-by-step explanation:

Answer:

2,400,056

Step-by-step explanation:

2 million= 2,000,000

four hundred thousand=400,000

fifty-six=56

How would you write the expression "6 is less than a number tripled?"

Answers

Answer:

3q

Step-by-step explanation:

i think

Answer:

6< 3x

[where 3x = a number tripled]

wt is the difference between 1/3 of 18 and 2/5 of 40

Answers

Answer:

1) 6/10

2) 16/100

Step-by-step explanation:

1/3x18

2/5x40

of = multiply

Answer:

10

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] × 18 = 18 ÷ 3 = 6

[tex]\frac{2}{5}[/tex] × 40 = (40 ÷ 5) × 2 = 8 × 2 = 16

Difference = 16 - 6 = 10

Fimd the hcf of 144,384 and 432 by division method. ​

Answers

48..................

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