what is y=-2(x+1)(x-2) in standard form​

As per questions:-

Image 1:-

[tex]x = 15 \sqrt{3} \\ y = 30[/tex]

Image 2:-

[tex]x = 16 \\ y = 8[/tex]

Image 3:-

[tex]x = 8 \\ y = 4[/tex]

(Also check the attached 3 images for explanation.

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The distance of Saturn from the Sun by the orbital period formula is 9.54732 astronomical units

Orbital period is the time period, which is required for a planet or one astronomical body to revolve completely around the other body.

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula

[tex]P =a^{3/2}[/tex]

The orbital period of Saturn is 29. 5 years. To find the value of distance of Saturn from the Sun, put the values in the above formula as,

[tex]29.5=a^{3/2}\\a=29.5^{3/2}\\a=9.54732\rm[/tex]

Thus, the distance of Saturn from the Sun by the orbital period formula is 9.54732 astronomical units.

Learn more about the orbital period here;

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Answer:7351

Step-by-step explanation:

Answer:

456566654

Step-by-step explanation:

Answer:

The answer is 180.20

Have a great day!

Answer:

7,912.8 inch³ of aluminum is needed to make 70 metal balls

Step-by-step explanation:

r = 3 inches and π = 3.14

single aluminum ball, 113.04 inch³ of aluminum

113.04 inch³ of aluminum is used for 1 ball, then we multiply 70 with this value to determine the aluminum needed for 70 such balls.

Answer:

x=6

Step-by-step explanation:

3x+19=7x-5

First of all you have to group like terms

19+5=7x-3x

24 = 4x

4 4

6=x

The sum of triangle angles = 180

180 = 90 + 2x +15 + x

75 = 3x

x = 25

Answer:

→x=25°

Step-by-step explanation:

→2x+15+x+90°=180°[Sum of a triangle is 180]

→3x+105°=180°

→3x=180°-105°

→x=75°/3

→x=25°

Hope it will help you.

Answer:

18

Step-by-step explanation:

62% of 29

[tex]\frac{62}{100}* 29[/tex]

[tex]0.62 * 29[/tex]

[tex]17.98[/tex]

[tex]18[/tex] .....best estimate if rounded off.

Answer:

18 is the answer

Step-by-step explanation:

The initial value of a function is the output value of the function when the input value is 0. For example, if your function is tracking how much money you made over a certain amount of time, then the initial value would be however much money you had to begin with on day 0.

Answer:

10minutes per meter

Explanation

⅘meters can be filled in 8 minutes

⅘m => 8minutes

1m => ?

(8 x 1) ÷ ⅘

8 x 5/4 = 10 minutes

Therefore, 1meter can be filled in 10minutes

Answer:

70%

Step-by-step explanation:

Correct/total questions --> Formula for this problem

Correct questions - 7

Total questions - 10

So, 7/10=70%!

Hope this helps you!

Answer:

54π

Step-by-step explanation:

The volume for a cone is πr²h/3, which if we replace the number in, we get :

π6²4,5/3, which is approximately 54π

Hope it helps :)

Answer:

1. 50

2.40

3. 9

Step-by-step explanation:

1. in this u need u plus ten with number given

2. in this u need to plus 5 in all the above numbers but i have subtracted bcoz it was below

3. in this u need to multiply 3 with every number like 9*3 27

hope it helps

Answer:

Step-by-step explanation:

There we go :))

The table on the left is arithmetic

This is because each term is increasing by the same amount (2) each time.

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

The table on the right is geometric

Why? Because this time we are multiplying each term by the same value (2) to get the next term.

Both involve the number 2, but the first table uses addition while the second table uses multiplication.

1) Arithmetic

~3,5,7

common difference of 2

2)Geometric

~3,6,12

each term is found by multiplying the previous one by a fixed number

Hopefully this helped- have a good day)

The rate is the plane gaining altitude (y) is 300 m/sec and The horizontal component (x) of velocity for the plane is 400 m/sec.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

An experimental plane just after takeoff climbs with a speed of 500 km/h at an angle of 37 degrees with the horizontal.

A.  The rate is the plane gaining altitude (y) will be

[tex]\rm y = v * sin \theta\\\\y = 500 *sin 37\\\\y = 300 \ m/sec[/tex]

The rate is the plane gaining altitude (y) is 300 m/sec

B.  The horizontal component (x) of velocity for the plane will be

[tex]\rm x = v * cos \theta\\\\x= 500 *cos 37\\\\x = 400 \ m/sec[/tex]

The horizontal component (x) of velocity for the plane is 400 m/sec.

More about the trigonometry link is given below.

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Answer:

  a) a +8a +3a = 180°

  b) 15°, 45°, 120°

  c) see attached

Step-by-step explanation:

Let 'a' represent the measure of the smallest angle. The largest angle is 8a, and the middle angle is 3a. The sum of angles, as always, is 180°.

  a +8a +3a = 180° . . . . . . equation modeling the relationship

__

  12a = 180° . . . . . . collect terms

  a = 15° . . . . . . . divide by 12

  3a = 3×15° = 45°

  8a = 8×15° = 120°

The angle measures are 15°, 45°, and 120°.

__

see attached. We have arbitrarily let the shortest side be 10 units.

[tex] \looparrowright \sf13x + 2 = 4x + 38[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf13x - 4x + 2 = 38[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf9x + 2 = 38[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf9x = 38 - 2[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf9x = 36[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf x = \dfrac{36}{9} [/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf x = 4[/tex]

Answer:

Step-by-step explanation:

[tex]13x + 2 = 4x + 38 \\ 13x - 4x = 38 - 2 \\ 9x = 36 \\ \frac{9x}{9} = \frac{36}{9} \\ x = 4 \\ [/tex]

Answer:

YELLOW

Step-by-step explanation:

Just always keep this tip in mind:

A negative times a positive is a negative, and a negative times another negative cancels out to become a positive.

If there is an odd number of negatives multiplied together, the outcome will always be negative.

Answer:

135 cm

Step-by-step explanation:

[tex] \cos(43) = \frac{75}{y} [/tex]

[tex]y = \frac{75}{ \cos(43) } [/tex]

[tex]y = 135[/tex]

Answer:

y ≈ 102 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos43° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{75}{y}[/tex] ( multiply both sides by y )

y × cos43° = 75 ( divide both sides by cos43° )

y = [tex]\frac{75}{cos43}[/tex] ≈ 102 cm ( to 3 sf )

Answer:

112.34

Step-by-step explanation:

The 2nd digit after the decimal point is in the hundredths position.

• If the digit following is ≥ 5 then round up

• If the digit following is < 5 then leave digit as it is

here the digit following the 3 in the hundredths position is 9 so round up

112.3398 ≈ 112.34 ( to the nearest hundredth )

Answer:

3

Step-by-step explanation:

Answer:

y=-6/10x+17/11

Step-by-step explanation:

1-5 keep it, change it, flip it. -6

12-2= 10

y=-6/10x+b

you can take one of the coordinates

I used (2,5) in the equation.

y is 5

m is -6/10

x is 2

-6/10x2 is -12/10

remember to drop down 5

5= -12/10+b

look for fluffy cloud -12/10 turn it to a positive and add it to five and the answer is 17/11 equals b.

Answer:

i guess it is 3a^3-20a^2+16a-24

Answer:

m • v^2 / 2  = E

Step-by-step explanation:

m = 2E/v^2

multiply each side by v^2

m • v^2 = 2E

divide each side by 2

m • v^2 / 2  = E

Answer:

c

Step-by-step explanation:

Answer: 3/14!

Your welcome!

Step-by-step explanation: The probability P is actually formulated as "the successful outcomes S" over "the total number of possible outcomes T," that is P = S/T You are expecting to draw a blue card. Therefore the probability will beP (one blue card) = 6/28 = 3/14!

The range of the given function is [-2,∞).

the range is the complete set of all possible values of the dependent variable say 'y'.

given function is:  f(x)=  |x – 12| – 2

f(x) = x-14  ∀ x≥12

f(x) = -x+10 ∀ x < 12

value of the above function at x=12 will be -2 means the minimum value of the function will be -2.

now, from the graph, we can see that f(x) is leading to infinity

so the range will be [-2,∞).

therefore, The range of the given function is [-2,∞).

to get more about range, refer to the link,

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The range of the function is all real number of input value (y-value) grater than or equal to -2.

Range of a function is the set of all the possible output values which are valid for that function.

The function given in the problem is,

[tex]g(x) = |x - 12| - 2[/tex]

Lets, compare the above function with the vertex form of the absolute function. The vertex form of the absolute function with vertex (h, k) can be given as,

[tex]y=a|x-h|+k[/tex]

On comparing the vertex form with the given equation, we get,

[tex]h=12\\k=-2[/tex]

Now, as the tange of a function is the set of all the possible output values which are valid for that function.

Here, the function does not take the value which are less than -2. Hence, the range of the function is all real number of input value (y-value) grater than or equal to -2.

Learn more about the range of the function here;

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