What is the equation of the line that passes through the point (4,-4) and has a slope of -5/2
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Answer:

To find X you'll need this formula Tan 30, and this one to find y cos 30.

Step-by-step explanation:

tan 30 = 9 / x.

tan 30*x = 9

x = 9 / tan 30

x = 15.58

To find y, the value of X will be needed, which is 15.5 that we just found.

Cos= A/H

Cos 30 = 15.58/ y

Cos 30 * y = 15.58

y = 15.58/ cos 20

y = 17.99

Answer:

25 %

Step-by-step explanation:

Answer:

4x² (3x - 1)

Step-by-step explanation:

12x³ - 4x²

4x² (3x - 1)

Step-by-step explanation:

[tex]\frac{(1-tan^{2}x)tan(2x) }{tanx} \\ but \: \tan(2x) = \frac{2 \tan(x) }{1 - { \tan }^{2}x } \\ therefore : \\ = \frac{(1 - { \tan ^{2}x)(2 \tan(x)) }}{ (\tan(x) )(1 - { \tan ^{2}x })} \\ = \frac{2 \tan(x) }{ \tan(x) } \\ = 2[/tex]

Answer:

V=72

Step-by-step explanation:

How I check For volume on a rectangular prism is I first identify three main things

height:4

width:3

length:6

then i plug it into a simple formula

v=W*H*L

so volume=4*3*6=72

so you volume is 72

Answer:

A. 12

I think so.....

Answer:  

7.5

Step-by-step explanation:  

4*3.5 = 14  

4*-1.5 = -6  

14 + -6 = 8  

8-1/2 = 7.5

Question Is Incomplete

Answer:

F

Step-by-step explanation:

b = 3 5/8 × x < -- Times

x is a variable that uses for the representation of the number of pies

Example : 3 pies there

b = 3 5/8 × 3

therefore b = 5.625 pounds

Answer:

Parallel

Step-by-step explanation:

The dotted lines are parallel because they have the same gradient to each other, this means the two dotted lines will never touch each other.

Have a great day <3

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

8/17

Step-by-step explanation:

first find hypotenuse which is 34

then to get sine it is opposite/hypotenuse

opposite ÷ hypotenuse

16/34

8/17

The SinL as a fraction in the simplest form is 8 / 17.

A triangle whose one is 90 degrees is considered a right-angled triangle. Pythagoras' theorem is applied only to the right-angled triangle.

Given:

The side NM = 16,

The side LM = 30,

By using Pythagoras' theorem, we can say that,

NL² = NM² + LM²

Substitute the values of NM and LM,

NL² = 16² + 30²

NL = 34,

For SinL = perpendicular side / hypotenuse side

SinL = NM / NL,

SinL = 16 / 34 or 8 / 17

Therefore, the SinL as a fraction in the simplest form is 8 / 17.

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Answer:

B. 5(x + 1) - 3x = 5 - 2(5 - x)

Step-by-step explanation:

A. x - 5(x - 4) = 2(2x + 7) + 6        Distribute -5 into parentheses

   x - 5x + 20 = 2(2x +7) + 6        Distribute 2 into parentheses

   x - 5x + 20 = 4x +14 + 6           Combine like terms (I underlined it to show)

   -4x + 20 = 4x + 20

   +4x           +4x                            Do Inverse operations

         20  = 8x + 20

        -20          - 20                       Do inverse operations

         0 = 8x

         [tex]\frac{0}{8}[/tex] = [tex]\frac{8x}{8}[/tex]                           Divide by 8 on both sides to isolate the variable.

        0 = x

Solution is x = 0.

B. 5(x + 1) - 3x = 5 - 2(5 - x)           Distribute 5 into parentheses

   5x + 5 - 3x = 5 - 2(5 - x)            Distribute -2 into parentheses

   5x + 5 - 3x = 5 - 10 + 2x    Combine Like terms (I underlined the like terms)

   2x + 5 = -5 + 2x                        

        + 5    +5                               Do inverse operations

  2x + 10 = 2x    

 -2x          -2x                               Do inverse operations

          10 ≠ 0

No solution

C. 1 - 3(x+3) = 2(3x - 4) - 9x          Distribute -3 into parentheses

   1 - 3x - 9 = 2(3x - 4) - 9x           Distribute 2 into parentheses

   1 - 3x - 9 = 6x - 8 - 9x       Combine Like terms (I underlined the like terms)

   - 8 - 3x = -3x - 8              

        + 3x   +3x                            Do inverse operations

        - 8 = - 8

Solution = All real numbers

D.  3(x - 4) + x = 4(3 - x)               Distribute 3 into parentheses

     3x - 12 + x = 4(3 - x)                Distribute 4 into parentheses

     3x - 12 + x = 12 - 4x         Combine Like terms (I underlined the like terms)

     4x - 12 = 12 - 4x    

    +4x              + 4x                      Do inverse operations

    8x - 12 = 12  

        + 12  +12                              Do inverse operations

     8x  = 24  

     [tex]\frac{8x}{8}[/tex]   = [tex]\frac{24}{8}[/tex]                       Divide by 8 on both sides to isolate the variable

    x = 3

Solution is x = 3 .    

So the only equation that has no solution is B. 5(x + 1) - 3x = 5 - 2(5 - x).          

Trust me, you're not the only one who's bad at math.  '-'

Answer:

20

Step-by-step explanation:

2 x 10 = 20

divided by 4 = 5

The larger pool will hold is 100 times more gallons than the smaller pool

From the question, we are to determine how many times more gallons the larger pool holds than the smaller pool

From the given information,

Capacity of the larger pool = 2 × 10¹⁰ gallons

Capacity of the smaller pool = 2 × 10⁸ gallons

To determine how many times more gallons the larger pool  holds more than the smaller pool, we will simply divide the capacity of the larger pool by the capacity of the smaller pool

That is,

[tex]\frac{2 \times 10^{10} }{2 \times 10^{8}}[/tex]

= 10²

= 100

Hence, the larger pool will hold is 100 times more gallons than the smaller pool.

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Answer:

88 sq cm

Step-by-step explanation:

A=(b1+b2) x H divided by 2

Answer:

140

Step-by-step explanation:

Answer:

(0,0)

Step-by-step explanation:

If you moved right 9 units; add nine to the x axis

If you moved 1 unit up; add one to the y axis

Answer:

(0, 0)

Step-by-step explanation:

(x, y)

If you end up at (9, 1)

and move up 1 (y) and move right 9 (x) you start at (0, 0)

Answer:

4

Step-by-step explanation:

g=4

that means

16/g= 16/4

16/4=4

Answer:

the correct answer is 5 snowmen

Answer:

Answer: 3 feet

Step-by-step explanation:

Here's the complete question:

The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.

Note that Volume of a cylinder = πr²h

where Volume = 235.6 feet³

Radius = 5 feet

Height = Unknown

Then, we put the values back into the question and this will be:

V = πr²h

235.6 = 3.14 × 5² × h

235.6 = 3.14 × 25 × h

235.6 = 78.5 × h

h = 235.6 / 78.5

h = 3 feet

The height is 3 feet

Step-by-step explanation:

Answer:

Im not sure i understand the question but, m is greater than 2?

Step-by-step explanation:

Gage Millar, Algebra 2 tutor

m is greater that 2

m=m

>=Greater Than

2=2

Answer:

B. 50 students in her school

Step-by-step explanation:

Every other answer is at a seperate place designed to help someone in a specific field, besides the school.

Answer:

2 x 7 = 5 x 3

Step-by-step explanation:

Answer:

1) If we have a point (x, y), the angle between the x-axis and a ray that goes from the origin to the point is defined by:

cos(θ) = x/(√(x^2 + y^2))

sin(θ) = y/(√(x^2 + y^2))

Then for the point:

(√(7)/4 , 3/4)

x = √(7)/4

y = 3/4

√(x^2 + y^2) = √((√(7)/4)^2 + ( 3/4)^2) = (1/4)*√(7 + 9) = 1

Then replacing these values in the above equations for the cosine and sine functions, we get:

cos(θ) = x/(√(x^2 + y^2)) = (√(7)/4)/1 = √(7)/4

sin(θ) = y/(√(x^2 + y^2)) = (3/4)/1 = 3/4

2) To find the period, we just need to find the distance between two peaks, or two x-intersects (such that the slope is the same).

Let's look at the graph.

We can see that at x = 0, the graph intersects the x-axis and increases

The next point where this happens is at x = π/3

Then the period of this function is:

P = π/3 - 0 = π/3

The period is π/3

Answer: 2600 cm^2

Step-by-step explanation:

FORMULA

Painting P area = Painting Q area +   1400

      so...

 40(3x-10)           =       30(x+15)        +   1400

 EXPAND                     EXPAND

 120x - 400          =       30x + 450     +   1400

                                                        SIMPLIFY

 120x-400            =        30x + 1850

         +400                             +400

 120x                    =         30x + 2250

 - 30x                             - 30x

   90x                   =                   2250      

DIVIDE BY 90              DIVIDE BY 90

     x                      =                   25

SO... Now we have to find the AREA of PAINTING P

LENGTH: (3x - 10)=  3(25) - 10 = 65cm

HEIGHT:  40cm

AREA OF PAINTING P = 65cm X 40cm = 2600cm^2

By solving a system of equations, we will see that the area of painting P is 2,600 cm^2

Remember that the area of a rectangle of length L and width W is:

A = L*W

Then the area of painting P is:

A = 40cm*(3x - 10)cm

The area of paint Q is:

A' = (30 cm)*(x + 15)cm

And que know that:

A = A' + 1400cm^2

Then we havea system of equations:

A = A' + 1400cm^2

A = 40cm*(3x - 10)cm

A' = (30 cm)*(x + 15)cm

First, we can replace the third equation into the first one to get:

A = (30 cm)*(x + 15)cm + 1400cm^2

And that must be equal to:

A = 40cm*(3x - 10)cm

So now we can solve:

40cm*(3x - 10)cm =  (30 cm)*(x + 15)cm + 1400cm^2

for x.

It gives:

120cm*x - 400cm^2 = 30cm*x + 1850 cm^2

120cm*x - 30cm*x = 1850cm^2 + 400cm2

x = (2250cm^2)/(90cm) = 25cm

Now that we know x, we can get the area of painting P.

A = 40cm*(3*25cm - 10cm) = 2,600cm^2

If you want to learn more about systems of equations, you can read:

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Answer:

[tex]\implies f^{-1}(x) =-\dfrac{x}{4}-3 [/tex]

Step-by-step explanation:

Given :-

And we need to find out the Inverse of the function . Let us assume that f(x) = y . Now , firstly replace x with y and vice versa.

Function :-

[tex]\implies f(x) = -4x - 12 \\\\\implies y = -4x-12 [/tex]

Interchanging x and y :-

[tex]\implies x = -4y - 12 [/tex]

Solve out for y :-

[tex]\implies x = -4y - 12 \\\\\implies -4y = x +12 \\\\\implies y =\dfrac{x+12}{-4}\\\\\implies y =-\dfrac{x}{4}-3 [/tex]

Replace y with f-¹(x) :-

[tex]\implies f^{-1}(x) =-\dfrac{x}{4}-3 [/tex]

Hence the inverse of the function is -x/4-3 .