Find the length of AB
help

Answer:

x² - 9x + 20

You are correct.

None of the listed choices are correct.

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

I think the question originally had 5 and -4 as the solutions

https://www.jmap.org/Worksheets/A.APR.B.3.ZerosofPolynomialsPR1.pdf

x = {-4, 5}

(x + 4)(x - 5) = 0

x² - 5x + 4x - 20 = 0

x² - x - 20 = 0     Answer E

Step-by-step explanation:

x = {4, 5}

y = (x - 4)(x - 5)

y = x² - 5x - 4x + 20

y = x² - 9x + 20

The point of intersection is given byr₁ = (212(34/35))i + 7(34/35)j + (−2 + 22(34/35))kr₁ = (2, 2, 2)

To find the point of intersection of the two lines 1₁ and 1₂, follow these steps:

Step 1: Equate the components of the two vectors212t₁ = -2t₂

(i)7t₁ = 2 + 1₂

(ii)-2 + 22t₁ = 4t₂

(iii) Step 2: Solve the simultaneous equations obtained in step 1 to get values of t₁ and t₂.

Multiplying equation (i) by -7/1061t₁ = 7/5t₂ (iv) Substituting this value of t₂ in equation (ii),7t₁ = 2 + 1(7/5t₂) = 17/5t₁ = 34/35 Therefore, t₁ = 34/35.

Substituting this value of t₁ in equation (iii),-2 + 22(34/35) = 4t₂T₂ = -114/140 = -57/70 Therefore, t₂ = -57/70.

Hence the point of intersection is given byr₁ = (212(34/35))i + 7(34/35)j + (−2 + 22(34/35))kr₁ = (2, 2, 2)

The answer for the angle between 1₁ and 12 is shown below: Angle between 1₁ and 1₂ is given by:θ = cos⁡θ = 1₁.1₂/|1₁||1₂| where 1₁.1₂ is the dot product of vectors 1₁ and 1₂ and |1₁| and |1₂| are their magnitudes.1₁.1₂ = (212t₁ × -2t₂) + (7t₁ × (2 + t₂)) + ((-2 + 22t₁) × 4t₂)= -424t₁t₂ + 14t₁ + 8t₂ - 8 + 88t₁t₂= 102t₁t₂ + 14t₁ + 8t₂ - 8|1₁| = √(212² + 7² + 22²) = √(45181) = 212√2|1₂| = √((-2)² + (2 + 1₂)² + 4²) = √(1₂² + 24) = √(1₂² + 24)cosθ = 1169/(212√2√(1₂² + 24))θ = cos⁻¹(1169/(212√2√(1₂² + 24))\)

Hence, θ is given by the above equation.

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Answer:

positive sign

I hope it's helps you ❤️☺️

When a coin is left from a certain height starts moving towards the Earth under the influence of gravity.

Gravity is a term from physics that refers to the natural phenomenon that causes objects with mass to be attracted to each other. On Earth, gravity is equivalent to 9.8 m / s² and this makes objects fall towards the ground.

According to the above, if a coin is dropped from a certain height it will go towards the ground because gravity will attract it and it will take an acceleration of 9.8 m / s².

According to the above, the answer is gravity, because this is the natural phenomenon that influences the direction the coin takes.

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Answer:

(7, -2)

Step-by-step explanation:

visualize

Answer:

the value of Celsius temperature is 100

o

 when Fahrenheit temperature is 212

o

.

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Correct on edge

Answer:(4,-3); 2x-7y=14

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

You didn't provide any choices or options to pick from but here are the possible answers is:

- Encourage the use of the incentive spirometer every 2 hours

-Instruct to splint incision when coughing and deep breathing.

-Reposition the client every 2 hours

-Assist with early ambulation.

Step-by-step explanation:

Hope I could help!

In the plan of care to prevent postoperative atelectasis, interventions should not include the use of tobacco products or exposure to secondhand smoke.

The nurse should include several interventions in the plan of care to prevent postoperative atelectasis, but there are specific interventions that should not be included. Atelectasis is the partial or complete collapse of the lung, and preventing it is crucial after surgery. Here are some interventions that should be included:

Incentive Spirometry: The nurse should encourage the client to use an incentive spirometer to promote deep breathing and lung expansion.

Early Ambulation: Encouraging the client to get out of bed and walk as soon as possible after surgery helps improve lung function.

Pain Management: Adequate pain control measures should be in place to ensure the client can take deep breaths without discomfort.

Coughing and Deep Breathing Exercises: The nurse should teach and encourage the client to perform regular coughing and deep breathing exercises to clear the airways and prevent mucus buildup.

Positioning: Proper positioning, such as elevating the head of the bed, can aid lung expansion.

What should not be included in the plan of care is the use of tobacco products or exposure to secondhand smoke, as smoking and smoke exposure are detrimental to lung health and can worsen atelectasis. These should be strictly avoided to prevent postoperative complications.

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The similarity ratio of these triangles is 3 : 4

From the question, we have the following parameters that can be used in our computation:

The triangles

The corresponding sides of the triangles are

Sides = 15 and 20

When represented as a ratio, we have

Ratio = 15 : 20

Simplify

Ratio = 3 : 4

Hence, the ratio is 3 : 4

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

Explanation:

Multiply both sides by 2 to clear out the fraction

y = (1/2)x+4

2y = 2[ (1/2)x + 4 ]

2y = 2*(1/2)x + 2*4

2y = x + 8

Then move the x term over to the left side

2y = x+8

2y-x = 8

-x+2y = 8

Optionally we can multiply both sides by -1

-x+2y = 8

-1*(-x+2y) = -1*8

x-2y = -8

This is in standard form Ax+By = C with A = 1, B = -2, C = -8

The reason why I multiplied both sides by -1 was to make A > 0 which is what some textbooks use as convention. Of course -x+2y = 8 is equally valid too.

Answer:

72

Step-by-step explanation:

Answer: 12 animals 36 people , in total 48 its so easy just adding and multiplying :)

Step-by-step explanation:6 knights 6 squires =12,  then animals human people 6 time animals 2 is 12 animals then more humans 2 times 12 the horses is 24 in total add up humans 24+12=36 and animals is 12 so 36 people, and 12 animals in total 36+12 is 48

From the table we can conclude that the slope of the line is 1/2 and the y-intercept of the line is -4.

The line passes through the points (-6,-7),(2,-3) and (8,0) .

Slope of the line = (0+3 )/ (8-2) = 3/6 = 1/2

Equation of the line :

y-0=1/2(x-8)

or, y=0.5x - 4

The y-intercept is -4 .

A line continues to be a geometry object with zero width that extends from both sides.  A straight line is one that has no bends and extends unbroken on both sides to infinity.

The general formula for the straight line is as follows:

ax² + by + c = 0 where x and y are variables and A, B, and C are constants

The slope-intercept version of the equation for a straight line is Y = mx + c.

In this case, m denotes the line's slope and c, its y-intercept.

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We can use the transformation y = (x - a) / (b - a) to generate a random variable y that is linear in x and uniformly distributed over (0, 1).

To find a random variable y that is linear in x and uniformly distributed over (0, 1), we can use the following transformation:
y = (x - a) / (b - a)
This transformation maps the interval (a, b) to the interval (0, 1) and ensures that the distribution of y is uniform.
To see why this is the case, we can use the formula for the probability density function (pdf) of a uniform distribution:
f(x) = 1 / (b - a)
This means that the probability of x being between any two values c and d is proportional to the length of the interval (d - c) and is given by:
P(c < x < d) = (d - c) / (b - a)
Now, let's find the pdf of y using the transformation above:
F(y) = P(y < Y) = P((x - a) / (b - a) < y) = P(x < (b - a) * y + a)
We can differentiate this to get the pdf of y:
f(y) = dF(y) / dy = f(x) / (b - a) = 1 / (b - a)
This shows that the distribution of y is indeed uniform over (0, 1).

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Answer:

b.8+10b,the cost would be $88

Step-by-step explanation:

if she buys 8 books worth $10 each

so 8×10= 80

plus $8 for shipment

so $80 +$8 =$88

Answer:

-4

Step-by-step explanation:

Answer:

\(5x + 8 + 2x - 6 \\ collecting \: like \: terms \: \\ 5x + 2x + 8 - 6 \\ 7x + 2\)

By using a trigonometric relation, we will see that the value of x is 60.57°

On the image, we can see a right triangle where x represents one of the angles.

We can see that the length of the two catheti are shown, such that the adjacent cathetus is 2.2, and the opposite cathetus is 3.9, then we can use the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Then we can write:

tan(x) = 3.9/2.2

Using the inverse tangent function in both sides, we will get:

Atan( tan(x)) = Atan(3.9/2.2)

x = Atan(3.9/2.2) = 60.57°

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Answer:

The Griffin is faster.

Step-by-step explanation:

Divide the meters of each animal by the amount of time they run 50/15.5= 3.24 approximately. 60/19= 3.16 approximately, so the Griffin is faster than the Lael

Answer:

x = 3

Step-by-step explanation:

Is x an exponent?

\( y = 3^x \)

\( 27 = 3^x \)

\( 3^3 = 3^x \)

\( x = 3 \)

Answer:

13 < x < 21.

Step-by-step explanation:

First the third side (x) must be less than 4 + 17 , that is  < 21.

Also 17 cannot  be greater than  4 + x:

17 < 4 + x

x > 13.

Answer:

110

Step-by-step explanation:

I hope this helps!

The obtained value of x after solving the equation (x-3)² + 9 = 0 by the square root principle will be x=3+31,3-3i. Option d is correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

(x-3)² + 9 = 0

(x-3)²= -9

(x-3)=√-9

(x-3)=√9×√-1

(x-3)=±3i

x=3±3i

Thus, the obtained value of x after solving the equation (x-3)² + 9 = 0 by the square root principle will be x=3+31,3-3i. Option d is correct.

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The answer to part a) is that next year, in 2023, NCSSM will use approximately 55,485 sheets of paper. In part b), total of approximately 363,353 sheets of paper will be used from 2018 through the end of 2030.


a) To calculate the paper used in 2023, we start with the initial amount used in 2018, which is given as 60,000 sheets of paper. We then need to calculate the decrease in paper use over the years. The rate of decrease is given as 2.25%, which can be written as 0.0225 in decimal form. To find the paper used in 2023, we multiply the initial amount by (1 - rate of decrease)^5, since five years have passed from 2018 to 2023.

b) To calculate the total paper used from 2018 to 2030, we need to sum up the paper used for each year in that time period. We start with the initial amount used in 2018, which is 60,000 sheets. Then we calculate the paper used each year using the same formula as in part a), multiplying the initial amount by (1 - rate of decrease)^n, where n represents the number of years since 2018. We sum up these values for the years 2018 to 2030, which is a total of 13 years.

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Without information about the rental agreement and the deposit amount, it is not possible to determine how much Jordan can expect back.

The rental agreement and state laws determine the amount of deposit that can be withheld for cleaning costs, as well as any other deductions that the landlord may make. To determine the amount that Jordan will receive back, it is necessary to review the rental agreement and any applicable state laws.

To solve this question, the following information needs to be considered:

Once these factors have been considered, it should be possible to determine how much of the deposit Jordan can expect back.

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Answer:

650

Step-by-step explanation: