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dolphi86 [110]
3 years ago
7

Sinxcosy = 1/2 (sin(x+y)+cos (x-y))

Mathematics
1 answer:
sasho [114]3 years ago
8 0
<span>(1/2) [SIN(X-Y)-SIN(X+Y)]= COS(X)SIN(Y)</span>
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4. Given the points M(-3, -4) and T(5,0), find the coordinates of the point Q on directed line segment MT that partitions MT in
Firlakuza [10]

Answer:

<u><em>4 : </em></u> Coordinate of Q = (\frac{1}{5} ,\frac{-12}{5} )

<em><u>5 : </u></em>  Coordinate of point A = (-2,-2)

Explanation :

4)  Given the points M(-3, -4) and T(5,0)

x₁= -3, y₁ = -4 and

x₂ = 5, y₂ = 0

m = 2, n = 1

Now apply the section formula,

{(mx₂+nx₁)/(m+n) , (my₂+ny₁)/(m+n)}

Coordinate of point Q = (\frac{1}{5} ,\frac{-12}{5} )


5)   AB:BC = 3:4

A = (x,y),   end point

B =  (4, 1)  

C = (12, 5)      end point

So, m = 3   &   n  = 4

x₁ = x ,  y₁ = y   , x₂=12  & y₂ = 5

Apply section formula we get

4 = (36+4x)/7                              &       1 = (15 + 4y)/7

28= 36 + 4x                                        7 = 4y + 15

4x =-8                                                         4y =-8

x =  -2                                                           y = -2

5 0
3 years ago
1. Simplify. 4(2a - 1) - 4 + 7a ​
daser333 [38]

Answer:

<em><u>=15a−8</u></em>

Step-by-step explanation:

Let's simplify step-by-step.

4(2a−1)−4+7a

Distribute:

=(4)(2a)+(4)(−1)+−4+7a

=8a+−4+−4+7a

Combine Like Terms:

=8a+−4+−4+7a

=(8a+7a)+(−4+−4)

=15a+−8

Answer:

=15a−8

hope i helped

-lvr

4 0
3 years ago
In the fifth year of operation the profit of a company was 3 times the profit it earned in the first year of operation if its pr
bogdanovich [222]
Let the profit at the first year be X
3x=114000
Solve for x by dividing each side by 3

3x/3=114000/3
X=38,000

So the profit was 38000
4 0
3 years ago
Write in slope intercept form an equation of the line that passes through(-4,1), (4,3)
saul85 [17]

Answer:

Step-by-step explanation:

I know this is not your question but it may help

Question:Write an equation in Slope intercept form of the line that passes through the given  points (-3,4) (1,4)

2 Answers:

1: y=x+4

2:

answer would be “y=4”

to find the answer: first you have to find the slope with the given points. (y2 - y1 / x2 - x1)

plug it in to get: (4-4 / 1- -3) = 0/4 = 0

this means the slope would be 0

if the y intercepts are the same then it usually indicates that the slope would be 0 and that the answer is the y intercept.. but if you don’t understand how to get slope-intercept using other coordinates then here’s how:

you can use point-slope formula (y-y1 = m (x-x1) in order to do this just plug in one of the coordinates. in this case an example of point-slope form would be:

y-4 = 0 (x - -3) or y-4 = 0(x-1)

it doesn’t matter which coordinates you use..

then solve the point slope for slope-intercept.

y-4 = 0(x-3) multiply 0 with x and -3

y-4 = 0x move -4 to the right by adding 4

y = 0x + 4 or y = 4 would be your answer!

7 0
2 years ago
What is the angle measured on the protractor? Please help I’m confused. Thanks!!
sleet_krkn [62]

Answer:

85

Step-by-step explanation:

The line of the right measures 65 degrees (I think), an the line on the left measures 150 degrees. So, 150 - 65 = 85 degrees.

7 0
3 years ago
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