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Paul [167]
3 years ago
10

5x-9y-42=?(x+6)-9(y+?)

Mathematics
2 answers:
iren [92.7K]3 years ago
5 0

Answer:

5 8

Step-by-step explanation:

Coefficient of x should be 5 so first ? should be 5 let the second ? = z

5×6-9×z=-42

30+42=9z

z=8

Dmitry [639]3 years ago
5 0

Answer:

5x-9y-42=5(x+6)-9(y+8)

Step-by-step explanation:

given 5x-9y-42=5x-9y-72+30

                        =5x+30-9y-72

                        =5(x+6)-9(y+8)

                      hence 5x-9y-42=5(x+6)-9(y+8)

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The price of a video game was reduced from $70.00 to $40.00. By what percentage of the price was was the videogame reduced? Just
olya-2409 [2.1K]

Answer:

42.86%.

Step-by-step explanation:

Reduction in price = $70.00 - $40.00 = $30.00

Reduction in percentage = ($30.00 ÷ $70.00) x 100 = 42.86%

The price of the videogame was reduced by 42.86%.

8 0
4 years ago
Read 2 more answers
The Caesar Cipher of the sentence "THIS MESSAGE IS TOP SECRET."
vagabundo [1.1K]

Answer:  Option 'a' is correct.

Step-by-step explanation:

Since we have given that

"THIS MESSAGE IS TOP SECRET."

We need to use the Caesar cipher.

As in general we always take a shift of 3 keys in Caesar cipher.

so, According to shift of 3 keys it becomes,

T→W

H→K

I→L

S→V

M→P

E→H

A→D

G→J

O→R

C→F

R→U

P→S

So, it can be written as

"THIS MESSAGE IS TOP SECRET."

WKLVP HVVDJ HLVWR SVHFU  HW.

we make a set of 5 letters in a word after Caesar cypher.

Hence, Option 'a' is correct.

8 0
3 years ago
Solve this problem please<br>​
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Answer:

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3 0
3 years ago
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Che
guapka [62]
That would be :
 4x – 10 = x2 – 5x + 10  ( y = 4x - 10 is substitute for y)

 PROOF:        y + 5x = x²<span> + 10
</span>                      (4x - 10) + 5x = x² + 10
                       4x - 10  =  x² -5x + 10
     <span>
    
</span>0 = x2 – 9x + 20<span>  (liked terms are grouped and simplified)

PROOF:     </span> 4x - 10  =  x² -5x + 10
                    4x = x² -5x + 10 + 10
                     0  = x² -5x -4x + 20
                     0  = x² - 9x + 20


Solving:
              x² - 9x + 20 = 0 

              x² - 5x - 4x + 20 = 0

              (x - 5) (x - 4)  = 0

           ⇒ x = 4  (as question says) OR x = 5
     

8 0
4 years ago
Read 2 more answers
10. Two lighthouses are located on a north-south line.
Kamila [148]

The question is an illustration of bearing (i.e. angles) and distance (i.e. lengths)

The distance between both lighthouses is 5783.96 m

I've added an attachment that represents the scenario.

From the attachment, we have:

\mathbf{\angle A = 180^o - 120^o\ 43'}

Convert to degrees

\mathbf{\angle A = 180^o - (120^o +\frac{43}{60}^o)}

\mathbf{\angle A = 180^o - (120^o +0.717^o)}

\mathbf{\angle A = 180^o - (120.717^o)}

\mathbf{\angle A = 59.283^o}

\mathbf{\angle B = 39^o43'}

Convert to degrees

\mathbf{\angle B = 39^o + \frac{43}{60}^o}

\mathbf{\angle B = 39^o + 0.717^o}

\mathbf{\angle B = 39.717^o}

So, the measure of angle S is:

\mathbf{\angle S = 180 - \angle A - \angle B} ---- Sum of angles in a triangle

\mathbf{\angle S = 180 - 59.283 - 39.717}

\mathbf{\angle S = 81}

The required distance is distance AB

This is calculated using the following sine formula:

\mathbf{\frac{AB}{\sin(S)} = \frac{AS}{\sin(B)} }

Where:

\mathbf{AS = 3742}

So, we have:

\mathbf{\frac{AB}{\sin(81)} = \frac{3742}{\sin(39.717)}}

Make AB the subject

\mathbf{AB= \frac{3742}{\sin(39.717)} \times \sin(81)}

\mathbf{AB= 5783.96}

Hence, the distance between both lighthouses is 5783.96 m

Read more about bearing and distance at:

brainly.com/question/19017345

5 0
2 years ago
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