Explain the difference between solving a system by graphing and solving a
system algebraically.

The domain of the function is x> -4.

The correct option is B.

We have the function

f(x) = 12/ √(x+ 4) - 2

Now, putting f(x) = 0

12/ √(x+ 4) - 2 = 0

12 -  2√(x+ 4) = 0

-2√(x+ 4) = -12

√(x+ 4) = 6

Taking Square on both side we get

x+ 4 = ±36

x = ± 36 - 4

x = 32 or x= -40

Thus, the domain of the function is x> -4.

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Answer:

○ C. [tex]\displaystyle 74°[/tex]

Step-by-step explanation:

[tex]\displaystyle c^2 + b^2 - 2cb\:cos∠A = a^2[/tex]

In the EDGE formula of the Law of Cosines, whatever squared edge term is on the outside of the equivalence symbol, its angle measure is what you write next to the trigonometric function, if you understand the formula written above.

I am joyous to assist you at any time.

Answer:

x =  -4 ± i4

Step-by-step explanation:

This is a quadratic equation with coefficients {1, 8, 32}.  We apply the quadratic formula to solve for x.  The first step is to find the 'discriminant,' b^2 - 4 ac, which here is (8)^2 - 4(1)(32), or 64 - 128, or -64.  

A negative discriminant indicates that this quadratic has two unequal complex roots.  

                               -b ± √(b^2 - 4ac)

The formula is x = ----------------------------

                                         2a

which, when evaluated at a = 1, b = 8 and c= 32, yields

                               -8 ± √(-64)

The formula is x = ----------------------------

                                         2(1)

or:

                               -8 ± i√64                

The formula is x = -----------------   = x =  -4 ± i4

                                        2

First, we imagine a right triangle. Second, we are given that the building is 62 feet tall. Since the height of building is vertical straight - that means the height is opposite side of triangle. It also casts a shadow 21 meters long. Shadow should be the adjacent side because it casts on the ground and not on the air.

If we imagine the right triangle + the problem in our head, we'd get the triangle that the opposite side is 62 feet tall and the adjacent side is 21 meters long.

Use the tangent ratio to find the angle of sun shining.

[tex] \large \boxed{ \tan \theta = \frac{opposite}{adjacent} }[/tex]

Substitute adjacent = 21 and opposite = 62 in the ratio.

[tex] \large{tan \theta = \frac{62}{21} }[/tex]

For this part, you might need a calculator or trigonometric table because some values cannot be exactly found.

From the equation, we should get 71.288 which we round the answer to nearest hundreth and the answer would be 71.29

Answer

Answer:

71.29°

Step-by-step explanation:

By question its given that , a 62 feet tall tree cast a shadow of 21 m long. We need to find the angle at which the sun is shining on the building .

For this we gonna imagine a right angle triangle . Where , the length of the shadow will be the base of the triangle and the height of the building will be the perpendicular on the triangle .

Here since we have got perpendicular and base , we can use the ratio of tan . We know that tan is defined as perpendicular by base , that is ,

[tex]\implies tan \theta =\dfrac{perpendicular}{base}[/tex]

Plug in the respective values , we have ,

[tex]\implies tan \theta =\dfrac{62}{21} \\\\\implies\theta = tan^{-1}\bigg( \dfrac{62}{21}\bigg) \\\\\implies \underline{\underline{\theta = 71.29^o }}[/tex]

Hence the required answer is 71.29° .

Answer:

C = 22.56

Step-by-step explanation:

The equation for the circumference of a circle is [tex]C=2\pi r[/tex].

The radius is half the diameter so [tex]r=\frac{7.18}{2}=3.59[/tex]

Plug the radius into the equation.

[tex]C=2*\pi *3.59[/tex]

[tex]C=22.55664[/tex]

Given:

Diameter of circle = 7.18 m

To find:

Circumference of the circle

Steps:

We know that radius is equal to half of the diameter

r = d/2

r = 7.18/2

r = 3.59 m

Now circumference is equal 2πr

Circumference = 2πr

Circumference = 2 × 3.14 × 3.59      (taking pi as 3.14)

Circumference = 6.28 × 3.59

Circumference = 22.5452

Circumference ≈ 22.55 meters

Therefore, the circumference of the circle is approximately 22.55 meters

HAPPY TO HELP :)

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By definition of coterminal angles, the negative angle that is equivalent to an angle of 285° is equal to - 75° degrees. (Correct choice: D)

In this problem we must determine a negative angle coterminal to a given angle, two angles are coterminal when both have the same direction. Given that a complete revolution is done each 360°, we can derive an expression for angles coterminal to a given one:

θ' = θ + i · 360°     (1)

Where i is the index of the coterminal angle.

If we know that θ = 285° and i = - 1, then the negative angle is:

θ' = 285° + (- 1) · 360°

θ' = - 75°

By definition of coterminal angles, the negative angle that is equivalent to an angle of 285° is equal to - 75° degrees. (Correct choice: D)

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Answer:

b) 2

Step-by-step explanation:

both angles have the same values, they are technically opposites.

Set your formula up as

130 = 66x - 2

130 + 2 = 66x

132/66 = x

2 = x

Answer:

9,000

Step-by-step explanation:

180/400 × 20,000 = 9,000

Answer:

9,000

Step-by-step explanation:

180÷400= 0.45

0.45×20,000= 9,000

Answer:

[tex]17\sqrt{2}[/tex] ft

Step-by-step explanation:

take angle b as reference angle

using sin rule

sin 45 = opposite / hypotenuse

[tex]\frac{1}{\sqrt{2} }[/tex] = 17 / BC

BC =17 / [tex]\frac{1}{\sqrt{2} }[/tex]

BC = 17 * [tex]\sqrt{2}[/tex]

BC =  [tex]17\sqrt{2}[/tex] ft

Answer:

BC = 17[tex]\sqrt{2}[/tex] ft

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{17}{BC}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

BC = 17[tex]\sqrt{2}[/tex] ft

Answer:

Step-by-step explanation:

use formula

A(x,y)=A'(-x,-y)

D(-4,-2)=D'(4,2)

Answer:

No, the volume will be incresed by 8 times (2x2x2=8)

Step-by-step explanation:

[tex]Volume=3*5*9=135 in^{3} \\increased -Volume=6*10*18=1080 in^{3}\\\frac{1080}{135} =8[/tex]

Answer:

A, B, & D

Step-by-step explanation:

A. isosceles - 2 sides equal (actually) all sides are equal

B. equilateral - all sides equal and all angles are equal too

D acute - all angles are less than 90 degrees

Answer:

is there  a picture or something i cant understand

Step-by-step explanation:

Answer:

C. log(1/3)

Step-by-step explanation:

log a - log b = log(a/b)

Answer:

[tex]a_{n}[/tex] = - 3n - 3

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 6 and d = a₂ - a₁ = - 9 - (- 6) = - 9 + 6 = - 3 , then

[tex]a_{n}[/tex] = - 6 - 3(n - 1) = - 6 - 3n + 3 = - 3n - 3

Answer:

11

Step-by-step explanation:

To add fractions, find the LCD and then combine or Pemdas

Answer:

Your answer should be 1.5

Step-by-step explanation:

Can I get brainliest

Answer:

[tex]1 = {5}^{0} [/tex]

[tex]5 = {5}^{1} [/tex]

[tex]25 = {5}^{2} [/tex]

[tex]125 = {5}^{3} [/tex]

[tex]625 = {5}^{4} [/tex]

option A is correct, it starts with the power of zero (equals always one, see it as

[tex] \frac{5}{5} [/tex]

and it goes up to the power of 4

Letter D thanks for asking for help

Answer:

x = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then using the upper 45°

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x = 4[tex]\sqrt{2}[/tex]

Answer:

just sum up the 3 sides.

quick side note: I lost my previews writing bc I waited too long too post it :(

but long story short: you get the length of, say, AB by using pythagoras theorem.

[tex] \sqrt{ {2}^{2} + {6}^{2} } [/tex]

do this with BC and CA too

the 2 is just the distance in x-direction and the 6 is just the distance in y-direction

and since a²+b²=c², we need to take the root to get the distance between 2 points

see screenshot for summing up the three distances. the part out of screen is written out above

the sum is 21.011 length units

hope it helps. have a nice day.

feel free to ask questions.

and maybe, if I'm feeling really nice and a lil bored, i leave greeting answers under yours to enable posters to give gives brainliests. if theres no 2and answer at least

Answer:

a² + 16a - 612 = 0

Step-by-step explanation:

Here is the complete question :

The width of an extra large rectangle poster is 8 inches more than half its length. The area of this poster is 306 square inches

Write an equation in one variable that could be used to find the number of inches in the dimensions of this poster.

Area of a rectangle = length x width

Let length = a

width = 8 + 1/2a

Area =  (8 + 1/2a) x a

306 =  (8 + 1/2a) x a

multiply both sides of the equation by 2

612 = 16a + a²

a² + 16a - 612 = 0

the dimensions of the poster can be determined using quadratic formula

Answer:

yes..

Step-by-step explanation:

Answer:

9t + 4

Step-by-step explanation:

6t + 3t + 4

= 9t +4

Answer:

subtraction

Step-by-step explanation:

because if you add in addition you would take away when you subtract

Answer:

la inversa de la suma es la resta

Step-by-step explanation:

Answer:

[tex]Find~x:-[/tex]

[tex]4x-37=49[/tex]

[tex]4x=49+37[/tex]

[tex]x=21.5[/tex]

[tex]Find ~y:-[/tex]

[tex]y/5=4x-3[/tex]

[tex]y=5(4*21.5-3)[/tex]

[tex]y=415[/tex]

Answer:

Part A

positive=132

negative=220

Part B=88

Step-by-step explanation:

Part A

3:5

positive: negative

3+5=8

352/8=44

3x44=132 positive or 3/8 of 352

5x44=220 negative 5/8 0f 352

Part B

220

-132

---------------

     88

Step-by-step explanation:

3×‐9×-5y-2y =0-7

-6x-7y =-7

Answer:

[tex]x = \frac{9}{13} \ , \ y = - \frac{5}{13}[/tex]

Step-by-step explanation:

                         3x - 5y = 4 ----------- ( 1 )

                         9x - 2y = 7 -----------( 2 )

                 ______________________

( 1 ) x 9  =>       27x - 45y = 36   ----------------- ( 3 )

( 2) x 3 =>        27x - 6y = 21     -------------------( 4 )

                  _____________________

( 3 )  =>          27x - 45y = 36

- ( 4 ) =>         -27x + 6y = - 21

                   ____________________

( 3 ) - ( 4 ) =>     0x - 39y = 15

                            -39y = 15

                                [tex]y = \frac{15}{-39} = -\frac{5}{13}[/tex]

Substitute y in ( 1 ) :

                     [tex]3x - 5y = 4\\\\3x - ( 5 \times -\frac{5}{13}) = 4\\\\3x + \frac{25}{13} = 4\\\\3x = 4 - \frac{25}{13}\\\\3x = \frac{52 - 25}{13}\\\\3x = \frac{27}{13}\\\\x = \frac{27}{13 \times 3}\\\\x= \frac{9}{13}[/tex]                        

Answer:

25

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

Okay so as you can see there is an x shape and whenever you have that it means they are verticle angles. So we can conclude that 25 is verticle to x and so x is equal to 25.

Answer:

B)  M-5

Step-by-step explanation:

the commutative property does not apply to subtraction or division, only addition and multiplication