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Answer:

50.8

Step-by-step explanation:

Answer:

[tex]y = 2(x +3)^2 -2[/tex]

Step-by-step explanation:

Given

[tex](h,k) = (-3,-2)[/tex] --- vertex

[tex](x,y) = (-5,6)[/tex] --- point

Required

Determine the equation

The general form is:

[tex]y = a(x - h)^2 + k[/tex]

First, we solve for a:

Substitute [tex](h,k) = (-3,-2)[/tex] and [tex](x,y) = (-5,6)[/tex] in [tex]y = a(x - h)^2 + k[/tex]

[tex]6 = a(-5 - (-3))^2 - 2[/tex]

[tex]6 = a(-2)^2 - 2[/tex]

[tex]6 = 4a - 2[/tex]

Solve for a

[tex]4a = 6 + 2[/tex]

[tex]4a = 8[/tex]

[tex]a = 2[/tex]

So:

[tex]y = a(x - h)^2 + k[/tex]

[tex]y = 2(x - (-3))^2 -2[/tex]

[tex]y = 2(x +3)^2 -2[/tex]

Answer:

4,886.83feet

Step-by-step explanation:

The question will result in a right triangle with

Opposite = distance of the balloon above the ground = 950feet

Angle of elevation = 11 degrees

Required

Horizontal distance h (adjacent)

Using SOH CAH TOA identity

Tan theta =opp/adj

Tan 11 = 950/h

h = 950/tan 11

h = 950/0.1944

h = 4,886.83feet

Hence the horizontal distance from the balloon to the ground crew is 4,886.83feet

Answer:

Step-by-step explanation:

I hope you want the area.

Area = L * W

L = 24x^3

W = 5x^2

Area = 24x^3 * 5x^2

Area = 120 * x^(3 + 2)

Area = 120 * x^5

Note

When you multiply numbers or letters that have powers, if the base for both of them is the same, the powers are added.

The above answer is an example x^2 * x ^3 are letters (x) that are raised to the 2nd power and the 3rd power. You add the powers.

Numbers can do the same thing

64 * 8 = 256

Answer:

i think its $27.00 with a 20% discount

Step-by-step explanation:

$25 with a 10% discount is $22.50, $26 with a 15% discount is $22.10, and $27 with a 20% discount is $21.60. Therefore the cheapest option is $27.00 with a 20% discount.

Answer:

16.

Step-by-step explanation:

7×4= 28

since this is a ratio you so the same to the other side

4×4=16

Answer:

-16-22-23= -61

Step-by-step explanation:

Hope it was helpful .

Answer: 44g

Step-by-step explanation:

Half life refers to the length of time it takes for half of the atoms of the element in question to decay.

The half life here is 1 minute which means that in a minute, the amount of protactinium left would be:

= 352 / 2

= 176g

After the second minute:

= 176 / 2

= 88g

After the third minute:

= 88 / 2

= 44g

Answer:

11x4=44

Step-by-step explanation:

Answer:

divide both sides by cosx

4 sinx/cosx = 1

4 tanx = 1

tanx = 1/4

x = arctan(1/4) = 14.04°

but the tangent is also positive in quad III

so x = 180+14.04 = 194.04°

x = 14.04° or 194.04°

Step-by-step explanation:

do by this step

The value of x is 75.52°.

Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.

For the given situation,

The equation is 4 cos x + 2 = 3 for 0° < x < 360°.

⇒ [tex]4cosx=3-2[/tex]

⇒ [tex]4cosx=1[/tex]

⇒ [tex]cosx=\frac{1}{4}[/tex]

⇒ [tex]x=cos^{-1} (\frac{1}{4} )[/tex]

⇒ [tex]x=75.52[/tex]

Hence we can conclude that the value of x is 75.52°.

Learn more about trigonometry here

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Answer:

[tex]350.175 \div 7 \\ 50.025km[/tex]

Answer:

x=4

Step-by-step explanation:

To find x, start with the equation

(7x-5)=33 because you need the two angles to equal each other

7x=28 next subtract 5 from 33 following the rules of PEMDAS

x=4 now you will end up with x=4, after dividing 28 by 4.

Answer:

substitution method

x = 7

y = 2

Step-by-step explanation:

2x - 2y = 10

x = 7

substitute for x:

2(7) - 2y = 10

14 - 2y = 10

subtract 14 from each side of the equation:

-2y = -4

divide both sides by -2:

y = 2

Answer:

3 m

Step-by-step explanation:

sum the parts of the ratio, 1 + 2 + 5 = 8 parts

Divide the length by 8 to find the value of one part of the rope

24 m ÷ 8 = 3 m ← value of 1 part of the ratio

Thus the shortest piece is 3 m

The required length of the shortest piece is 3 meters.

Given that,
A rope 24m long is divided into three pieces in a ratio of 1:2:5. The length of the shortest piece in meters is​ to be determined.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here,
let the required proportion is equal to x,
then,

x + 2x + 5x = 24
8x = 24
x = 3

Now the lengths
x = 3 meter
2x = 6 meter
5x = 15 meter

Thus, the required length of the shortest piece is 3 meters.

Learn more about Ratio here:

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Answer:

2

Step-by-step explanation:

Replace t with 6:

g(t) = 2(t-3)-4 becomes g(6) = 2(6-3)-4 = 2(3) - 4 = 6 - 4 = 2

Answer:

Pictograph

Step-by-step explanation:

Answer:

degree for A is 29° and degree for Z is 0°

Answer:

The selected option

Step-by-step explanation:

Coincidentally, you answered correctly.

From the values of 3 and five, we can assume that the function of the table is Y=x+2.

But if we move to the next value pairs, that function is false.

10=6+2 that isn't correct.

If you apply this to all the pairs in the table you will find that there is not a function that represents the values given. Therefore, the first option is correct.

Answer:

It would cost 3.38 million for 2.6 megawatts.

Step-by-step explanation:

1.3 X 2.6 = 3.38

3.38 million for 2.6 megawatts.

Answer:

13

Step-by-step explanation:

Since the X points { (-4, -15), (-4, -2) } are the same, its just a matter of 15-2, which equals 13.

77

11 X 7 is 77.

if u get two numbers on a shape you just multiply it

Answer: A, D

Step-by-step explanation:

For number 7 the answer is A

For number 8 since you are only moving it is the same size, therefore, producing a congruent image for all 3 of those translation. So for 8 the answer is d.

Answer:

Look Below

Step-by-step explanation:

1) The answer is A. It is A because if you want a reflected images across the Y-Axis, you want just the X value to change. Not the Y. So since the Y is positive and the X is positive, if you want a reflected image you want the X to be negative and the Y to be positive.

2) The answer is D. It is D because those are all forms that will produce a Congruent Image.

If you find any faults in my answer please let me know. Thanks! Have a Good Day!

Answer: 77 degrees

Step-by-step explanation:

When looking at an arc, you use the inscribed angle theorem, which states that the measure of an inscribed angle is half of the measure of its interpreted arc. So since the measure of the arc is 154 degrees, you divide that by 2 and that will give you the measure of the angle, which is 77 degrees.

If you mea. 1 . -28 - 20 then the answer is going to be

[tex]1. - 48[/tex]

but if you mean -28 -20 the the answer is going to be

[tex] - 48[/tex]