15 POINTS AND ILL MARK BRAINIEST
State the Axis of Symmetry of the function:
f(x)=-|-x-2|-4

Answer:

The resulting function is [tex]g(x) = \log_{2} (x+5)-4[/tex].

Step-by-step explanation:

Let [tex]f(x)[/tex] a real function, we define the following function operations:

Horizontal translation

[tex]g(x) = f(x + a)[/tex] (1)

If [tex]a > 0[/tex], then horizontal translation is to the left, otherwise it is to the right.

Vertical translation

[tex]g(x) = f(x) + a[/tex] (2)

If [tex]a> 0[/tex], then vertical translation is upwards, otherwise it is downwards.

Knowing that [tex]f(x) = \log_{2}x[/tex] and [tex]g(x)[/tex] is the result of translating [tex]f(x)[/tex] four units downwards and five units to the left. Then, we find that:

[tex]g(x) = \log_{2} (x+5)-4[/tex]

The resulting function is [tex]g(x) = \log_{2} (x+5)-4[/tex].

Answer:

35

Step-by-step explanation:

Answer:

y = 35°

Step-by-step explanation:

if the lines are parallel, the alternate interior angles theorem applies ("if a transversal intersects two parallel lines then alternate interior angles are congruent"). so since we know that the lines are parallel, the alternate interiors are congruent so 70=2y. from there, divide both sides by 2 to isolate y (division property of equality) and y=35.

Answer:

A

Step-by-step explanation:

CAUSE MATH

I GOT THE SAME QUESTION AND GOT IT CORRECT. YEET :))))))))

Answer:

how many of these you got lol?

2 is same as 68 because isosceles triangle

1 is 90-68 = 22

3=2

4= 90

Answer:

[tex]\angle 1=22, \angle\ 2=68, \angle 3=68, \angle 4=90[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\The\ quadrilateral\ is\ a\ rhombus.\\We\ know\ that,\\A\ rhombus\ is\ a\ parallelogram\ with\ all\ sides\ equal.\\As\ it\ is\ a\ parallelogram,\ the\ opposite\ sides\ are\ parallel\ too.\\Hence,\\\angle 3\ and\ \angle68\ form\ alternate\ interior\ angles\ to\ one\ pair\ of\\ opposite\ parallel\ sides\ in\ the\ rhombus,\ and\ are\ equal\ in\ measure.\\Hence,\\\angle 3=68\\[/tex]

[tex]As\ we\ know\ that\ the\ diagonals\ of\ a\ rhombus\ are\ perpendicular\\ bisectors\ to\ each\ other:\\\angle 4\ forms\ a\ 90.\\Hence,\\\angle 4=90[/tex]

[tex]Now,\ lets\ consider\ the\ isosceles\ triangle\ created\ by\ two\ equal\ sides\ of\\ the\ rhombus\ with\ one\ of\ its\ base\ angles\ \angle 2.\\Now,\\We\ know\ that,\\Base\ angles\ opposite\ to\ equal\ sides\ are\ equal\ too.\\Hence,\\As\ the\ two\ sides\ are\ equal,\\Base\ angles\ \angle 68\ and\ \angle 2\ are\ equal\ too.\\Hence,\\\angle 2=68[/tex]

[tex]Now,\ lets\ consider\ the\ triangle\ made\ up\ of\ \angle 1\ and\ \angle 2:\\We\ know\ that,\\\angle 2=68 [Proven]\\The\ third\ angle\ is\ 90\ as\ the\ diagonals\ of\ a\ rhombus\ are\ perpendicular\\ bisectors.\\Hence,\\\angle 1+ \angle 2 +90=180 [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence,\\\angle 1+ \angle 2=90\\\angle 1+68=90\\\angle 1=90-68\\\angle 1=22[/tex]

[tex]By\ putting\ it\ all\ together\ we\ have:\\\angle 1=22, \angle\ 2=68, \angle 3=68, \angle 4=90[/tex]

Answer:

x = [tex]\frac{15}{2}[/tex] , x = 1

Step-by-step explanation:

(a)

[tex]\frac{4x-1}{2}[/tex] = x + 7 ( multiply both sides by 2 to clear the fraction )

4x - 1 = 2x + 14 ( subtract 2x from both sides )

2x - 1 = 14 ( add 1 to both sides )

2x = 15 ( divide both sides by 2 )

x = [tex]\frac{15}{2}[/tex]

(b)

3x + 2 = [tex]\frac{2x+13}{3}[/tex] ( multiply both sides by 3 to clear the fraction )

9x + 6 = 2x + 13 ( subtract 2x from both sides )

7x + 6 = 13 ( subtract 6 from both sides )

7x = 7 ( divide both sides by 7 )

x = 1

Answer:

Step-by-step explanation:

30 is half or 60

45 is half of 90

1:2 ratio

Answer: 56/33

Step-by-step explanation: Tan= Opposite over Adjacent or O/A

Answer:

ratio is line from center to end of the circle

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

So let's call the time she needs to catch up "x", and so Terry's rate would be x-6 since he left home 6 hours earlier. Then we multiply the rates to get 20x - 120 = 80x. The answer is -2, but we can just say 2.

Checking our answer, that means if it took Sally 2 hours, it took Terry 8 hours for he left home 6 hours earlier. So 8 times 20 = 160km traveled. 2 times 80 = 160km traveled. Same distance.

Answer:

18000ml or you an also say 18000[tex]cm^{2}[/tex] and 18 [tex]dm^{2}[/tex]

Step-by-step explanation:

In order to solve this question we will just have to multiply the current volume of the water by 1000. So we get....

18 x 1000 = 18000ml

If you will need to give the answer in [tex]cm^{2}[/tex] or in [tex]dm^{2}[/tex], then if we know that [tex]1ml = 1cm^{2}[/tex]. We can say that the volume of 18 ml of water is equal to.....

18000ml = 18000[tex]cm^{2}[/tex]

18000ml = 18 [tex]dm^{2}[/tex]

Step-by-step explanation:

60° + 60° + x + x = 180°. (Sum of angles in a triangle = 180°)

Therefore 2x = 60° and x = 30°.

Answer:

Step-by-step explanation:

2x + 60 = (180 - 60)

x = (180-120)/2

x = 30

The expression represents the number of hours in w weeks and d days is 168 W + 24 d.

The correct option is (C).

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

We know the number days in a week = 7

and, the number of hour in a day = 24

So, number of hour in a week = 24 x 7 = 168

Then, the expression number of hours

= 168 W + 24 d

where W is the weeks and d is days.

Learn more about Expression here:

https://brainly.com/question/14083225

#SPJ2

Answer:

you pay $26.25

you save $48.75

Step-by-step explanation:

Trust

Answer:

Total time taken = 27 min

Step-by-step explanation:

Given:

Started game time = 10:44 AM

Ending game time = 11:11 AM

Find:

Total time taken

Computation:

Total time taken = Ending game time in min - Started game time in min

Total time taken = [11x60 + 11] - [10x60 + 44]

Total time taken = 671 - 644

Total time taken = 27 min

Answer:

it would be 1/1000 assuming only 1 ticket sold to 1 person each; if a person bought more than 1 ticket then there odds of winning increase

Step-by-step explanation:

The probability of winning the car is 0.001.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Given that, a raffle sells 1000 tickets for $35 each to win a new car.

Here, we know that there is a total of 1000 tickets. If there is only one car, then definitely only one wins the raffle. The probability of winning is also dependent on the number of tickets one will purchase. But for this problem, we are going to assume that only one raffle can be bought by one person. Thus, the probability of winning a new car is simply

P(E)= Number of raffle tickets one can buy/Total number of raffle tickets

= 1/1000

= 0.001

Therefore, the probability of winning the car is 0.001.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2

Answer:

750

Step-by-step explanation:

The length and width of the swimming pool is 50feet and 30 feet respectively.

The amount of space covering the outside of a three dimensional space is called surface area.

surface area = length × breadth

According to the given question

The length of the rectangular swimming pool is 20 feet greater than the width.

and, the surface area of the pool is 1,500 square feet.

Let the width of the rectangular pool be x.

⇒ length of the pool = 20+x

therefore,

surface area of pool = length × breadth

⇒1500 = x×(20+x)

⇒[tex]1500= 20x+x^{2}[/tex]

⇒[tex]x^{2} +20x-1500=0[/tex]

⇒[tex]x^{2} +50x-30x-1500=0[/tex]

⇒[tex]x(x+50)-30(x+50)=0[/tex]

⇒[tex](x-30)(x+50)=0[/tex]

⇒x=30 and -50(not possible)

⇒x=30 feet

so, the width of the pool is 30 feet.

⇒ length of the pool = x+20 = 30+20 = 50 feet.

Hence, the length of the pool is 50 feet and width of the pool is 30 feet.

Learn more about the surface area here:

https://brainly.com/question/2835293

#SPJ2

Answer:

The first fraction is between 27 and 28, closer to 28. The second fraction is between 3 and 4, closer to 4. Compatible numbers in division are numbers that can be divided mentally. 28 divided by 4 is 7. The quotient will be around 7.

Step-by-step explanation:

Hope this helps,

Please give brainliest if you like my answer

Have a great day

Answer:

$4.80/2sodas

4.80/2=2.40

C. 2.40 per soda

Answer: -2 2/3 or -8/3

Answer:

They are not congruent.

The lines or the marks show that each side is congruent. If you compare the sides to where the angle is, you will see that it is not congruent.

Answer: None of the lines are parallel to one another

======================================================

Explanation:

Solve each equation for y

Line a:

4y+x = 8

4y = -x+8

y = (-x+8)/4

y = (-x/4) + (8/4)

y = (-1/4)x + 2

This equation is in the form y = mx+b with slope m = -1/4

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

Line b:

2y+x = 4

2y = -x+4

y = (-x+4)/2

y = (-x/2) + (4/2)

y = (-1/2)x + 2

The slope is m = -1/2. It is not parallel to line a because parallel lines must have the same slope (but different y intercept).

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

Line c:

2y = -3x+6

y = (-3x+6)/2

y = (-3x/2) + (6/2)

y = (-3/2)x + 3

The slope here is m = -3/2. it is not parallel to line a, and it is not parallel to line b either for similar reasons discussed above.

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

In summary, none of the three lines are parallel to one another. The graph below visually confirms this. Each pair of lines intersects at exactly one location, showing they cannot be parallel.

Answer:

-6(-3)​=18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

6 x 3 = 18 bc neg x neg = pos

Answer:

$14.80

Step-by-step explanation:

18.50 * 0.20 = 3.70

Then

18.50 - 3.70

Yo I am not 100% sure. I have 90% sure that it is right answer though.

If that isn't one of your answer choices then it means it is 3.70.

Answer:

114

Step-by-step explanation:

25 + 25 + 64 = 114

Answer:

DG = 26

GE = 26

DF = 15

CH = 14

CE = 28

Step-by-step explanation:

Find the image attached for the complete question

IF If J is the centroid of CDE, this means that J divides CG, FE, DC, CE and DH into two equal parts.

The following expressions are therefore true

DG + GE = DE and DG = GE

Substituting

DG + DG = DE

2DG = DE

Given DE - 52

2DG = 52

DG = 52/2

DG = 26

Since DG = GE, hence GE = 26

Also DF + FC = DC and DF = FC

Since FC = 15, hence DF = 15

Also CH + HE = CE and CH = HE

Since HE = 14, hence CH = 14

CE = 14+14

CE = 28

DG = 26, GE = 26, DF = 15, CH = 14, CE = 28

IF If J is the  centroid of CDE, this means that J divides CG, FE, DC, CE and DH into two equal parts

Therefore,

DG + GE = DE ....(1)

DG = GE ...(2)

Substituting (2) in (1) ,we get

DG + DG = DE

2DG = DE

Also, DE = 52  (Given)

So, 2DG = 52

DG = 26

As, DG = GE,

Therefore,  GE = 26

Also,  DF + FC = DC and DF = FC

As, FC = 15,

So, DF = 15

Also CH + HE = CE and CH = HE

Since HE = 14,

So, CH = 14

CE = 14+14=28

So, CE = 28

Therefore, DG = 26 , GE = 26, DF = 15, CH = 14, CE = 28

Learn more:https://brainly.com/question/20756448

Answer: 4

Step-by-step explanation: just did it myself

Answer:

third option

Step-by-step explanation:

Using De Moivre's theorem

([tex]\sqrt{3}[/tex] + i)³ , then

| [tex]\sqrt{3}[/tex] + i |

= [tex]\sqrt{(\sqrt{3})^2+1^2 }[/tex]

= [tex]\sqrt{3+1}[/tex] = [tex]\sqrt{4}[/tex] = 2

arg([tex]\sqrt{3}[/tex] + i) = [tex]tan^{-1}[/tex]( [tex]\frac{1}{\sqrt{3} }[/tex] ) = [tex]\frac{\pi }{6}[/tex]

Thus

([tex]\sqrt{3}[/tex] + i)³

= 2³ [ cos(3 ×[tex]\frac{\pi }{6}[/tex] ) + isin( 3 × [tex]\frac{\pi }{6}[/tex] ) ]

= 8 [ cos([tex]\frac{\pi }{2}[/tex]) + isin([tex]\frac{\pi }{2}[/tex] ) ]

Answer:

C

Step-by-step explanation: