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[tex]\textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] ~\dotfill\\\\ (5-4x^3)(5+4x^3)\implies [(5)^2-(4x^3)^2]\implies [(5^2)-(4^2x^{3\cdot 2})] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 25-16x^6~\hfill[/tex]

Step-by-step explanation:

B

D

A

с

2

2-1

1

2

3 4 5

2 1

2

2 4 5

A

B

2-1

1

2

B

5 4 3 2 1

1

2 3 4 5

Step-by-step explanation:

For finding k we'll have to plug in the x-value of the coordinate (3,k) into the equation, and solve for the y:

5(3) - 2y = 7

15 - 2y = 7

2y = 8

y = 4 => k =4

2) I assume the gradient is the slope of the line. If so, just isolate the y in the original equation and see what's the coefficient of the x:

-2y = -5x + 7

y = (5/2)x + 7/2 => the gradient is 5/2

3) the condition of perpendicularity is expressed by the following relation:

a * a' = -1

Where a is the slope of the first line and a' of the second line. We need to find a' that will be:

-1/a = -1/(5/2) = -2/5

The perpendicular line will be:

y = (-2/5)x + b

We need to find  b, and we know that this line passes through A (1,-1):

-1 = (-2/5)*1 + b

b = -1+(2/5) = -3/5

The equation will be:

y = (-2/5)x - 3/5.

4) I don't know what that symbol means (pV2).

We have:

[tex]1-\frac{1}{3} >0[/tex]    ;   [tex]1- \frac{11}{17}>0[/tex]  ;    [tex]1-\frac{132}{157}>0[/tex]   ⇒ right

[tex]\frac{-1}{7}, \frac{-51}{107},\frac{-347}{949} <0[/tex]  ⇒ wrong

[tex]\frac{7}{5}, \frac{131}{47} ,\frac{945}{711} >1[/tex] ⇒ wrong

ANSWER: [tex]\frac{1}{3} ,\frac{11}{17} ,\frac{132}{157}[/tex]

ok done. Thank to me :>

Answer:

y = 0.4 x

Step-by-step explanation:

Answer:

4x + 22

Step-by-step explanation:

Answer:

631 m²

Step-by-step explanation:

Outer length of park = Total area - Area of pond

Outer length of park = 1000 - 369

Outer length of park = 631 m²

Answer:

Hope it will help you a lot.

Answer:

The first is 1 and the second is 28 i believe

Step-by-step explanation:

Hope this helps:)

Answer:

x = 2

Step-by-step explanation:

(4+3x)/2 = 5

4+3x = 10

3x = 6

x = 2

Answer:

the answer is two

Step-by-step explanation:

4/2 3x/2=5

2+1.5x=5

-2.        -2

1.5x=3

————

1.5.   1.5

3/1.5=2

Answer: 40

Step-by-step explanation: do 6 add 5 add 4 add 3 add 4 add 2 add 6 add 10

Answer:

13.4

Step-by-step explanation:

You would take the width x 2 which is 13.4. Now you subtract the combined width from 40.2. From here you are left with 26.8. Since this is a rectangle the length would be the same on both sides. You divide 26.8 by 2 and you get 13.4.

The kinetic energy of the roller coaster is 2000Joules

Given the formula for expressing the velocity of the roller coaster is given as:

[tex]v = \sqrt{\frac{2k}{1000} }[/tex]

Given the following parameter:

v = 10m/s

Substitute the given parameter into the formula to have:

[tex]10 = \sqrt{\frac{2k}{1000} }[/tex]

Square both sides of the equation:

[tex](10)^2=(\frac{2k}{1000} )^2\\100=\frac{4k^2}{1,000,000} \\4k^2=100,000.000\\k^2=\frac{100,000,000}{4} \\k^2=4,000,000\\k=2000Joules[/tex]

Hence the kinetic energy of the roller coaster is 2000Joules

Learn more on subject of formula here: https://brainly.com/question/657646

Answer:

You need to use √2k/1000 formula.

2000 joule is the correct answer.

Answer:

62% = 31 / 50

Step-by-step explanation:

62/100

if you need to simplify then it would be 31/50

Answer:

25.

Step-by-step explanation:

5 ft 7 in = 5.583 ft.

We have 2 similar triangles here.

If h is the height of the tree, then:

h / 5.583 = 18/4

h = 18*5.583/4

h = 25.12 ft

The height of the tree is approximately 25.12 feet.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

The ratio of the shadow lengths is equal to the ratio of the object heights.

In other words, if we let H be the height of the tree in feet and h be the height of the person in feet, we have:

H/h = 18/4

We can find h by converting the person's height to feet. Since 1 inch is equal to 1/12 foot, the person's height in feet is 5 + 7/12 = 5.58 feet.

Substituting this value into the equation above and solving for H, we get:

H = (18/4) x 5.58 feet

= 25.12 feet

Therefore, the tree is around 25.12 feet tall.

Learn more about the Ratio here:

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Answer:

Slope is 4.8

Step-by-step explanation:

[tex]{ \tt{G(x) = 4.8x - 5}} \\ [/tex]

Answer: The Answer is 4.8

Answer:

126 1/3 yards

Step-by-step explanation:

1 foot = 1/3 yard

379 feet = 379/3 yard= 126 1/3 yards

Answer:

-7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-(-9))/(2-3)

m=(-2+9)/-1

m=7/-1

m=-7

Answer: 7/12 miles

Step-by-step explanation:

20mph = 20/60 miles per minute = 1/3 miles per minute

1 min 45s = 1 min + 3/4 min = 7/4 min

1/3 x 7/4 = 7/12 miles

The distance travelled by car with the given speed and time is 7/12 miles.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Given that, a car is traveling at 20 miles per hour during rush hour.

Time =1 minute and 45 seconds

= [tex]1\frac{45}{60}=1\frac{3}{4}[/tex]

= 7/4 minutes

Now, 20 miles per minute

= 20/60 miles per minute = 1/3 miles per minute

We know that, Distance =Speed×Time

= 1/3 ×7/4

= 7/12 miles

Therefore, distance travelled by car is 7/12 miles.

To learn more about the speed, distance, and time visit:

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Answer:

the answer is A

Step-by-step explanation:

9-2(10)         9-20

The given function is a linear function that decreases as the value of the

input x increases.

Reasons:

The given function is f(x) = 9 - 2·x

The output of the function is the value of f(x) for a given input x of the function.

The input value, x is substituted into the function to obtain the output value, f(x).

Given that the input, x = 10

We have;

f(10) = 9 - 2×10 = -11

Therefore, the correct option for f(10) is A. -11

Learn more about functions here:

https://brainly.com/question/10781304

Answer:

176

Step-by-step explanation:

9.10 / 91 = 1/10

17.60 x 1/10 = 176

Answer:

a+b)(a-b)

(Step-by-step explanation:

375 inches of cable were used for an elevator with weight limit of 800 lbs

Let y represent the weight in pounds and x represent the inches of cable.

Since y and x are proportional:

y = kx,

k is the constant of proportionality.

15 inches of cable, we can hold up to 32 pounds. Hence:

32 = 15k

k = 2.13 pounds per inch

y = 2.13x

For a weight of 800 lbs, y= 800:

800 = 2.13x

x = 375 inches

375 inches of cable were used for an elevator with weight limit of 800 lbs

Find out more on equation at: https://brainly.com/question/2972832

Answer: yes

Step-by-step explanation:

it's took 10 hour maybe what subject is this

Answer:

Step-by-step explanation:

     f(x) = x² - 2x + 5

1)   f(2) = (2)² - 2(2) + 5 = 5

2) f(-3) = (-3)² - 2(-3) + 5 = 20

3)  f(0) = (0)² - 2(0) + 5 = 5

4) f(5) - f(-2) = (5)² - 2(5) + 5 - [(-2)² - 2(-2) + 5 = 20 - 13 = 7

5) f(1) + f(6) = (1)² - 2(1) + 5 + [(6)² - 2(6) + 5 = 4 + 29 = 33

Answer:

2rr

Step-by-step explanation:

Answer:

The domain is the x-values from least to greatest, while the range is the y-values from least to greatest. For this problem, domain would be [3, 18] and range would be [-12, 15].

Step-by-step explanation:

Since we know domain is the x-values listed from smallest to largest, we can order our values that way:

(3, -1), (5, 15), (7, -1), (11, -12), (18, -6).

3<5<7<11<18

That means the range is (3, 18). However, since both 3 and eighteen are included in the set, we use brackets. [3,18], putting the smaller number first, followed by a comma, and then the bigger number.

We will do the same for the range.

(11, -12), (18, -6), (3, -1), (7, -1), (5, 15)

-12<-6<-1=-1<15

This means the range is (-12, 15). Since -12 and 15 are included in the set of values, we use brackets. [-12, 15].

Answer:

See below (along with unit circle attached)

Step-by-step explanation:

[tex]sin(t)=-\frac{\sqrt{3}}{2}[/tex]

[tex]t=\frac{4\pi}{3},\frac{5\pi}{3}[/tex]

[tex]cos(t)=\frac{1}{2}[/tex]

[tex]t=\frac{\pi}{3},\frac{5\pi}{3}[/tex]

It really helps to use the unit circle! I've attached it below for your convenience. Keep in mind that a point on the unit circle is defined by [tex](cos(\theta),sin(\theta))[/tex] where [tex]\theta[/tex] is measured in radians.

Answer:

don't know

Step-by-step explanation:

Answer:

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