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olga55 [171]
3 years ago
7

The sum of the two numbers is 12. The difference is 18. Write a system of equations to represnt the statement and what are the t

wo numbers​
Mathematics
1 answer:
Kazeer [188]3 years ago
4 0
X = 15 and Y = -3 because X + Y = 12
X - Y = 18
__________
2X = 30
X = 15
15 + Y = 12
Y = -3
You can substitute the X value into either equation from the first two equations
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Prove the identity.<br> secx- cos x = sin x tan x
Mandarinka [93]

Answer:

LHS = RHS

Step-by-step explanation:

\sec(x)  -  \cos(x)  \\  =  \frac{1}{ \cos(x) }  -  \cos(x)  \\  =  \frac{1 -  { \cos(x) }^{2} }{ \cos(x) }

Since

{ \sin(x) }^{2}  +  { \cos(x) }^{2}  = 1 \\ 1 -  { \cos(x) }^{2}  =  { \sin(x) }^{2}

Therefore,

\frac{1 -  \ { \cos(x) }^{2} }{ \cos(x) }   \\ =  \frac{  { \sin(x) }^{2} }{ \cos(x) }  \\  =   \frac{ \sin(x )  \times  \sin(x) }{ \cos(x) }  \\  =  \sin(x)  \tan(x)

Therefore LHS = RHS

8 0
4 years ago
Caleb surveyed students in his high school and ask them to name their favorite kind of music. The results are shown.
Elanso [62]

Answer:

<u>Option A. 0,1,2,3,4</u>

Step-by-step explanation:

The rest of the question is the results of survey, the results is as following:

Rock 50%

Country 30%

Hiphop 10%

Classical 10%

<u>Solution:</u>

Caleb signs the numbers zero through nine to the music category and uses a random number generator on his calculator.

So, the number of digits from 0 to 9 = 10

Since 50% represents the number of students interested in Rock, So, he want to have 50% of the digits to represent Rock.

50% of 10 numbers is 5 numbers.

So, The option which has 5 digits is option A. 0,1,2,3,4

7 0
4 years ago
What is $133.04 times $165.72
Reika [66]
22047.3888. . . jfjfjfnfnf
5 0
4 years ago
Hannah was adding 5 plus -4. When explaining her work she said that the sum is 9 because you add the numbers and take the sign o
Scilla [17]

Answer:

The sum is 1

Step-by-step explanation:

When you add a negative number to a positive number, it is basically just subtracting the negative from the positive. To make it simple, 5 + -4 is just 5 - 4.

Hannah was wrong in saying you take the sign of the larger number because it would not matter if the first number was a million, the signs don't change based on the size of numbers.

6 0
4 years ago
-1/2+ 2/3 plz tell meh i think imw rong
ira [324]

1/6

Basically -3/6 + 4/6

6 0
4 years ago
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