If (x,1), (-3,7), (-5,9), (5,4) find the value of x

Answer:

[tex]8x^2+18x-35[/tex]

Step-by-step explanation:

(4x-5)(2x+7) -> since its area

8x^2+28x-10x-35

so final answer is

8x^2+18x-35

which means its C

Answer:

8x^2 + 18x - 35 would be ur answer

Step-by-step explanation:

The value of B-A of the matrices is:

            [0   5 -10]

B - A =  [-3 -4    7]​

            [-1   0   -6] ​

A matrix (plural matrices) is a set of numbers arranged in rows and columns so as to form a rectangular array.

The number of rows of a matrix can be determined by counting from top to bottom and the number of columns can be determined by counting from left to right.

We can find the value of B - A of the matrices by subtracting corresponding values of the element of each matrix. That is:

      [4 -4 5]                        

A =  [3 2 -4]            

       [2 2 5]

       [4 1 -5]

B =  [0 -2 3] ​

       [1   2 -1​] ​

            [4-4  1-(-4)   -5-5]

B - A =  [0-3  -2-2  3-(-4)] ​

            [1-2    2-2     -1-5] ​

            [0   5 -10]

B - A =  [-3 -4    7]​

            [-1   0   -6] ​

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Complete Question

Given the matrices A and B shown below, find B − A .

      [4 -4 5]                        

A =  [3 2 -4]            

       [2 2 5]

       [4 1 -5]

B =  [0 -2 3] ​

       [1   2 -1​] ​

Answer:

L = 5cm

Step-by-step explanation:

Subtract 6 from both sides.

L = 11-6 cm

L = 5cm

Brainliest please.

Check the picture below.

[tex]tan(\theta )=\cfrac{11}{10}\implies tan^{-1}[tan(\theta )]=tan^{-1}\left( \cfrac{11}{10} \right) \\\\\\ \theta =tan^{-1}\left( \cfrac{11}{10} \right)\implies \theta \approx 47.73^o[/tex]

Make sure your calculator is in Degree mode.

The total momentum between the objects during the collision is 210 kgm/s

Momentum is the product of the mass of an object and its velocity.

Since two objects are in motion towards each other. The first has a mass of 10 kg and a velocity of 7 m/s. The second object has a mass of 10 kg and a velocity of 14 m/s, from the law of conservation of momentum, the total momentum during the collision is the sum of their momenta.

So, the total momentum P = p + p' where

So, P = mv + m'v'

Given that

Substituting the values of the variables into the equation for total momentum, we have

P = mv + m'v'

P = 10 kg × 7 m/s + 10 kg × 14 m/s

P = 70 kgm/s + 140 kgm/s

P = 210 kgm/s

So, the total momemtum is 210 kgm/s

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Use numerals instead of words, the value of k is equal to [tex]p^3[/tex].

Let p and k be two integers. Since p - 1 is a factor of p^4 + p^2 + p - k, then we can express the equation as follows:

[tex](p - 1)(x) = p^4 + p^2 + p - k[/tex]

By expanding the left side of the equation, we can write:

[tex]p^4 - p^3 + p^2 - p + x = p^4 + p^2 + p - k[/tex]

Simplifying the equation, we get:

[tex]-p^3 + x = -k[/tex]

Therefore, the value of k is equal to p^3.

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If p - 1 is a factor of polynomial p^4 + p^2 + p - k, the value of k is: 3

In this question we have been given a polynomial p^4 + p^2 + p - k .

We need to determine the value of k if p - 1 is a factor of p^4 + p^2 + p - k

Since  p - 1 is factor of p^4 + p^2 + p - k, p - 1 = 0

Consider p - 1 = 0

p = 1

This means p = 1 is root of given polynomial.

For p - 1 to be a factor the polynomial , on p = 1 submitting should equate to 0

i.e.,  p^4 + p^2 + p - k = 0

1^4 + 1^2 + 1 - k = 0

1 + 1 + 1 - k = 0

3 - k = 0

3 - k + k = 0 + k

k = 3

Therefore,  the value of k is: 3

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well, the quiz really has "x" questions, which oddly enough is the 100%.

we also know that Destiny answered 15, and that's 75%, what the dickens is "x"?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 15& 75 \end{array} \implies \cfrac{x}{15}~~=~~\cfrac{100}{75} \\\\\\ \cfrac{ x }{ 15 } ~~=~~ \cfrac{ 4 }{ 3 }\implies 3x=60\implies x=\cfrac{60}{3}\implies x=20[/tex]

Answer:

B

Step-by-step explanation:

Answer:

A)  Functions A and B have the same y-intercept.

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

Function A is a linear equation in slope-intercept form.

Therefore:

The x-intercept is when y = 0.

[tex]\begin{aligned}\textsf{$x$-intercept of Function A}: \quad -3x+2&=0\\-3x&=-2\\x&=\dfrac{2}{3}\end{aligned}[/tex]

Reading from the table, the x-intercept of Function B is x = 4.

Therefore, the two functions do not have the same x-intercept.

The y-intercept is when x = 0.

We have already determined that the y-intercept of Function A is y = 2.

Reading from the table, the y-intercept of Function B is also y = 2.

Therefore, both functions have the same y-intercept.

A linear function has one independent variable and one dependent variable.  The highest exponent of both variables is one.

Therefore, Function A is a linear function.

In a linear relationship, as one variable increases/decreases the other variable changes at the same rate.

For Function B, every time x increases by 2 units, y decreases by 1 unit.

Therefore, Function B is also a linear function.

We have already determined that the slope of Function A is -3.

[tex]\boxed{\sf Slope=\dfrac{change\:in\:y}{change\:in\:x}}[/tex]

For Function B, every time x increases by 2 units, y decreases by 1 unit for Function B.  Therefore, the slope of Function B is -¹/₂.

As 3 > ¹/₂, the slope of Function A is steeper than the slope of Function B.

The side of the right angle triangle marked x have length equal to 7 using the Pythagoras rule

The Pythagoras rule states that in a right-angle triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. 

We shall evaluate the length of the side marked x as follows:

25² = x² + 24²

625 = x² + 576

x² = 625 - 576 {collect like terms}

x² = 49 {take square root of both sides}

x = √49

x = 7

Therefore, the length of the side of the right angle triangle marked x is equal to 7 using the Pythagoras rule.

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The sentence "six more than the quotient of a number and 7 equals 5" in an equation would be 6 + (c/7) = 5.

What is the quotient?

A quotient is defined as when dividing one number by another, the result is called the quotient.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given a variable c therefore, the translation of the given equation :

six more than can be expressed as 6+ or +6.

A quotient, commonly known as c/7, is the solution to a division issue and can also be a fraction.

and "equals 5" is clearly equal to 5 or =5, hence the result is 6 + (c/7) = 5.

The sentence "six more than the quotient of a number and 7 equals 5" in an equation would be 6 + (c/7) = 5.

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The slope of the line is 0

It is important to note that the formula for the equation is expressed as;

y = mx + c

Where;

From the information given, we have the points

(0, 0) (0, 5)

The formula for calculating the slope of  a line is expressed as;

Slope, m = y₂- y1/x₂ - x₁

Substitute the values

Slope, m = 5 - (0)/ 0 - 0

Subtract the values

Slope, m = 5/ 0

Divide the values

Slope, m = 0

Hence, the value is 0

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The equation that models the temperature​ y, in degrees​ Fahrenheit, after x hours is y = 42 + 7x

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

Initial temperature = 42°F

Rate of increment = 7°F

These parameters mean that:

We need to find the equation that models the temperature​ y, in degrees​ Fahrenheit, after x hours.

This is calculated as

y = Initial temperature + Rate * Number of hours

Substitute the known values in the above equation, so, we have the following representation

y =42 + 7x

The above equation models the temperature​ y, in degrees​ Fahrenheit, after x hours.

Next, we draw the graph by taking few points from the equation

x     0    1      2       3

y    42   49   56    63

See attachment for the graph

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Complete question

The temperature at sunrise is 42°F. Each​ hour, the temperature rises 7°F. Write an equation that models the temperature​ y, in degrees​ Fahrenheit, after x hours. What is the graph of the​ equation?

Function rules will always be based on the formula y = mx + b.

You can use this formula to set up an equation with the numbers in your current problem.

y  = mx + b

-6 = 2(1) + -8

Hence, the function rule would be expressed as:

y = 2x + (-8)

The exact value of sin 170⁰ cos 55⁰ + cos 170⁰ sin 55⁰ is -0.707.

The right expression is sin 170⁰ cos 55⁰ + cos 170⁰ sin 55⁰.

We have to find the exact value of sin 170⁰ cos 55⁰ + cos 170⁰ sin 55⁰.

The angles and sides of a right-angle triangle are measured using these trigonometric values. Cotangent, secant, and cosecant are the other three significant values in addition to sine, cosine, and tangent.

To solve this question we use the formula

sin(A+B) = sinA cosB + cosA sinB

If we compare the given expression by the formula, we get

A = 170⁰ and B = 55⁰

So the exact value of

sin 170⁰ cos 55⁰ + cos 170⁰ sin 55⁰ = sin(170⁰ + 55⁰)

sin 170⁰ cos 55⁰ + cos 170⁰ sin 55⁰ = sin(225⁰)

Using the calculator the value of sin(225⁰) = -0.707

sin 170⁰ cos 55⁰ + cos 170⁰ sin 55⁰ = -0.707

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The exact value of sin 170° cos 55° cos 170° sin 55° is startfraction startroot 3 endroot over 2 endfraction negative.

The exact value of sin 170° cos 55° cos 170° sin 55° can be calculated using the trigonometric identities.

First, the double angle identities for sine and cosine can be used to express the given expression as:

sin 170° cos 55° cos 170° sin 55° = (sin 170°)2 cos 55° (cos 170°)2 sin 55°

Now, applying the double angle identities for sine and cosine, the given expression can be written as:

sin 170° cos 55° cos 170° sin 55° = (1 - cos 340°) (1 - cos 110°) (1 + cos 340°) (1 + cos 110°)

Now, using the cosine addition formula, the given expression can be written as:

sin 170° cos 55° cos 170° sin 55° = (1 - cos 340°) (1 - cos 110°) (2 cos 170° cos 170°)

Now, applying the double angle identity for cosine, the given expression can be written as:

sin 170° cos 55° cos 170° sin 55° = (1 - cos 340°) (1 - cos 110°) (1 - (sin 170°)2)

Now, applying the Pythagorean identity, the given expression can be written as:

sin 170° cos 55° cos 170° sin 55° = (1 - cos 340°) (1 - cos 110°) (1 - (1 - (cos 170°)2))

Now, using the cosine addition formula, the given expression can be written as:

sin 170° cos 55° cos 170° sin 55° = (1 - cos 340°) (1 - cos 110°) (2 cos 170° cos 170° - 1)

Finally, applying the double angle identity for cosine, the given expression can be written as:

sin 170° cos 55° cos 170° sin 55° = (1 - cos 340°) (1 - cos 110°) (1 - (cos 340°)2)

Now, applying the Pythagorean identity, the given expression can be written as:

sin 170° cos 55° cos 170° sin 55° = (1 - cos 340°) (1 - cos 110°) (1 - (2 startfraction startroot 3 endroot over 2 endfraction)2)

Therefore, the exact value of sin 170° cos 55° cos 170° sin 55° is startfraction startroot 3 endroot over 2 endfraction negative.

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The angle P in the intersected line is 35 degrees.

Two angles are called complementary if their measures add to 90 degrees

Therefore, angles N and P are complementary angles.

The angle M is 125 degrees.

Hence, Let's find the measure P.

Therefore,

N + P = 90°

Let's find the angle N. The sum of angle M and N is 180 degrees. The angle M is given as 125 degrees. Therefore,

180 - 125 = N (sum of angles on a straight line)

N = 55 degrees

Therefore, let's subtract the angle N from 90 degrees to get the angle P as follows:

P = 90 - 55

P = 35 degrees.

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The mixture that contains the greatest amount of acetic acid is the mixture C.

A mixture is a substance that contains tow ore more constitutes in various quantities which may or may not be able to be separated.

To determine the mixture with a greater amount of acetic acid, all the mixtures are converted to decimal forms such as the following:

Mixture A = 0.036 acetic acid ( already in a decimal form)

Mixture B = 4.2% = 4.2/100 = 0.042

Mixture C = 1/22 = 0.046

Therefore,the mixture that has the highest amount of acetic acid = mixture C.

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Answer:

B. 4.8

Step-by-step explanation:

The average age of all the animals is B. 4.8.

From the information, at the animal rescue, 40% of the animals are dogs and 60% of the animals are cats. If the average age of the dogs is 9 months and the average age of the cats is 2 months.

To find the average age of all the animals, we need to calculate the weighted average of the ages of the dogs and cats, where the weights are the proportions of dogs and cats in the rescue.

The average age of all the animals is:

(0.4 * 9 months) + (0.6 * 2 months)

= 3.6 months + 1.2 months

= 4.8 months.

So the average age of all the animals at the rescue is 4.8 months.

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To solve this we must be knowing each and every concept related to  cube root and its calculations. Therefore, the cube roots of 11 is 2.223.

In a nutshell, the cube roots of almost any integer is the component that we multiply on its own three times to produce the specific values. Remember that now the cube roots of an integer is the inverse of its cubing.

Only when yyy= x is the cube root of such a number x , a number y. All nonzero real numbers get one actual cube root and two complex conjugated cube roots, while all nonzero complex numbers possess three distinct complex cube roots.  The cube roots of 11 is 2.223.

Therefore, the cube roots of 11 is 2.223.

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The area inside the larger loop and outside the smaller loop of the Limacon [tex]r=\frac{1}{2}+cos\theta[/tex] is [tex]\frac{\pi+3\sqrt3}{3} u^2[/tex].

The given equation is [tex]r=\frac{1}{2}+cos\theta[/tex].

The polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction. The relationship between rectangular and polar coordinates is:

[tex]x=rcos\theta[/tex]

[tex]y=rsin\theta[/tex]

[tex]r^2=x^2+y^2[/tex]

[tex]\theta=tan^{-1}(\frac{y}{x})[/tex]

[tex]J=r[/tex]

The area between the curve [tex]r=f(\theta)[/tex] and two polar radius corresponding to [tex]\theta_1=\alpha[/tex] and [tex]\theta_2=\beta[/tex] is:

[tex]A=\frac{1}{2}\int_{\alpha}^{\beta}[f(\theta)]^2d\theta[/tex]

We have that:

[tex]\frac{1}{2}+cos\theta=0[/tex]

[tex]cos\theta=-\frac{1}{2}[/tex]

[tex]\theta_1=\frac{2\pi}{3}[/tex]

[tex]\theta_2=\frac{4\pi}{3}[/tex]

Then, the top half of larger loop of the Limacon is defined on the interval [tex][0, \frac{2\pi}{3}][/tex] and bottom half of smaller loop is defined on the interval [tex][\frac{2\pi}{3}, \pi][/tex].

Therefore, the area inside the larger loop and outside the smaller loop of the given Limacon will be:

[tex]A=2\frac{1}{2}[\int_0^{2\pi/3}(\frac{1}{2}+cos\theta)^2d\theta-\int_{2\pi/3}^{\pi}(\frac{1}{2}+cos\theta)^2d\theta][/tex]

[tex]=\int_0^{2\pi/3}(\frac{1}{4}+cos\theta+cos^2\theta)d\theta-\int_{2\pi/3}^{\pi}(\frac{1}{4}+cos\theta+cos^2\theta)d\theta[/tex]

[tex]=\int_0^{2\pi/3}(\frac{1}{4}+cos\theta\frac{1}{2}+\frac{cos2\theta}{2})d\theta-\int_{2\pi/3}^{\pi}(\frac{1}{4}+cos\theta+\frac{1}{2}+\frac{cos2\theta}{2})d\theta[/tex]

[tex]= (\frac{3}{4}\theta+sin\theta+\frac{sin2\theta}{4})|_0^{2\pi/3}-(\frac{3}{4}\theta+sin\theta+\frac{sin2\theta}{4})|_{2\pi/3}^{\pi}[/tex]

[tex]= \frac{\pi}{2}+sin\frac{2\pi}{3}+\frac{1}{4}sin\frac{4\pi}{3}-(\frac{3\pi}{4}-\frac{\pi}{2}-sin\frac{2\pi}{3}-\frac{1}{4}sin\frac{4\pi}{3})[/tex]

[tex]= \frac{\pi}{4}+\sqrt3-\frac{1}{4}\sqrt3[/tex]

[tex]= \frac{\pi+3\sqrt3}{3} u^2[/tex]

Therefore, the area inside the larger loop and outside the smaller loop of the Limacon [tex]r=\frac{1}{2}+cos\theta[/tex] is [tex]\frac{\pi+3\sqrt3}{3} u^2[/tex].

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The relationship between angle 1 and 2 is alternate exterior angles.

When parallel lines are cross by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, linear angles, same side interior angles, alternate exterior angles, vertically opposite angles.

The parallel lines are line m and line l. The parallel lines l and m are cut by a transversal line and the angles formed are angle 1 and 2. This establish an angle relationship.

Therefore, the angle 1 and angle 2 forms an angle relationships.

Hence, the special relationship of angle 1 and 2 are alternate exterior angles.

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His net profit  when he sells the building, to the nearest hundred dollars is  d. $606,000 profit.

We were told that ;

The twenty-room apartment complex that Wayne purchased for $759,000 fifteen years ago is scheduled to be put up for sale.

Since then, the local real estate market has been in decline, and the property's value has dropped by 3.89% annually.

Each of Wayne's units rents for $495 a month, and he spends $26,400 a year on building maintenance.

Assume Wayne has consistently maintained a three-quarter occupancy rate at his apartment building.

Annual Revenue can be calculated as [Monthly Rent * Number of Rooms  Number of months * Three-quarters]

If we input the values, we have  = [495 * 20 * 12  (3/4)]

= $89100

Then the Total Profit can be calculated as the  [Annual Revenue - Annual Cost) * (Number of years)]

And this can be computed as :

                 = (89100 - 26400) * 15

                 = $940500

Then the Net Profit can be compued as [ Value of the building at the end of the 15th year + Total profit from renting - Cost of the building]

= [424490.38 + 940500 - 759000 ]

= 605990.38

=  $606000

Therefore, option D is correct.

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The factors of 486 can be figured out by expressing it as products of its prime numbers, that is 486 = 2 × 3 × 3 × 3 × 3 × 3

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, which includes 1 and the the number.

The first five prime numbers are 2, 3, 5, and 7. We shall divide the number 486 with prime numbers that are factors beginning with 2;

486/2 = 243

2 is not a factor of 243, the next prime number 3 is, so;

243/3 = 81

81/3 = 27

27/3 = 9

9/3 = 3

3/3 = 1

Therefore, the number 486 expressed as product of its prime factors is 486 = 2 × 3 × 3 × 3 × 3 × 3.

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Answer: 2025/352

Step-by-step explanation:

Formula : 30375 x 2 / 10560  

Simplified : 2025/352

Mixed number form: 5 265/352.

Hope this helped!

Answer:

Staсia walked a total of 5 miles and 3,975 feet

Step-by-step explanation:

If two miles is 10,560 feet, then one mile is half that:
10,560 / 2 = 5280 feet.

Let's see how many whole miles fit into 30,375 feet?
30,375 // 5,280 = 5 miles.

Now we calculate the remainder:
30,375 - 5,280 * 5 = 30,375 - 26,400 = 3,975 feet.

So Staсia walked a total of 5 miles and 3,975 feet.

Answer:

Pray to Jesus to get your answer

Answer:

32

Step-by-step explanation:

This is the step by step explanation

32×3=96

96÷4=24

The volume of a square based pyramid is 927.7 cubic centimeter.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, a square base pyramid with the side length of the base is 16.6 and the height of the pyramid is 10.1 m.

We know that, the volume of square based pyramid =a²h/3.

Here, volume = 16.6²×10.1/3

= 275.56×10.1/3

= 927.7 cubic centimeter

Therefore, the volume of a pyramid is 927.7 cubic centimeter.

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"Your question is incomplete, probably the complete question/missing part is:"

Find the volume of a pyramid with a square base, where the side length of the base is 16.6 and the height of the pyramid is 10.1 m. Round your answer to the nearest tenth of a cubic meter.

The first five terms of the given arithmetic sequence is; 36, 30, 24, 18, 12

The general formula for the nth term of an arithmetic sequence is;

aₙ = a + (n - 1)d

where;

a is first term

n is number of term

d is common difference

We are given;

First term; a₁ = 36

Formula for nth term of the sequence;

aₙ = aₙ₋₁ - 6

Thus;

Second term; a₂ = a₂₋₁ - 6

a₂ = a₁ - 6

a₂ = 36 - 6

a₂ = 30

Similarly;

Third term; a₃ = 30 - 6

a₃ = 24

Fourth term; a₄ = 24 - 6

a₄ = 18

Fifth term; a₅ = 18 - 6

a₅ = 12

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Tammy weekly pay as a baby sitter is 60 dollars.

The equation that can be used to find the weekly amount Tammy made baby sitting is  45 = 15 + 1 / 2x

Tammy receives a weekly pay from her job as a baby sitter. she spent half of this weeks pay at the bowling alley but earn an additional 15 dollars for walking the neighbours dog. She did not spend any additional money and finish the week with 45 dollars.

Tammy weekly pay as a baby sitter can be calculated as follows:

let

x = Tammy weekly pay as a baby sitter

She spent half of it on bowling alley = 1 / 2x

Therefore,

45 = 15 + 1 / 2x

45 - 15 = 1 / 2 x

30 = 1 / 2 x

cross multiply

x = 60 dollars

Therefore,

amount earned baby sitting = 60 dollars

The equation to find her weekly pay is 45 = 15 + 1 / 2x .

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Answer:

Here is the answer graphed: