factor of x² +46x +45 is?

i need solution please​

Answer:

\(y = \frac{-3}{4}x + 36\)

Step-by-step explanation:

Data provided in the question

Height = 36 inches

Stant of the stairs followed that declines 9 inches for every 12 horizontal inches

Height = x

x =  from top of the stairs

based on the above information

Therefore the change in rate is

\(\frac{-9}{12} = \frac{-3}{4}\)

It depicts the line sloping.

Now the function would be determined by the line equation which is as follows

y = mx+c

\(m = \frac{-3}{4}\)

where,

c = 36 inches

So, the function is

\(y = \frac{-3}{4}x + 36\)

Answer:

Answer is A

Step-by-step explanation:

The critical numbers of g(θ) on the interval 0 ≤ θ < 2π are:  θ = π/3, 2π/3, 4π/3, 5π/3, 7π/3, 8π/3, 10π/3, and 11π/3.

To find the critical numbers of g(θ) = 4θ - tan(θ) on the interval 0 ≤ θ < 2π, we need to find the values of θ where the derivative of g(θ) is equal to 0 or undefined.

First, we find the derivative of g(θ) using the chain rule and quotient rule:

g'(θ) = 4 - sec²(θ)

To find where g'(θ) is equal to 0, we set the derivative equal to 0 and solve for θ:

4 - sec²(θ) = 0

sec²(θ) = 4

Taking the square root of both sides, we get:

sec(θ) = ±2

Since sec(θ) = 1/cos(θ), we can rewrite this as:

cos(θ) = ±1/2

We know that on the interval 0 ≤ θ < 2π, the cosine function is positive in the first and fourth quadrants and negative in the second and third quadrants.

Therefore, we need to find the values of θ in the first and fourth quadrants where cos(θ) = 1/2, and the values of θ in the second and third quadrants where cos(θ) = -1/2.

For cos(θ) = 1/2, we have:

θ = π/3 or 5π/3 in the first quadrant
θ = 7π/3 or 11π/3 in the fourth quadrant

For cos(θ) = -1/2, we have:

θ = 2π/3 or 4π/3 in the second quadrant
θ = 8π/3 or 10π/3 in the third quadrant

Therefore, the critical numbers of g(θ) on the interval 0 ≤ θ < 2π are:

θ = π/3, 2π/3, 4π/3, 5π/3, 7π/3, 8π/3, 10π/3, and 11π/3.

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The given equation of the line is:

It is required to find the x-intercept and the y-intercept.

To find the x-intercept, substitute y=0 into the equation and find x:

Hence, the x-intercept is -4.

To find the y-intercept, substitute x=0 into the equation and find y:

The y-intercept is -7.

Answers:

x-intercept: -4

y-intercepe: -7

Answer:12.405 would be correct

Step-by-step explanation:

In probability theory and statistics, variance is the squared deviation from the mean of a random variable. The variance is also often defined as the square of the standard deviation. Variance is a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value

The variance is a measure of variability

Therefore c is your answer!

Answer:

both or neither as they are the same distance to rescue her

total distance is her 13 plus 12 headed west and 5 headed south so 30

Step-by-step explanation:

The angle β, given the terminal point(sqrt(2)/2, sqrt(2)/2) on a unit circle, is equal to π/4 radians or 45 degrees.

To determine the angle β given the terminal point on a unit circle, we can use the trigonometric functions sine and cosine.

The terminal point of β is (sqrt(2)/2, sqrt(2)/2). Let's denote the angle β as the angle formed between the positive x-axis and the line connecting the origin to the terminal point.

The x-coordinate of the terminal point is cos(β), and the y-coordinate is sin(β). Since the terminal point issqrt(2)/2, sqrt(2)/2). we have:

cos(β) = sqrt(2)/2

cos(β) = sqrt(2)/2

We can recognize that sqrt(2)/2 is the value of the cosine and sine functions at π/4 (45 degrees) on the unit circle. In other words, β is equal to π/4 radians or 45 degrees.

So, β = π/4 or β = 45 degrees.

In summary, the angle β, given the terminal point (sqrt(2)/2, sqrt(2)/2) on a unit circle, is equal to π/4 radians or 45 degrees.

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Given statement solution is :- The function or not correct response would be:

C. No, because it fails the vertical line test.

The vertical line test checks whether there are any vertical lines that intersect the graph at more than one point.

To determine whether the given graph represents a function or not, we need to understand the concept of a function and apply the vertical line test.

A function is a relation between a set of inputs (the domain) and a set of outputs (the range) where each input is associated with exactly one output. In other words, for every input, there can only be one corresponding output.

The vertical line test is a method used to determine whether a graph represents a function or not. According to the vertical line test, if any vertical line intersects the graph at more than one point, then the graph does not represent a function. On the other hand, if every vertical line intersects the graph at most once, then the graph represents a function.

Based on the information provided in the question, we cannot conclusively determine whether the graph represents a function or not. The options provided are insufficient to make a determination. However, the correct response would be:

C. No, because it fails the vertical line test.

The vertical line test checks whether there are any vertical lines that intersect the graph at more than one point. If the graph fails this test, it means that there exists an input value (x-coordinate) that corresponds to multiple output values (y-coordinate), violating the definition of a function.

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The equation of the line passing through M and perpendicular to PR would be y = -x + 6.

What is the equation of the line?

An equation of a line is a mathematical expression that describes the relationship between the variables x and y that defines the position of a point on the line. There are several ways to write the equation of a line, including slope-intercept form (y = mx + b), point-slope form (y - y1 = m(x - x1)), and standard form (ax + by = c).

The midpoint of a line segment is the point that is exactly halfway between the two endpoints of the line. To find the midpoint of a line segment, you need to take the average of the x-coordinates and the y-coordinates of the two endpoints.

Given the line segment Q(-6, 2) and R(10, 6), the midpoint is:

((-6+10)/2 , (2+6)/2) = (2,4)

So the midpoint of the line segment Q(-6, 2) and R(10, 6) is (2,4).

Now find the slope of PR = 6-(-4)/10 = 10/10=1

Hence, the slope of the line passing through M and perpendicular to PR would be = -1.

Now we can form the equation of the line:

y - 4 = -1(x - 2)

y - 4 = -x + 2

y = -x + 6

Hence, the equation of the line passing through M and perpendicular to PR would be y = -x + 6.

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red: y = 4.

black: y = -2x + 4.

blue: x = -4.

green: y = x - 1.

The first polygon is a Rhombus.

The second polygon is a Square.

Given 2 polygons with 4 sides, so they are quadrilaterals.

We have to name the polygon based on the given properties.

Consider the first polygon.

Here it is given that, the diagonals of the quadrilateral bisects the angles. The figure seems like either a rhombus or parallelogram.

This seems more like a rhombus since the diagonals bisect the angles.

For a parallelogram, it is not always required for the diagonals to bisect the angles.

Consider the second polygon.

Here the diagonals are of equal length.

Also the diagonals forms right angles with each other.

The diagonals are equal for square.

So this is a square.

Hence the first on is a rhombus and the second one is a square.

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This will be in the following order when writing it on the number line:-1.25, -0.75, 0.25, 1.5, 2.

As a fraction or a portion of a full number, a number can be stated rationally. (Samples: -7, 2/3, 3.75 A number that cannot be stated as a fraction or ratio of two integers is said to be irrational.

calculation

The numbers on the number line must be put in ascending sequence in order for the arrangement to be correct.

6/3 = 2

-3/4 = -0.75

1.5 = 1.5

0.25 = 0.25

-5.4 = -1.25

In ascending order, the numbers will be written as follows:

-1.25 = -5/4

-0.75 = -3/4

0.25

1.5

2 = 6/3

This will be in the following order when writing it on the number line:

-1.25, -0.75, 0.25, 1.5, 2

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Answer:

Step-by-step explanation:

A product is formed by multiplying the factors. Here, you want the product of -2 and x, so that is indicated as ...

  -2x

You want that product greater than 30. The symbol for "greater than" is >, so you have ...

  -2x > 30 . . . . the desired inequality

__

The most straightforward way to solve this is to divide by the coefficient of x. Because that is negative, you must reverse the inequality symbol from "greater than" to "less than."

  x < 30/(-2)

  x < -15 . . . . . . the desired solution

_____

Additional comment

It may not be clear why multiplying or dividing an inequality causes the symbol to be reversed. You can think of it as reflecting the inequality over the point x=0 on the number line. Where larger numbers were on the right, they get reflected to points farther left, so as negative numbers, they are smaller numbers.

Consider ...

  1 < 2

  -1 > -2

Answer:

3

Step-by-step explanation:

AC=BD

12x+2=8x+14

12x-8x=14-2

4x=12

x=3.

The length of the side AC of the rectangle is AC = 50 units

The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.

Perimeter P of rectangle = 2 ( Length + Width )

Given data ,

Let the perimeter of the rectangle be P

Let the rectangle be represented as ABCD

Now , AC=12x+2 and BD = 8x + 14

On simplifying , we get

AC = BD

12x + 2 = 8x + 14

Subtracting 8x on both sides , we get

4x + 2 = 14

Subtracting 2 on both sides , we get

3x = 12

Divide by 3 on both sides , we get

x = 4

So , the length AC = 12 ( 4 ) + 2

AC = 50 units

Hence , the length of rectangle is AC = 50 units

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By calculating the given expression , we get 5 as a final resultant.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers the use of letters or alphabets without specifying their real values. The basics of algebra taught us the way to express an unknown fee the use of letters consisting of x, y, z, and so on. those letters are known as here as variables. An algebraic expression can be a aggregate of both variables and constants. Any fee that is placed earlier than and improved with the aid of a variable is a coefficient.

Given expression ,

32- (3^2 -1 ) + 20 / 2

So by using the BODMAS rule ,

32 - (3*3  -  1 ) + 20 / 2

23 - (9 - 1 ) + 10

23 - (8) + 10

23 - 18

23 - 18

= 5

Hence, By calculating the given expression , we get 5 as a final resultant.

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The base case for the given pseudocode algorithm is 150. A base case is an initial and simplest case in an algorithm that does not necessitate further recursion.

It is the condition that aids in the determination of the smallest size of a problem that can be solved without recursion. A base case is a unique and basic condition that is considered to be true in a specific algorithm. A recursive algorithm cannot be used if there is no base case.

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Answer:

x = 52

Step-by-step explanation:

You are given ratios, and the 1st ratio is being multiplied by 4 to get the second ratio. How did I find this? Divide 48 by 12 and you get 4. To find x, simply multiply 13 by 4 and you should get 52

Answer:

\(12\)

Step-by-step explanation:

\(\sqrt{12} \times\sqrt{12}\)

\(\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a,\:\quad \:a\ge 0\)

\(\sqrt{12}\sqrt{12}=12\)

\(=12\)

The value of \(\sqrt{12} * \sqrt{12}\) is equal to 12

To solve this problem, we have to convert the surds to radicals and then use the law of indices on this.

\(\sqrt{12} * \sqrt{12}= 12^\frac{1}{2} * 12^\frac{1}{2}\)

This law is given as

\(a^m+a^n = a^(^m^+^n^)\)

let's substitute the values in this question.

\(12^\frac{1}{2}*12^\frac{1}{2}\)

Let's apply the law and solve the radical

\(12^\frac{1}{2}*12^\frac{1}{2} = 12^(^\frac{1}{2}^+^\frac{1}{2}^)\\\)

Solve the fractions

\(\frac{1}{2}+\frac{1}{2}=1\)

substitute the values and solve

\(12^\frac{1}{1}=12\)

from the calculations above, the value of the radical is 12.

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Answer:

(7−2)(3)(24−11)

=(5)(3)(24−11)

=15(24−11)

=(15)(13)

=195

Step-by-step explanation:

Answer:

y=28

Step-by-step explanation:

4y=180-34-34

4y=180-68

4y=112

y=28

Answer:

y=28

Step-by-step explanation:

34 is equal to (x-5). multiply 34 times 2, and it equals 68. all of the sides equal 180, therefore meaning 4y equals 112. divide by 4 and get 28.

Answer:

\(\frac{2^{2} }{1}\)

Step-by-step explanation:

\(\frac{2x^{3} }{x^{5} }\)

2/1 = 2 and 3-5 = -2, so

\(2^{-2}\)

You cannot have a negative exponent, so you must put it over one.

\(\frac{2^{2} }{1}\)

Answer: m = -1

Step-by-step explanation:

m = slope

The slope is 1/-1 which is just -1.

Hope this helps!

D u(En F)= {h, m, u, b, l, e, a, r}

The given sets are:

U= {a, b, c, d ,...,x,y,z}

D = {h, u, m; b, l, e}

E = {h; a; m, p; e; r}

F = {t, r, a, s, h}

To find Du(En F), we need to apply the following set theory formula:

Du (En F) = (Du En) U (Du F')

Here, En and F' are the complement of F with respect to U and D, respectively.

So, let's first find En:En = U ∩ E = {a, h, m, e, r}

Now, let's find F':F' = D - F = {u, m, b, l, e}Du = {h, u, m, b, l, e}

Using the formula, we get:

D u(En F) = (Du En) U (Du F')

= ({h, m, u, b, l, e} ∩ {a, h, m, e, r}) U ({h, u, m, b, l, e} ∩ {u, m, b, l, e})

= {h, m, u, b, l, e, a, r}

Answer: {h, m, u, b, l, e, a, r}

Answer:

100 im pretty sure because 10 x 10 = 100

A fraction that is sometimes used to approximate pi is 22/7.

One example of a fraction that is sometimes used to approximate pi is 22/7. This fraction is an approximation of pi that has been used for centuries, even though it is not an exact value of pi.

It is a good approximation that is accurate to within about 0.04%, which makes it useful in many practical applications.

The fraction 22/7 comes from dividing the circumference of a circle by its diameter, which is the definition of pi. While the exact value of pi is an irrational number that cannot be expressed as a fraction, 22/7 is a commonly used approximation that is easy to remember and calculate with. However,

there are more accurate approximations of pi that can be used for more precise calculations, such as 355/113 or 3.14159265359.

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Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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The value of c so that cx-d=2x+4 has No Solution is c=2.

In the given question ,

we have

cx-d=2x+4       ....(i)

Given that d = 2 ,

We substitute the value of d=2 in equation (i)

On substituting we get

cx-2=2x+4

Simplifying further we get

cx=2x+4+2

cx=2x+6

cx-2x=6

x(c-2)=6

x=6/(c-2)

For x to have NO SOLUTION the denominator should be 0.

because when denominator becomes 0 the value becomes not defined , hence will have no solution.

Substituting the denominator = 0

we get c-2=0

c=2.

Therefore , the value of c so that cx-d=2x+4 has No Solution is c=2.

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Answer:

One pound cost $0.59

Step-by-step explanation:

or k = $0.59 I think

Answer:

Step-by-step explanation:

You need to set up a proportion

Let x = NK

7/13 = x/56    Notice that the longest side of the small trapezoid is the denominator of the fraction  on the left. That means that the longest side of the large trapezoid must also be the denominator of that fraction on the right.

Cross multiply

13x = 7*56                Combine the right

13x = 392                 Divide by 13

x = 392/13

x = 30.15

NK = 30.15

Answer:

30.2

Step-by-step explanation:

IJ is proportional to MN, which would give us 13/56. Next, JG is proportional to NK, which would give us 7/x. So, 13/56 = 7/x, 13x = 392, x = 30.15, which rounds to 30.2