Solve each equation by factoring 6k2+21=27k

Answers

Answer 1

Answer: $6k^2+21=27k\n\n 6k^2-27k+21=0\ \n\n3(2k^2-9k+7)=0\n\n3(2k^2-2k-7k+7)=0\n\n3[2k(k-1)-7(k-1)]=0\n\n3(k-1)(2k-7)=0\ \ \ \Leftrightarrow\ \ \ k=1\ \ \ or\ \ \ k=3.5$

Answer 2

Answer: (3k+7)(3k-3) is the answer. Subtract 27k from each side to get 6k2-27k+21, and then factor through

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I don't get this one look at the attachment and help me?
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How much is a 1914 50 mark note worth

Answers

Step-by-step explanation:

Oh no entiendo nada todavía

Answer:

Depends on the wear. But ~ $5 to $20 USD

Step-by-step explanation:

The value of a 1914 German 50 Mark banknote can vary widely depending on its condition, rarity, and demand among collectors. In September 2021, a 1914 50 Mark German banknote in average to good circulated condition might be worth between $5 to $20 USD. However, if the banknote is in excellent condition with minimal wear and is considered rare due to specific features or historical significance, its value could be significantly higher.

A rectangle has an area of 40 square units. The length is 6 units greater than the width.

Answers

Let

x------> the length of the rectangle

y------> the width of the rectangle

A-----> area of the rectangle

we know that

The area of rectangle is equal to

$A=x*y\nA=40\ units^(2)$

$40=x*y$ --------> equation $1$

$x=6+y$ --------> equation $2$

Substitute equation $2$ in equation $1$

$40=[6+y]*y\n 40=6y+y^(2) \ny^(2) +6y-40=0$

using a graph tool-----> to resolve the second order equation

see the attached figure

the solution is

$y=4$

Find the value of x

$x=6+y\n \n x=6+4=10\ units$

therefore

the answer is

The length of the rectangle is equal to $10\ units$

The width of the rectangle is equal to $4 \ units$

possible dimensions:
40 x 1
20 x 2
4 x 10
5 x 8

since 10 is 6 more than 4, the length is 10 and the width is 4

What statement makes the open sentence 2.4 = 6x true?a. x = 4.0
b. x = 2.5
c. x = 0.4
d. x = 0.2

Answers

C. 0.4 times 6 is 2.4. Hope that helps.

Your answer is C. x = 0.4

Hope this helps.

What is the next value 1 I 2 L 3 F 4

Answers

Based on the pattern, 1 I 2 L 3 F ... the number corresponds to the number of lines of the letter. 1 refers to the vertical line in I. 2 refers to the vertical and horizontal lines that form L. 3 refers to the vertical and 2 horizontal lines that form F. So, 4 will most likely refer to E, one vertical line and 3 horizontal lines.

Final answer:

The sequence provided isn't clear in its pattern between numbers and letters. The pattern doesn't match recognizable numerical patterns and may require additional context or information to decode. Therefore, the next value in this sequence is unclear.

Explanation:

The pattern in the sequence 1 I 2 L 3 F 4 seems to be pairing a number with a corresponding alphabetical character. However, the association between the numbers and characters is not directly clear from the given sequence. Applying a numerical pattern might provide a logical solution, but the provided information doesn't seem to align with common numerical patterns.

For example, if we map the alphabetical sequence to numbers (where A=1, B=2, C=3, etc.), we don't get a recognizable pattern. It appears the sequence might involve a more complex pattern or it's possible there could be a typo or error in the question. If this is a question related to cryptography or coding, additional information may be required to decode the sequence.

Unfortunately, without more context or information, it's challenging to definitively determine the next value in the sequence. Regardless, always ensure to look out for patterns in terms of the positions and values of the numbers or letters in a sequence.

Learn more about Pattern Analysis here:

brainly.com/question/32467872

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The Sine and Cosine RulesRight-angled triangle Trigonometry
Please note your working out with your answer, thank you.

Q11) A lifeguard on top of an observation tower 12.5m high notices a surfer in trouble at an angle of depression of 8 degrees. How far, correct to one decimal place, is the surfer from the tower?

Q13) A boat is 420m from the base of the cliff. The angle of depression of the boat from the top of the cliff is 28 degrees. Find the height of the cliff to the nearest metre.

Answers

Hello,
I am not doing that with sin, cos and pythagorean theorem.

DEFINITION: we call TAN x=sin x / cos x
This means that in a right triangle the tangent of an angle is the ration of opposed side by adjacent side.

11: tan 8°=12.5/d
==>d=12.5/tan 8°=12.5/0.14054...=88.942121...m≈88.9 (m)

12:
tan 28°=h/420
==>h=420*tan 28°=420*0.5317...=223.3179...≈223.3 (m)

The orthocenter of an obtuse triangle always lies __________.A.on a vertex of the triangle
B.on the inside of the triangle
C.on the outside of the triangle
D.on the triangle

Answers

the correct answer is D

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