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Andrews [41]
2 years ago
7

Add the sum and difference identities for sin x to derive 1/2 [sin(x+y)+sin(x-y)]=sin x cos y

Mathematics
1 answer:
Solnce55 [7]2 years ago
3 0

Answer:

true

Step-by-step explanation:

1/2 (sin(x+y)+sin(x-y))

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

= 1/2 * 2 sin x cos y

= sin x cos y

The expression is true.

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Find the greatest common factor 7x^3a+7x^2a^2
muminat

Answer:

7x^2a

Step-by-step explanation:

7x^3a+7x^2a^2

7x^3a = 7 xxxa

7x^2a^2= 7 xxaa

The common terms are 7xxa

7x^2a

This is the greatest common factor

6 0
3 years ago
What is the vertices of hexagon<br>​
nata0808 [166]
Number of vertices of hexagon is 6
5 0
2 years ago
Read 2 more answers
Write the equation of a Line that is perpendicular to y=5/2x+3 and passes
koban [17]

Answer:

Step-by-step explanation:

Slope of perpendicular lines = -1

y = 5/2x + 3

m_{1}=\frac{5}{2}\\\\m_{1}*m_{2}=-1\\\\

        m_{2}= -1 ÷ m_{1}

               = -1*\frac{2}{5}=\frac{-2}{5}

(-3 , -5)

Equation of the required line: y - y₁ = m(x -x₁)

                                                y - [5] = \frac{-2}{5}(x - [-3])\\

                                               y+5=\frac{-2}{5}x + 3*\frac{-2}{5}\\\\y+5=\frac{-2}{5}x-\frac{6}{5}\\\\   y =\frac{-2}{5}x-\frac{6}{5}-5\\\\   y = \frac{-2}{5}x-\frac{6}{5}-\frac{5*5}{1*5}\\\\ y = \frac{-2}{5}x-\frac{6}{5}-\frac{25}{5}\\\\\\ y=\frac{-2}{5}x-\frac{31}{5}

5 0
3 years ago
What number would you add to both sides of x2 + 7x = 4 to complete the square?
Nata [24]

Answer:

12.5

Step-by-step explanation:

(7/2) = 3.5

(3.5)^2 = 12.5

8 0
3 years ago
Find the value of a and YZ if Y is between X and Z. XY = 7a, YZ = 5a, XZ = 6a + 24 = YZ =​
Aleksandr-060686 [28]
  • x-y-z

\\ \sf\longmapsto XY+YZ=XZ

\\ \sf\longmapsto 7a+5a=6a+24

\\ \sf\longmapsto 12a=6a+24

\\ \sf\longmapsto 12a-6a=24

\\ \sf\longmapsto 6a=24

\\ \sf\longmapsto a=\dfrac{24}{6}

\\ \sf\longmapsto a=5

  • YZ=5a=5(5)=25
5 0
2 years ago
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