For the straight line defined by the points ( 3 , 51 ) (3,51) and ( 5 , 87 ) (5,87) , determine the slope ( m m ) and y-intercept ( b b ). Do not round the answers.

Answer:

its 1.8

Step-by-step explanation:

Answer:

answer is 1271.1 inches

plz mark my answer as brainlist and plzzzz also vote me plz

Answer:

134%

Step-by-step explanation:

just multiply it by 100 and add a %

(1) Recall the angle sum identity for cosine:

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

So

cos(π/3) cos(5π/6) - sin(π/3) sin(5π/6) = cos(π/3 + 5π/6)

= cos(7π/6)

= -√(3)/2

(2) Recall the half-angle identity:

cos²(x) = (1 + cos(2x))/2

Since π/2 < 7π/12 < π, you should expect cos(7π/12) < 0. So solving for cos(x) above, we have

cos(x) = -√[(1 + cos(2x))/2]

Then

cos(7π/12) = -√[(1 + cos(7π/6))/2]

= -√[(1 - √(3)/2)/2]

= -√[1/2 - √(3)/4]

You could stop there, or continue and try to de-nest the radicals to end up with

= (√(2) - √(6))/4

(3) Recall the angle sum formula for tangent:

tan(x - y) = (tan(x) - tan(y))/(1 + tan(x) tan(y))

Then

(tan(122°) - tan(32°))/(1 + tan(122°) tan(32°)) = tan(122° - 32°)

= tan(90°)

which is undefined, since tan(x) = sin(x)/cos(x), and cos(90°) = 0.

(4) Recall the double angle identity for sine:

sin(2x) = 2 sin(x) cos(x)

Then

2 sin(15°) cos(15°) = sin(30°)

= 1/2

(5) Use the double angle identity for cosine:

cos(2x) = 2 cos²(x) - 1

Then

12 cos²(θ) - 6 = 6 (2 cos²(θ) - 1)

= 6 cos(2θ)

(6) Use the sine double angle identity mentioned in (4):

7 cos(4x) sin(4x) = 7/2 (2 cos(4x) sin(4x))

= 7/2 sin(8x)

Consult the other question you commented on [19739123 in the URL] for details on (7) and (8).

Answer:

223$

Step-by-step explanation:

318.50×30% =95.5

discount= 95.5

new bill= 223$

Step-by-step explanation:

The 2nd statement is correct.

open circle on -3 and all numbers to the right shaded

Answer:

Adjacent

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

y-intercept = 3

Step-by-step explanation:

The given equation is :

6x-5y=-15

We can rewrite it ib slope-intercept form as follows :

Dividing both sides by 5

[tex]\dfrac{6x}{5}-y=\dfrac{-15}{5}\\\\\dfrac{6x}{5}-y=-3\\\\\dfrac{6x}{5}+3=y[/tex] .....(1)

The general equation of slope-intercept form is:

y = mx +c  ....(2)

On comparing equation (1) and (2) we get :

m = 6/5

c = 3

Hence, the y intercept of the graph of the equation is 3.

Answer:

1018 cm

Step-by-step explanation:

A=piR^2

To find the radius from circumference, we divide by pi and then divide by two.  

C=36pi

36pi/pi=36

36/2=18

R=18

if we plug 18 into

A=piR^2,

we get

18pi^2=A

18pi^2=1017.88

round this to get 1018

A=1018

Answer:

Number of children tickets sol= 580

Number of adults tickets sol= 420

Step-by-step explanation:

First, we establish a system of equations:

1.5*x + 4*y= $2,550

x + y = 1,000

x= number of tickets for children sold

y= number of tickets for adults sold

Now, we determine the value of x in one equation and substitute in the other:

x= 1,000 - y

1.5*(1,000 - y) + 4y = 2,550

1,500 - 1.5y + 4y = 2,550

2.5y = 1,050

y= 420

x= 1,000 - 420

x= 580

Number of children tickets sol= 580

Number of adults tickets sol= 420

Prove:

1.5*580 + 4*420= $2,550

580 + 420 = 1,000

Answer: Looks like a bunch of lights Lol

Step-by-step explanation:

Answer:

I don't!

Step-by-step explanation:

UNDERSTAND!

Answer:

x<5

Put it on a graph, and then you'll see how I got my answer.

I'm not the type of person that is good at explaining, hehe...

Answer:

B. 5 m/s

Step-by-step explanation:

Formula for constant velocity

[tex]v=\frac{\Delta x}{\Delta t}[/tex]

plug in the values you have:

[tex]v = \frac{400}{80} = 5\frac{m}{s}[/tex]

so B. 5 m/s

Answer:

p>5

Step-by-step explanation:

Answer:

You have the correct option selected!

Answer:

Its D

(A.K.A.) The one you chose

Step-by-step explanation:

as long as a table or graphed points go up at a constant rate, its a linear function

-10x+28

first you must distribute -3

then you combine like terms and you end up with -10×+28

Answer:

x = 15

y = -1

x+y = 15+(-1)

= 14

The value of expression of x+y is 14 when x = 15 and y = -1.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

To determine the value of expression of x+y,

Given that system of the equations as :

5x + 8y = 67 and

2x - y = 31

Rearranging the terms in the above equation,

y = 2x - 31

Substitute the value of y in the equation 5x + 8y = 67,

5x + 8(2x - 31) = 67

5x + 16x - 31 = 67

21x = 67 + 248

21x = 315

x = 315/21

x = 15

Substitute the value of x in the equation 2x - y = 31,

2(15) - y = 31

30 - y = 31

y = -1

Substitute the values of x = 15 and y = -1 in the expression of x+y

⇒ x+y

⇒ 15+(-1)

⇒ 14

Hence, the value of expression of x+y is 14 when x = 15 and y = -1.

Learn more about the equation here:

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Answer:

Exact form: √ 113

Decimal form: 10.63014581...

Step-by-step explanation:

Answer:

B. two units right and three units up

Step-by-step explanation:

Answer:

C five units to the right and three units up

Step-by-step explanation:

Answer:

(15 - 7) * (3 + 5)

12

29

Step-by-step explanation:

Answer:

8/25

Step-by-step explanation:

Answer:

Vertical compression where a=3/4

Step-by-step explanation:

There is a vertical compression of the original function by a factor of 3/4

Answer:

30% of the longest place names are in England

Answer:

In physics:

I represents Current.

P represents Power.

R represents Resistance.

And

T represents either Time period or Temperature.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

D

Step-by-step explanation:

Took the test

The equation that can be used to determine weight of the textbooks is [tex]0.7(t + 4 + 2) = t[/tex]

Weight serves as the relative mass that can be found in a particular matter.

Let the weight of the textbooks= t

The backpack of the book= 2 pounds

The weight nootbook in total = 4 pounds

But remember that 70% of total weight is the textbooks.

Therefore the equation can be computed as

70%(t + 4 + 2) = t

[tex]70/100(t + 4 + 2) = t[/tex]

[tex]0.7(t + 4 + 2) = t[/tex]

Therefore, option D is correct.

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Answer:

c = -25

Step-by-step explanation:

Multiply the denominator by -7 on both sides, you would then get the equation c + 32 = 7 in which the -7 on the left side cancels out.  Subtract 32 on both sides to get the c value which is -25.

Answer:

The line goes the through the origin

The line is sloping upward

The x-intercept is 0

Step-by-step explanation:

step 1

Find the equation of the line in point slope form

we have

substitute

step 2

Convert to slope intercept form

isolate the variable y

Applying the distributive property right side

The line represent a direct variation (the line passes though the origin)

step 3

Verify each statement

case a) The line is horizontal

The statement is false

Because a horizontal line has a slope equal to zero and this line has slope equal to m=3/4

case b) The line goes the through the origin

The statement is true

Because the line represent a direct variation

case c) The point (3,4) lies on the line

The statement is false

Because the ordered pair not satisfy the equation

Verify

For x=3, y=4

substitute in the equation

----> is not true

so

the ordered pair not satisfy the equation

therefore

The ordered pair not lies on the line

case d) The line is sloping upward

The statement is true

Because the slope is positive (is an increasing function)

case e) The x-intercept is 0

The statement is true

Because in a proportional relationship the x-intercept and the y-intercept are equal to zero

Answer:

Wheres the question?????

Answer:

BRUV WHERE THE QUESTION

Step-by-step explanation:

Answer:

p = - 5, p = - 1

Step-by-step explanation:

Given

[tex]\frac{3p}{p-5}[/tex] - [tex]\frac{2}{p+3}[/tex] = [tex]\frac{p}{p+3}[/tex]

Multiply through by the LCM of (p - 5)(p + 3)

3p(p + 3) - 2(p - 5) = p(p - 5) ← distribute parenthesis

3p² + 9p - 2p + 10 = p² - 5p

3p² + 7p + 10 = p² - 5p ( subtract p² - 5p from both sides )

2p² + 12p + 10 = 0 ← divide through by 2

p² + 6p + 5 = 0 ← in standard form

(p + 1)(p + 5) = 0 ← in factored form

Equate each factor to zero and solve for p

p + 1 = 0 ⇒ p = - 1

p + 5 = 0 ⇒ p = - 5