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steposvetlana [31]
3 years ago
9

Evaluate the expression 2(2x-3y)-5xy where x=-2 and y=-1

Mathematics
1 answer:
icang [17]3 years ago
8 0

Answer:

-12

Step-by-step explanation:

2 (2x-3y)-5xy

4x-6y-5xy

4(-2)-6(-1)-5*-2*-1

-8+6-10

-12

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Cos x if sin x cot x =5
Brrunno [24]

Answer:

cos x = 5

Step-by-step explanation:

=  > sinx.cotx = 5 \\  \\  =  >  \cancel{sinx}. \frac{cosx}{ \cancel{sinx}}  = 5 \\  \\  =  > cosx = 5

8 0
4 years ago
2. (-5+ 6n to the 3rd power) + (1- 2n to the 2nd power)
Alja [10]
I think it would -4 + 6n to the power of 3 - 2n to the power of 2. I could be wrong. If so, you can report it as an error or something. 
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4 years ago
Find sin(a+B)
diamong [38]

Answer:

Cos A=5/13

we have

Cos² A=1-Sin ²A

25/169=1-Sin²A

sin²A=1-25/169

sin²A=144/169

Sin A=\sqrt{144/169}=12/13

again

Tan B=4/3

P/b=4/3

p=4

b=3

h=\sqrt{3²+4²}=5

Now

Sin B=p/h=4/5

in IV quadrant sin angle is negative so

Sin B=-4/5

CosB=b/h=3/5

Now

<u>S</u><u>i</u><u>n</u><u>(</u><u>A</u><u>+</u><u>B</u><u>)</u><u>:</u><u>s</u><u>i</u><u>n</u><u>A</u><u>c</u><u>o</u><u>s</u><u>B</u><u>+</u><u>C</u><u>o</u><u>s</u><u>A</u><u>s</u><u>i</u><u>n</u><u>B</u>

<u>n</u><u>o</u><u>w</u><u> </u>

<u>substitute</u><u> </u><u>value</u>

<u>Sin(A+B):</u>12/13*3/5+5/13*(-4/5)=36/65-4/13

<u>=</u><u>1</u><u>6</u><u>/</u><u>6</u><u>5</u><u> </u><u>i</u><u>s</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u>

6 0
3 years ago
A person in the audience of a reality show has an 11% chance of winning free movie tickets. What is the chance that a person in
olya-2409 [2.1K]
100%=all
all-change of wining=change of not winning
100%-11%=89% of not winning

probabilit is 89/100 that they dont win
8 0
4 years ago
*A number consisting of two digits is three times the sum of its digits. If 45 is added
stich3 [128]

Answer: The number is 27

              The system of equations is:     7x - 2y = 0

                                                                 -9x + 9y = 45

<u>Step-by-step explanation:</u>

Let x represent the number in the tens place and y represent the number in the ones place.  <u>x</u> <u>y</u>

Then 10x + y = 3(x + y)

When the digits are reversed: 10y + x = 10x + y + 45

Simplify each of the above equations and then create a system of equations:

10x + y = 3x + 3y             →        7x - 2y  = 0

10y + x = 10x + y + 45      →       -9x + 9y = 45

9( 7x - 2y  =  0)    →      63x - 18y = 0

2(-9x + 9y = 45)   →    <u> -18x + 18y </u>=<u> 90</u>

                                     45x         = 90

                                                x  =  2  

Input x = 2 into either equation to solve for y:

7x - 2y  = 0

7(2) - 2y = 0

14          = 2y

          7 = y

8 0
3 years ago
Read 2 more answers
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