Which equation describes the line that contains the points (7, 17) and (15, 33)?

The sum of two numbers is equal to 11 and the difference is 19. What are the two numbers?

charle [14.2K]

$\bold{\huge{\pink{\underline{ Solution }}}}$

We have given in the question that, 

The sum of 2 numbers is equal to 11
The difference between two numbers is 19 .

$\bold{\underline{ To \: Find }}$

We have to find the value of x and y.

$\bold{\underline{ Let's \: Begin }}$

Let the two numbers be x and y

According to the question, 

$\sf{ x + y = 11......eq(1) }$

$\sf{ x - y = 19......eq(2) }$

Solving eq( 1 ) we get :- 

$\sf{ x + y = 11 }$

$\sf{ x = 11 - y ......eq(3 ) }$

Subsituting eq(3 ) in eq(2) :-

$\sf{ x - y = 19 }$

$\sf{ ( 11 - y) - y = 19 }$

$\sf{ 11 - y - y = 19 }$

$\sf{ 11 - 2y = 19 }$

$\sf{ - 2y = 19 - 11 }$

$\sf{ - 2y = 8}$

$\sf{ y = 8/(-2) }$

$\sf{ y = - 4 }$

$\sf{\red{Thus ,\: the\: value\: of \: y = -4}}$

Now, Subsitute the value of y in eq( 3 ) :-

$\sf{ x = 11 - y }$

$\sf{ x = 11 - (-4 ) }$

$\sf{ x = 11 + 4 }$

$\sf{ x = 15 }$

Hence, The value of x and y are 15 and (-4) .

5 0

3 years ago

Use ΔABC to find the value of cos B A) 12/13 B) 12/5 C) 5/13 D) 5/12

Ivanshal [37]

Answer:

C) 5/13

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the cosine ratio is ...

Cos = Adjacent/Hypotenuse

For the given problem, this means ...

cos(B) = BC/BA = 15/39

cos(B) = 5/13

7 0

3 years ago

Luke has a 28 pound block of ice for his snow cone stand. each snow cone needs 2/3 pounds of ice

ozzi

42 should be your answer because you will be dividing 28 and 2/3

8 0

4 years ago

In a race, karen rode her bike for 1 hours

Zina [86]

Karan swam and biked for a total of 1 hour and 45 minutes.

let's say 60=100 for a total of 100 equaling 1 hour.

Therefore, 100+45= 145

4 0

2 years ago

Pleeeeez help thank you

-Dominant- [34]

Answer:

C

Step-by-step explanation:

The book at store A is $13.

5% tax means you pay 5 cents extra per dollar.

13*5= 65.

So so far your total is $13.65

The shipping fee is $3

$3+$13.65= $16.65

The book at store B is 15% off, with no extra charge

%15 of $19 is 2.85.

19-2.85 is 16.15

pls brainliest

i rushed at the end

7 0

3 years ago

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