Factoring Polynomials Completely

The ball traveled approximately \(26.27\) units in total.

To calculate the distance the ball traveled, we can use the distance formula between two points in a Cartesian coordinate system.

Distance = \(\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }\)

Let's calculate the distance between Player A and Player B first:

Distance_AB =

\(\sqrt{((16-2)^{2}+(9-4)^{2}) }\)

\(= \sqrt{(14^{2}+5^{2} ) } \\= \sqrt{(196 +25)} \\= \sqrt{221} \\= 14.87\)

Now, let's calculate the distance between Player B and Player C:

Distance_BC =

\(\sqrt{ ((25 - 16)^2 + (16 - 9)^2)}\\= \sqrt{ (9^2 + 7^2)}\\= \sqrt{(81 + 49)}\\= \sqrt{130}\\=11.40\)

Finally, we can calculate the total distance traveled by adding the distances AB and BC:

Total distance = Distance_AB + Distance_BC

\(= 14.87 + 11.40 \\= 26.27\)

Starting from Player A at \((2, 4),\) it was thrown to Player B at \((16, 9),\) covering a distance of about \(14.87\) units. From Player B, the ball was then thrown to Player C at \((25, 16),\) covering an additional distance of approximately \(11.40\) units.

Combining these distances, the total distance the ball traveled was approximately \(26.27\) units.

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Answer:

Part A: 1.2 minutes

Part B: 0.83

Part C: 25.2

Answer:

a. 1.2 minutes

b. one lap per 1.2 minutes

c. 25.20 minutes

Step-by-step explanation:

a. do 6 mins/5 laps which gives you 1.2, so 1.2 minutes or 1 minute and 20 seconds

b. uh one lap per 1.2 minutes

c. 25.2 minutes which is approx. 25 minutes and 20 seconds. I reallly hope this helps!

Answer:

3 is the base in this

Hope this helps you. Do mark me brainlist

Answer:

x= -2, -1

Step-by-step explanation: The solution is the x-value of the point of intersection

Step-by-step explanation:

3/5 is the fraction form

3/5×100 is the percentage

0.60 is the decimal

Tristan flies the plane at a speed of 493 mph when there is no wind.

To solve this problem, we can use the formula:

distance = rate x time

Let's start by finding Tristan's speed when flying against the headwind. We know that the distance he covers is 3795 miles and the wind speed is 7 mph. Let's assume his speed without the wind is x mph. Then his speed against the wind is (x - 7) mph. Using the formula, we can write:

3795 = (x - 7) * t1

where t1 is the time it takes to fly 3795 miles against the headwind.

Next, let's find his speed when flying with the wind. We know that the distance he covers is the same (3795 miles), but this time it takes him 14 hours less. So the time it takes to fly with the wind is t1 - 14. His speed with the wind is (x + 7) mph. Using the formula again, we can write:

3795 = (x + 7) * (t1 - 14)

Now we have two equations with two unknowns (x and t1). We can solve for x by eliminating t1. Let's start by expanding the second equation:

3795 = x*t1 + 7*t1 - 14x - 98

Add 14x to both sides:

14x + 3795 = x*t1 + 7*t1 - 98

Add 98 to both sides:

14x + 3893 = x*t1 + 7*t1

Substitute t1 from the first equation:

14x + 3893 = (x - 7)*t1 + 7*t1

14x + 3893 = x*t1 - 7*t1 + 7*t1

14x + 3893 = x*t1

Now we have a single equation with x and t1. We can substitute t1 from the first equation again:

14x + 3893 = x * (3795/(x-7))

Simplify by multiplying both sides by (x-7):

14x(x-7) + 3893(x-7) = 3795x

Expand and simplify:

14x^2 - 98x + 3893x - 27251 = 3795x

Subtract 3795x from both sides:

14x^2 - 6722x - 27251 = 0

Now we can solve for x using the quadratic formula:

x = (-b +/- sqrt(b^2 - 4ac))/(2a)

where a = 14, b = -6722, and c = -27251. Plugging in the values, we get:

x = (6722 +/- sqrt(6722^2 + 4*14*27251))/(2*14)

x = (6722 +/- sqrt(45619268))/28

x = (6722 +/- 6742)/28

So x can be either 481 or 493. We need to choose the positive value because Tristan's speed can't be negative. Therefore, the answer is: 493.

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The true statement is David's calculations are incorrect, he used the circumference and the height to find the volume.

Correct calculation:

C = 2πr

8.6 = 2 × 3.14 × r

8.6 = 6.28r

r = 8.6/6.28

r = 1.36942675159235 inches

convert 1.36942675159235 inches to cm

= 3.478343949044569 cm

Approximately,

r = 3.5 cm

Volume = πr²h

= 3.14 × 3.5² × 15.2

= 3.14 × 12.25 × 15.2

= 584.668 cm³

Approximately,

volume = 584.7 cm³

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the answer is 2/42 - 21.The expression (~/14 - 3)(/12 +7) is a product of two binomials. To simplify this expression, we need to distribute the first binomial over the second binomial.

So we can start by multiplying ~/14 with /12, and then with 7. Similarly, we can multiply -3 with /12 and then with 7. This gives us:

((~/14) x (/12)) + ((~/14) x 7) + ((-3) x (/12)) + ((-3) x 7)

Simplifying this expression, we get:

(/2 - 21/2) + (7~/2) + (-1/4) + (-21)

Combining like terms, we get:

-41/4 + (7~/2) - (21/2)

Which can be further simplified as:

2/42 - 21

Therefore, the answer is 2/42 - 21.
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The exact values of x that satisfy the equation 2 sin x + 3 sin x = 2 are:x = arcsin(2/5) + 2πk, where k is an integer.

To solve the equation 2 sin x + 3 sin x = 2, we will use algebraic manipulation and trigonometric identities to find the exact values of x in radians.

Given the equation 2 sin x + 3 sin x = 2, we can combine the like terms on the left side of the equation:

5 sin x = 2

To isolate sin x, we divide both sides of the equation by 5:

sin x = 2/5

Now, we need to find the values of x that satisfy this equation. Since sin x = 2/5, we can use the inverse sine function to find the angle whose sine is 2/5.

Using a calculator, we can find the principal value of the inverse sine of 2/5, which is approximately 0.4115 radians.

However, sine is a periodic function with a period of 2π. Therefore, there are infinitely many solutions for x. We can express these solutions using the general solution:

x = arcsin(2/5) + 2πk

where k is an integer.

So, the exact values of x that satisfy the equation 2 sin x + 3 sin x = 2 are:

x = arcsin(2/5) + 2πk, where k is an integer.

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Answer:

t=2x+ 2

Step-by-step explanation:

x is every phone call 2 is how many minutes she spends on each call The other 2 is the 2 minutes she already spended

Answer:

Step-by-step explanation:

t=2+2p

Answer:

370

Step-by-step explanation:

The relation R on the set (1, 2, 3, 4) can be represented by an arrow diagram and a matrix. The arrow diagram visually depicts the connections between the elements.

To represent the relation R on the set (1, 2, 3, 4) using an arrow diagram, we draw a directed arrow from each element in the set to the element it is related to. For example, we draw an arrow from 1 to 3 and 4, an arrow from 2 to 1, an arrow from 3 to 2 and 4, and an arrow from 4 to 2. The resulting arrow diagram shows the connections between the elements in the relation.

The matrix representation of a relation uses a table to show the presence or absence of connections between elements. For the relation R on the set (1, 2, 3, 4), we create a 4x4 matrix where the rows and columns correspond to the elements of the set. We fill in the matrix with 1s to indicate that there is a connection between the respective elements and 0s otherwise. In this case, the matrix would be:

| 0 0 1 1 |

| 1 0 0 0 |

| 0 1 0 1 |

| 0 1 0 0 |

In the matrix, a 1 in the i-th row and j-th column indicates that the element i is related to the element j. For example, the entry in the first row and third column is 1, indicating that 1 is related to 3.

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The exact value of cscθ is (35 * √(1190)) / 1190.

To find the value of cscθ (cosecant θ) given that cosθ = 1/√35 and sinθ < 0, we can use the reciprocal relationship between sine and cosecant.

Recall that cscθ is the reciprocal of sinθ. Since sinθ is negative, we can determine its value based on the quadrant in which θ lies.

In the unit circle, the cosine is positive in the first and fourth quadrants, while the sine is negative in the third and fourth quadrants.

Given that cosθ = 1/√35 and sinθ < 0, we can conclude that θ lies in the fourth quadrant.

Using the Pythagorean identity, sinθ = √(1 - cos^2θ), we can calculate the value of sinθ:

sinθ = √(1 - (1/√35)^2)

     = √(1 - 1/35)

     = √(34/35)

     = √34 / √35

     = (√34 / √35) * (√35 / √35)     [Multiplying numerator and denominator by √35 to rationalize the denominator]

     = √(34 * 35) / 35

     = √(1190) / 35

Now, since cscθ is the reciprocal of sinθ, we have:

cscθ = 1 / sinθ

     = 1 / (√(1190) / 35)

     = 35 / √(1190)

     = (35 * √(1190)) / 1190.

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Answer: 217

Step 1: Multiply 6 by 36. (PEMDAS)

6 x 36 = 216

Step 2: Add 1. (PEMDAS)

216 + 1 = 217

Answer = 217

Answer:

217 is the answer hope this helps

Using the Pythagorean theorem, we found that the value of the hypotenuse is √15 when the side lengths are √7 and √8.

Let's label the sides of the right triangle as follows: The length of one side is √7, the length of the other side is √8, and the length of the hypotenuse (which we need to find) is denoted as c.

According to the Pythagorean theorem, we have the equation: c² = (√7)² + (√8)²

Simplifying the equation, we get: c² = 7 + 8 c² = 15

To find the value of c, we take the square root of both sides of the equation: √(c²) = √15 c = √15

Therefore, the value of the hypotenuse is √15.

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Complete Question:

Find the value of hypotenuse when the side values are given as √7 and √8 using the Pythagorean theorem.

Answer:

y=-5, x=-1

Step-by-step explanation:

y=5x

/5 /5

y/5=x

y=9(y/5)+4

y=-5

-5=5x

/5   /5

-1=x

Answer:

3^2/3+2^2x7-20/5

Do inverse operations first.

9/3+28-4

3+28-4

Answer = 27

Step-by-step explanation:

Answer:

Complementary angles add up to 90 degrees and Supplementary angles add up to 180 degrees.

Hope this helps!

Recall the definition of absolute value:

• |x| = x if x ≥ 0

• |x| = -x if x < 0

So you need to consider 4 different cases (2 absolute value expressions with 2 possible cases each).

(i) Suppose 2x + 3 < 0 and x - 2 < 0. The first inequality says x < -3/2 and the second says x < 2, so ultimately x < -3/2. Then

|2x + 3| + |x - 2| = 6x

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

-2x - 3 - x + 2 = 6x

-3x - 1 = 6x

9x = -1

x = -1/9

But -1/9 is not smaller than -3/2, so this case provides no valid solution.

(ii) Suppose 2x + 3 ≥ 0 and x - 2 < 0. Then x ≥ -3/2 and x < 2, or -3/2 ≤ x < 2. Under this condition,

|2x + 3| + |x - 2| = 6x

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

2x + 3 - x + 2 = 6x

x + 5 = 6x

5x = 5

x = 1

This solution is valid because it does fall in the interval -3/2 ≤ x < 2.

(iii) Suppose 2x + 3 < 0 and x - 2 ≥ 0. Then x < -3/2 or x ≥ 2. So

|2x + 3| + |x - 2| = 6x

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

-2x - 3 + x - 2 = 6x

-x - 5 = 6x

7x = -5

x = -5/7

This isn't a valid solution, because neither -5/7 < -3/2 nor -5/7 ≥ 2 are true.

(iv) Suppose 2x + 3 ≥ 0 and x - 2 ≥ 0. Then x ≥ -3/2 and x ≥ 2, or simply x ≥ 2.

|2x + 3| + |x - 2| = 6x

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

2x + 3 + x - 2 = 6x

3x + 1 = 6x

3x = 1

x = 1/3

This is yet another invalid solution since 1/3 is smaller than 2.

So there is one solution at x = 1.

Answer:

x=15 if y=105

Step-by-step explanation:

105 divided by 21 equals 5 , 5 multiplied by 13 equals 15

Volatile organic compounds (d) evaporate easily and contribute to ozone formation.

The Volatile-organic-compounds (VOCs) are "organic-chemicals" which have high "vapor-pressure" and evaporate readily into atmosphere. They come from various sources, including industrial processes, vehicle emissions, solvents, and household products.

When VOCs are released into the air, they can contribute to the formation of ground-level ozone through complex chemical reactions involving sunlight and other pollutants. Ground-level ozone is a harmful air pollutant and a primary-component of smog.

Therefore, the correct option is (d).

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The given question is incomplete, the complete question is

Volatile organic compounds

(a) are considered a secondary criteria pollutant,

(b) are often odorless and therefore present a great danger to humans,

(c) are responsible for increasing greenhouse gas concentrations,  

(d) evaporate easily and contribute to ozone formation.

Answer:

hope this helps!

Step-by-step explanation:

hyp. is always opposite the right angle (the square)

opposite is always opposite the labelled angle (the rounded ones, with the 0 next to them)

Answer:

9/16 pounds

Step-by-step explanation:

1 pound = 16 ounces

With this information, we have make a proportion to find the number of pounds 9 ounces is

Let p = the number of pounds

16/1 = 9/p

Multiply both sides by 1 to get

16 = 9/p

Multiply both sides by p

16p = 9

Divide both sides by 16

p = 9/16

This fraction is in its simplest form and can't be simplified any more.

Answer:

9/16 is the answer brainliests

Step-by-step explanation:

Answer:

The answer is 7 7/8.

Step-by-step explanation:

Divide the hand on cups Augello has with the required cups it needs to make a batch.

5 1/4 ÷ 2/3

21/4 · 3/2

63/8 = 7 7/8

Answer:

The answer is if i am doing my math right u could make 7 batches

Step-by-step explanation:

dont have one sorry i did this off the top of my head

The perimeter of the square is 24√2 units.

We have,

We can start by finding the side length of the square.

The distance between the points (-4, 7) and (2, 1) can be found using the distance formula:

d = √[(2 - (-4))² + (1 - 7)²]

= √[6² + (-6)²]

= √(72)

= 6√2

Since the square has equal sides, the perimeter is simply four times the side length:

perimeter = 4 × side length = 4 × 6√2 = 24√2

Therefore,

The perimeter of the square is 24√2 units.

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The surface area of an egg shell scales as the mass of the egg shell raised to 1.82694

The term surface area in math is defined as the area occupied by a three-dimensional object by its outer surface

Here we know that the area of a cube with edged is proportional to the second power d² while its volume is proportional to the third power d³.

Here we know that for any bounded solid object, here we have which encloses a region with some volume V and its enclosing surface has area A, where as the same kind of proportions can be derived in terms of a linear dimension d of the object, here for example the diameter of the object.

AS we all know that the surface area is directly proportional to the 3rd power of the mass of the egg, here we have A = km³ where A is the surface area, k a constant of proportionality, and m the mass.

For a chicken egg we have 28 = k(60)⁰°⁶⁷

Here by solving for k we get:

=> k = 28/60⁰°⁶⁷ ≈ 1.82694

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Answer:

x = 4

y = 2

Explanation:

2(4) = 8 - 2 = 6

3(4) = 12 + 2 = 14