A line passes through the points (3, 5) and (2, 0). What is the slope?

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

A number's  root is that factor of the number that, when multiplied by itself, yields the original number. Specifically, squares and square roots are exponents. Think of the number nine. This can be expressed as  or as 3 x 3.

Here,

If an equation have 2 roots , it means it is a quadratic function

If D=0, a quadratic function has two roots that are equal.

D (discriminant) = 0

=>b24ac=0 is required for a polynomial function to have equal roots.

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

To know more about square root , visit

brainly.com/question/29286039

#SPJ4

The area of the figure is: 22in².

Here, we have,

The given figure is a parallelogram.

we have,

a = 7in

b = 5 in

h = 5 in

so, area = b×h = 25 in²

now, the rectangle has: l = 3in and w = 1in

so, area = lw = 3 in²

so, the area of the figure is: 25 - 3 = 22in²

To learn more on Area click:

brainly.com/question/20693059

#SPJ1

Answer:

4

Step-by-step explanation:

Simplify the following:

2^5/2^3

Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to 2^5/2^3.

Combine powers. 2^5/2^3 = 2^(5 - 3):

2^(5 - 3)

Hint: | Subtract 3 from 5.

5 - 3 = 2:

2^2

Hint: | Evaluate 2^2.

2^2 = 4:

Answer: 4

Answer:

The y-coordinates in quadrant IV are negative. Because y represents profit, negative values of y signify not making a profit. That is, negative values signify loss. The points in quadrant IV represent the baseball team losing money.

Step-by-step explanation:

I took the assignment :).

In order to determine whether to use polynomial interpolation or the least squares method, it is important to consider the characteristics of the data being analyzed. Polynomial interpolation is best suited for data that is uniformly spaced and has little to no noise. On the other hand, the least squares method is more appropriate for data that has noise and does not follow a clear pattern.

Polynomial interpolation is a method of finding a polynomial function that passes through a set of given points. It involves fitting a polynomial of degree n to n+1 data points, which can result in overfitting the data. This means that the polynomial may not accurately represent the overall trend of the data and may not generalize well to new data.

The least squares method, on the other hand, involves finding the line or curve that best fits the data by minimizing the sum of the squared residuals between the predicted values and the actual data. This method is more flexible and can fit a wide range of functions to the data, making it more suitable for noisy or irregularly spaced data.

In summary, the choice between polynomial interpolation and the least squares method depends on the characteristics of the data. If the data is uniformly spaced and has little noise, polynomial interpolation may be appropriate. However, if the data has noise or does not follow a clear pattern, the least squares method may be more suitable. Ultimately, it is important to choose the method that best captures the overall trend of the data while minimizing the effects of noise and overfitting.

To know more about polynomial interpolation  visit:

https://brainly.com/question/30408879

#SPJ11

Answer:

54 sqrt Mr multiple question is whether you are a man or a boy are you ok

Step-by-step explanation:

y = 200  - 3 *x  has slope = -3   this is downward sloping from L to R

Answer:downward sloping

Step-by-step explanation:

negative slope

Answer:

X=2

Step-by-step explanation:

3x-12=-4x+2

7x-12=2

7x=14

x=2

we don't have enough information to determine the exact lengths of the streamers or the distance from the center of the floor to where the second streamer is attached.

Sure, I'd be happy to help! Based on the information you provided, we know that Belle is hanging two streamers of different lengths at the peak of the ceiling for her brother's surprise birthday party. The center of the floor is directly underneath the ceiling peak.

We also know that the distance along the floor from the center of the room to where the first streamer is attached is 6 feet.

Since the second streamer is attached to the floor further from the center of the floor than the first streamer, we can infer that the second streamer is longer than the first streamer.
I hope this helps! Let me know if you have any other questions.

To learn more about : lengths

https://brainly.com/question/28322552

#SPJ11

Step-by-step explanation:

To find the vector parametric equation for the parabola from the origin to a point P, we need to express the position vector of P as a function of a parameter. Let's assume the coordinates of P are (x, y).

(a) Vector Parametric Equation for the Parabola: We can represent the position vector of P as a linear combination of two vectors. The first vector will point from the origin to P, and the second vector will be perpendicular to it.

Let's consider the vector from the origin to P as OP. Since P lies on the parabola, the magnitude of OP is given by the equation y = x^2. Therefore, the magnitude of OP is √(x^2 + (x^2)^2) = √(x^2 + x^4).

The unit vector in the direction of OP can be found by dividing OP by its magnitude: u = OP / √(x^2 + x^4).

To find a perpendicular vector, we can take the cross product of u with the vector (0, 0, 1) (which is perpendicular to the xy-plane). This will give us a vector perpendicular to the plane containing the parabola.

Let's call the perpendicular vector v. The cross product of u and (0, 0, 1) is given by: v = u × (0, 0, 1).

Finally, the vector parametric equation for the parabola from the origin to P is given by: r(t) = tu + tv, where t is the parameter ranging from 0 to 1.

(b) Line Integral along the Parabola: To find the line integral of a vector field F along the parabola from the origin to P, we need to evaluate the line integral: ∫(F · dr) from 0 to 1, where F is the vector field, dr is the differential vector along the parabola, and the integral is taken with respect to t.

The line integral can be calculated as follows: ∫(F · dr) = ∫(F · (du/dt) dt), where du/dt is the derivative of the unit vector u with respect to t.

Substituting r(t) = tu + tv into the above expression, we can find the line integral.

Please provide the vector field F so that I can assist you further in evaluating the line integral.

The correct statement among the given options is A. "Research cannot use both qualitative and quantitative methods in a study."

This statement is not correct because research can indeed use both qualitative and quantitative methods in a study. Qualitative research focuses on collecting and analyzing non-numerical data such as observations, interviews, and textual analysis to understand phenomena in depth. On the other hand, quantitative research involves collecting and analyzing numerical data to derive statistical conclusions and make generalizations.

Many research studies employ a mixed methods approach, which combines both qualitative and quantitative methods, to provide a comprehensive understanding of the research topic. By using both qualitative and quantitative data, researchers can gather rich insights and statistical evidence, allowing for a more comprehensive analysis and interpretation of their findings.

Therefore, option A is the statement that is not correct concerning qualitative and quantitative research.

for such more question on qualitative

https://brainly.com/question/24565171

#SPJ8

A parallel line would contain the same slope and have a different y-intercept.

Using the slope of the original line you would start with:

Y = -5x + b, where b is the new y-intercept.

Using the given point replace x and y and solve for b:

-9 = -5(-4) + b

Simplify:

-9 = 20 + b

Subtract 20 from both sides

-29 = b

Now replace b in the equation to get:

Y = -5x -29

Answer:

x = 415

Step-by-step explanation:

(0.3x - 25) + (0.1x - 51) = 90°

0.3x - 25 + 0.1x - 51 = 90

0.4x - 76 = 90

        + 76   + 76

0.4x = 166

÷0.4    ÷0.4

x = 415

The equation is a right angle so it's equal to 90°

I hope this helps!

Answer:

Step-by-step explanation:

The probability of the spinner landing on blue is 1/4, since there are 4 equally likely outcomes.

The probability of rolling an even number on a fair 6-sided die is 3/6 or 1/2, since there are 3 even numbers (2, 4, 6) out of 6 possible outcomes.

To find the probability of both events happening together (landing on blue and rolling an even number), we multiply their probabilities:

P(blue and even) = P(blue) x P(even)

= 1/4 x 1/2

= 1/8

Therefore, the probability of the spinner landing on blue and rolling an even number is 1/8.

Answer:

The percent is 4.9471%

Step-by-step explanation:

Here, we want to find the percentage of observations that lie above z = 1.65

Firstly we find the probability of x < z = 1.65

Hence P ( x > 1.65)

This is obtainable from the standard normal distribution table

The value of P(x > 1.65) = 0.049471

This represents a percentage of 4.9471%

Answer:

4.95/4.9471 is correct

ED2021

The dot product of vectors v and w is 0. The angle between v and w is 90 degrees. The vectors v and w are orthogonal.

To find the dot product of two vectors, v and w, we multiply the corresponding components of the vectors and then sum them up. In this case, v = 7i + 5j and w = 5i - 7j. To calculate the dot product vw, we multiply the corresponding components:

vw = (7i)(5i) + (5j)(-7j) = 35i^2 - 35j^2

Since i^2 = j^2 = -1, the dot product simplifies to:

vw = 35(-1) - 35(-1) = -35 - (-35) = 0

Therefore, the dot product of v and w is 0.

To find the angle between v and w, we can use the formula:

cosθ = (v · w) / (|v| |w|)

where θ is the angle between the vectors, v · w is the dot product of v and w, and |v| and |w| are the magnitudes of v and w, respectively.

Since the dot product vw is 0 and both v and w have nonzero magnitudes, the numerator of the formula is 0. Therefore, cosθ = 0, which implies that θ is 90 degrees.

Hence, the angle between v and w is 90 degrees, indicating that the vectors are orthogonal.

In summary, the dot product of v and w is 0, the angle between v and w is 90 degrees, and the vectors v and w are orthogonal.

Learn more about orthogonal here

https://brainly.com/question/30772550

#SPJ11

Answer:

32

Step-by-step explanation:

got it right on edge

We will show this for a two-dimensional plane.

We will define two points P1, with coordinates (x1,y1) and P2, with coordinates (x2,y2).

The midpoint will be in the exact middle of the segment formed by this two points.

Its coordinates will be the average between the respective coordinates of the two points of the segment.

Let M=(xm,ym) be the midpoint, the coordinates are calculated as:

The length of the segment is equal to the distance between the two points. It is an scalar value and can be calculated as the square root of the square of the difference between each of the coordinates. It can be deduced from the Pythagorean theorem.

Let D be the length of the segment, it can be calculated as:

Answer:

n = - 6

Step-by-step explanation:

Given

- 6n - 5 = 31 ( add 5 to both sides )

- 6n = 36 ( divide both sides by - 6 )

n = - 6

Answer:

n= -6

Step-by-step explanation:

-6n=31+5

-6n=36

n=36÷-6

n= -6

Answer: 21n^4 -46n^3 -4n^2 +7n

Step-by-step explanation:

21n^4 +3n^3 +3n^2 -49n^3 -7n^2 +7n =

21n^4 -46n^3 -4n^2 +7n

Answer:

D

Step-by-step explanation:

if you have 37 and however many you eat you subtract from that 37 giving you R

Answer:

(3,-9)

Step-by-step explanation:

Xm = (-3+9)/2 = 6/2 = 3

Ym = (-3+(-15)/2 = (-3-15)/2 = -18/2 = -9

The general solution of the system of linear equations is:

w = 14t, x = -5t, y = 5t, z = t

Note that t can take any real value, so the solution represents an infinite number of solutions parameterized by t. Each value of t corresponds to a different solution of the system.

The given system of linear equations in reduced row echelon form can be written as:

x + 2y + 3z = 0

w + 4x + 6z = 0

y - 5z = 0

To find the general solution, we can express the variables in terms of a parameter.

Let's assign the parameter t to z. Then, we can express y and x in terms of t as follows:

y = 5t

x = -2y + 5z = -2(5t) + 5t = -5t

Finally, we can express w in terms of t:

w = -4x - 6z = -4(-5t) - 6t = 14t

Therefore, the general solution of the system of linear equations is:

w = 14t

x = -5t

y = 5t

z = t

Note that t can take any real value, so the solution represents an infinite number of solutions parameterized by t. Each value of t corresponds to a different solution of the system.

learn more about the general solution here:
https://brainly.com/question/31129559

#SPJ11

Answer: right angle triangle

Step-by-step explanation:

we only use Pythagorean theorem to find the length of the missing side of a right angle triangle only.

The scale of the drawing is 1 inch represents 30 feet. This can be found by setting up a proportion:

18 inches (length of stage in drawing) / x (length of stage in real life) = 2 inches (length in drawing) / 45 feet (length in real life)

Simplifying this proportion gives:

x = 18 × 45 / 2 = 405

Therefore, the length of the stage in real life is 405 feet. To find the scale, we can set up another proportion:

1 inch (length in drawing) / x (length in real life) = 2 inches (length in drawing) / 60 feet (length in real life)

Simplifying this proportion gives:

x = 1 × 60 / 2 = 30

Therefore, the scale of the drawing is 1 inch represents 30 feet.

To learn more about proportion here:

brainly.com/question/29765554#

#SPJ11

Answer:

Hexagons, Cross sections parallel to the base will be hexagons. It is also possible to take cross sections using planes that are neither parallel not perpendicular to the base

Answer:

The cross-section parallel to the base is a hexagon congruent to the hexagonal bases. The cross-section perpendicular to the base is a rectangle. The cross-section parallel to the base is a pentagon similar to the pentagonal base. The solid is a cylinder.

The velocity of the car is 80m/s

v= u + at²

The parameters given are:

velocity= ?

initial velocity(u)= 0

acceleration(a)= 5

time(t)= 4

The velocity can be calculated as follows

v= 0 + 5(4²)

v= 0 + 5(16)

v= 0 + 80

v = 80

Hence the velocity of the car is 80m/s

Read more on velocity here

https://brainly.com/question/29086898

#SPJ1

Answer:

408in²

Step-by-step explanation:

Hello!

We can see that there are two sides with the side lengths 4in and 0.5ft(6 in), two sides with side lengths 4in and 1.5ft(18in), and two sides with side lengths 0.5ft(6in) and 1.5ft(18in). Multiply and add to find the Surface area (Area of all six faces)

Find the Surface Area:

The surface area is 408in²