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iren [92.7K]
2 years ago
7

Which of the following expressions does sin(x + y) - sin(x - y) simplify to?

Mathematics
1 answer:
Musya8 [376]2 years ago
5 0

The answer choice which sin(x + y) - sin(x - y) simplifies to is; 2(cos x)(sin y).

<h3>Which of the following expressions does sin(x + y) - sin(x - y) simplify to?</h3>

It follows from the task content that the expression given in the task content can be simplified by trigonometric identities as follows;

sin(x + y) - sin(x - y) = sinxcosy + cosxsiny - (sinxcosy -cosxsiny)

= 2cosxsiny.

Read more on trigonometric identities;

brainly.com/question/7331447

#SPJ1

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Solve the following system of equations using the substitution method.
sergey [27]

Answer:

y=1; x=2

Step-by-step explanation:

Substitution:

x=2y

2x+5y=9

=> if x=2y, plug in the x value into other equation, so

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2(2y)+5y=9

4y+5y=9

9y=9

y=1

You have the Y value, so now solve for X

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plug in y value to x=2y

so x=2(1)

x=2

5 0
3 years ago
Which equation describes the sum of the vectors plotted below?
Alex787 [66]

Answer: A) \   3\vec{x} -2\vec{y}  

Step-by-step explanation:

The resultant can be calculated using triangular law of vector addition as :

\rm \vec{r}=\vec{AB} +\vec{AC}=2x+y+x-3y=\boxed{3x-2y }

8 0
3 years ago
Luke and Joshua work at a dry cleaners ironing shirts. Luke can iron 35 shirts per
aniked [119]

Answer:

Step-by-step explanation:

Let x be the number of hours worked by Joshua.

Shirts ironed by Joshua in an hour = 25

Number of shirts ironed by Joshua in x hours = 25x

The number of hours worked by Luke = (x + 3)hours

Shirts ironed by Luke in an hour = 35

No. of shirts ironed by Luke in x hours = 35*(x + 3) = 35x+35*3 = 35x + 105

No. of shirts ironed by Luke and Joshua = 345

25x + 35x +105 = 345

60x = 345 - 105

60x = 240

x = 240/60

x = 4 hours

The number of hours worked by Joshua = 4 hours

The number of hours worked by Luke = 4 +3 = 7 hours

5 0
3 years ago
Read 2 more answers
Would appreciate any help with question 7.
gregori [183]

Answer:

Hello!!

What is the relationship between the number of sides of a regular polygon and its rotational order ?

the number of sides= rotational order

Hope this helps!!

4 0
3 years ago
PLEASE PLEASE HELP ME:(( I NEED WORKING AS WELL
mr Goodwill [35]

the equation of the line has form

y=kx+b

\left \{ {{5=k*0+b} \atop {9=k*2+b}} \right. \\b=5\\9=2k+5\\2k=4\\k=2, so

y=2x+5

The second line is parallel to the first and runs 7 units lower, so b=5

0=1k+5\\k=-5\\y=-5x+5

8 0
3 years ago
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