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3 years ago

8

Determine whether the following graph represents a function.

1 answer:

Nata [24]3 years ago

5 0

Answer:

yes

Step-by-step explanation:

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WILL MARK BRAINLIEST!!!!<br> Verify the identity. sin (x + y) - sin (x - y) = 2 cos x sin y

luda_lava [24]

Just apply the addition formulas:

sin(x+y) = sinx cosy + cosx siny
sin(x-y) = sinx cosy - cosx siny

now subtract. done.

or, apply the sum-to-product formula directly: sinA-sinB = 2sin((A-B)/2)cos((A+B)/2)
so, letting A=x+y and B=x-y

sin(x+y)-sin(x-y) = 2sin(((x+y)-(x-y))/2) cos(((x+y)+(x-y))/2)
= 2 siny cosx

but then, the sum-to-product formula is just based on the addition formulas anyway, so what'd you expect?

8 0

3 years ago

Find c. Round to the nearest tenth.

Tresset [83]

$\frac{ \sin(105) }{2} \times 15 = 7.2$

4 0

3 years ago

What is the volume of a rectangular prism that is 120 centimeters by 2 meters by 1.5 meters in cubic meters? 3.6 m3 3,600,000 m3

belka [17]

Answer:

360m3

Step-by-step explanation:

Equation:

v=l*w*h

v=(120)(2)(1.5)

V=360m3

5 0

3 years ago

Read 2 more answers

A sock drawer contains 5 different colors of socks.

Neko [114]

Answer:

1/5

Step-by-step explanation:

What is the probability 1/5.

3 0

3 years ago

Determine whether this pair of lines is parellel, perpendicular, or neither 6+2x=3y 3x+2y=9 Choose the correct answer below. A.

andriy [413]

Answer:

Option A. These two lines are perpendicular

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are equal

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

step 1

Convert the given equation A in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$6+2x=3y$ ----> equation A

Solve for y

That means----> isolate the variable y

Divide by 3 both sides

$y=\frac{2}{3}x+2$

so

$m_A=\frac{2}{3}$

step 2

Convert the given equation B in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$3x+2y=9$ ----> equation B

Solve for y

That means----> isolate the variable y

subtract 3x both sides

$2y=-3x+9$

Divide by 2 both sides

$y=-\frac{3}{2}x+4.6$

so

$m_B=-\frac{3}{2}$

step 3

Compare the slopes

$m_A=\frac{2}{3}$

$m_B=-\frac{3}{2}$

The slopes are opposite reciprocal (the product is equal to -1)

therefore

These two lines are perpendicular

3 0

4 years ago