what is the slope of the line graph below

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

The measure of the angles e, d, a, and f will be 26°, 122°, 102°, and 58°, respectively.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

By the supplementary property, the equation is given as,

f + 78° + 44° = 180°

f = 58°

By the complementary property, the equation is given as,

e + 64° = 90°

e = 26°

By the corresponding angles property, the equation is given as,

c = f

c = 58°

By the supplementary property, the equation is given as,

c + d = 180°

58° + d = 180°

d = 122°

By the corresponding angles property, the equation is given as,

b = 78°

By the supplementary property, the equation is given as,

a + b = 180°

a + 78° = 180°

a = 102°

The diagram is given below.

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Answer:

try ( -4,1)

Step-by-step explanation:

if not then i'm sorry

Answer:

the cross is the blue color

Answer:

Slope=1/2

Step-by-step explanation:

Rise over run between the two points is up 1 and 2 to the right and since this is a straight line, the slope of 1/2 will always be constant.

Answer:

Hope this helps

Step-by-step explanation:

-16 - (-16) cab also be written as -16 + 16 which is 0. Iris was not correct because she didn't realize that the first 16 was negative.

The required general solution of the differential equation y" - 2y – 3y = e^(-t) + 1 is given by the expression,

y = A e^(3t) + B e^(-t) + C t e^(-t) + Ate^(-t) + B

We are required to find the general solution of the differential equation y" - 2y – 3y = e^(-t) + 1 using the Annihilator Method.

The given differential equation is, y" - 2y – 3y = e^(-t) + 1

The characteristic equation of the given differential equation is, r² - 2r - 3 = 0(r - 3)(r + 1) = 0r₁ = 3 and r₂ = -1

Now, we will consider the following cases:

Case I: When the right-hand side has a term of the form f(t) = e^(rt), then we take the annihilator as (D - r).

∴ The annihilator for e^(-t) is (D + 1).

Case II: When the right-hand side has a constant term, then we take the annihilator as D.

∴ The annihilator for 1 is D⁰.

Now, we will write the annihilators for the given differential equation. The annihilator for y" is (D - 3)(D + 1)

The annihilator for 2y is 2D⁰

The annihilator for 3y is 3D⁰

The annihilator for e^(-t) is (D + 1)

The annihilator for 1 is D⁰

Using the Annihilator Method, we have, (D - 3)(D + 1)(D + 1) [y"] + 2 [D⁰] y - 3 [D⁰] y = 0(D - 3)(D + 1) [D + 1] y" + 2 y = 3 y - e^(-t)

Now, we will solve the homogeneous equation, (D - 3)(D + 1) [D + 1] y" + 2 y = 3 y(D - 3)(D + 1) (r - 3) (r + 1) (r + 1) yh = A e^(3t) + B e^(-t) + C t e^(-t)

Now, we will find the particular integral, yₚ, for e^(-t) + 1. The particular integral for e^(-t) is, yp₁ = Ate^(-t)

And, the particular integral for 1 is, yp₂ = B

Therefore, the particular integral yₚ = yp₁ + yp₂ = Ate^(-t) + B

The general solution of the given differential equation is, y = yh + yₚ = A e^(3t) + B e^(-t) + C t e^(-t) + Ate^(-t) + B

Therefore, the required general solution of the differential equation y" - 2y – 3y = e^(-t) + 1 is given by the expression, y = A e^(3t) + B e^(-t) + C t e^(-t) + Ate^(-t) + B

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Answer:

3

Step-by-step explanation:

The absolute value of x=5 is 5.

The absolute value of a number is its positive equivalent of the number

For instance, the absolute value of -5 is 5 and the absolute value of 5 is also 5.

Generally, it is denoted by the symbol |x|.

So, we have

The absolute value of x=5

This gives

x = |5|

Evaluate

x = 5

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The exclamation point in the middle of a yellow triangle is a warning icon that may be seen on a variety of gadgets and software, including Windows PCs and Android smartphones.

It often serves as a signal for a problem or issue that needs addressing. Depending on the context in which it occurs, a symbol's precise meaning may change.

On a Windows computer, for instance, it can mean that a device driver needs to be updated, but on an Android phone, it might mean that a system update or an app has a bug that needs to be fixed.

Investigate the origin of the alert and take the necessary steps to resolve any problems that could be impacting your system or device.

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Answer:

yes I know is that possible

Answer

sure

Step-by-step explanation:

The equations that are true are:

B. -4 + 9 = 5

C. 3 - (-10) = -7

Explanation:

- A. 7 + (-7) = 0, not 14.

Therefore, it is not true.

- B. -4 + 9 = 5.

This equation is true since -4 plus 9 does equal 5.

- C. 3 - (-10) = -7.

This equation is true since subtracting a negative number is equivalent to adding the positive counterpart. Therefore, 3 - (-10) is equivalent to 3 + 10, which equals 13.

However, the equation states that the result is -7, which is not true.

- D. -2 - 6 = -8.

This equation is not true since -2 minus 6 equals -8, not -2.

Therefore, the correct options are B. -4 + 9 = 5 and C. 3 - (-10) = -7.

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Step-by-step explanation:

Area of square = Length x Length =

\( {length}^{2} \)

Given Area of square =

\(256 {ft}^{2} \)

\( {length}^{2} = 256 \\ length = \sqrt{256} \\ = 16ft\)

Answer:

53

Step-by-step explanation:

The pattern is +13.

Hope this helps!

Answer:

4 and 3

4 and 5

4 and 6

3 and -8

-4 and -21

4 and 36

4 and -7

Step-by-step explanation:

1)

4 + 3 = 7

4 × 3 = 12

2)

4 + 5 = 9

4 × 5 = 20

3)

4 + 6 =10

4 × 6 = 24

4)

3 - 8 = -5

3 × (-8) = -24

5)

-4 - 21 = -25

-4 × (-21) = 84

6)

4 + 36 = 40

4 × 36 = 144

7)

4 - 7 = -3

4 × (-7) = -28

Answer:

5(3x + 4y)

= (5×3x) (5×4y)

=15x + 20y

Step-by-step explanation:

Simplify by expanding

I'm not sure if this is the answer you want but I hope it helps

The sine function for the temperature is given as follows:

y = 7sin(π/12(x - 14)) + 59.

The standard definition of the sine function is given as follows:

y = Asin(B(x - C)) + D.

For which the parameters are given as follows:

The function oscillates between 52 and 66, for a difference of 14, hence the amplitude is given as follows:

2A = 14

A = 7.

The function oscillates between -A + 59 and A + 59, hence the vertical shift is given as follows:

D = 59.

The period is of 39 - 15 = 24 units, hence the coefficient B is given as follows:

2π/B = 24

B = π/12.

The function is at it's midline after 14 hours, hence the phase shift is given as follows:

C = 14.

Thus the function is given as follows:

y = 7sin(π/12(x - 14)) + 59.

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Answer:

54

Step-by-step explanation:

31 cheese pizza+23hawaiian pizzas=54 pizza in all

Answer:3

Step-by-step explanation:

Answer:

\(P(Win) = 0.30\)

Step-by-step explanation:

Given

\(P(Win) = 0.30\)

\(P(Lose) = 0.55\)

Required

\(P(Win)\)

This is already stated in the question as:

\(P(Win) = 0.30\)

The ship is approximately 14.879 miles away from the port, and its bearing from the port is approximately 26.35°.

To find the exact values of the ship's distance from the port and its bearing from the port, we can perform the necessary calculations.

Ship's movement on a bearing of 34.0°:

Horizontal component = 13.5 mi * cos(34.0°) ≈ 11.1764 mi

Vertical component = 13.5 mi * sin(34.0°) ≈ 7.3564 mi

Ship's movement due east:

Horizontal component = 3.7 mi

Vertical component = 0

Vector addition:

Horizontal displacement = 11.1764 mi + 3.7 mi ≈ 14.8764 mi

Vertical displacement = 7.3564 mi + 0 ≈ 7.3564 mi

Distance from the port:

Distance = √(Horizontal displacement² + Vertical displacement²)

= √(14.8764 mi² + 7.3564 mi²)

≈ √(221.142 m²)

≈ 14.879 mi

Bearing from the port:

Bearing = arctan(Vertical displacement / Horizontal displacement)

= arctan(7.3564 mi / 14.8764 mi)

≈ 0.4601 rad (in radians)

≈ 26.35° (in degrees)

The ship is approximately 14.879 miles away from the port. The ship's bearing from the port is approximately 26.35°.

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--The given question is incomplete, the complete question is given below " Aship leaves port on a bearing of 34.0° and travels 13.5 mi. The ship then turns due east and travels 3.7 mi. How tar is the ship from port, and what is its bearing from port?"--

Answer:

i can't see the question enough or the answer choices

Step-by-step explanation:

make a new question or put in the comments

Answer:

Not sure if it helps, But anyways heres what i got!! Lol

Step-by-step explanation:

On a map, you trace your route and come to a fork in the road. Two diverging roads split from a common point and form an angle. The point at which the roads diverge is the vertex. An angle separates the area around it, known in geometry as a plane, into two regions. The points inside the angle lie in the interior region of the angle, and the points outside the angle lie in the exterior region of the angle.

Once you get to know the types of angles and how to measure and create your own, you’ll have picked up valuable geometry skills that will help you prove even the most complex geometric puzzles.

Answer: -1 + 3x/5

Step by step explanation:

Let's assume the sum of the scores of the 28 students who took the test yesterday is 28 * 72 = 2016.

We know that the sum of the scores of all 30 students is (28 * 72) + x + y, where x and y are the scores of the two students who took the test this morning.

We also know that the mean of all 30 scores is 73. So we can write an equation:

[(28 * 72) + x + y]/30 = 73

Multiplying both sides by 30, we get:

2016 + x + y = 2190

So, x + y = 174.

We are given that the difference of the two scores is 22, so we can write another equation:

y - x = 22

Solving these two equations simultaneously, we get y = 98 and x = 76.

Therefore, the lower score from this morning is 76.

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Alan drive if he uses 4 gallons of gas is 75 miles distance

The following function calculates the distance (in miles) he travels on gallons of gas. D(g)=25g

Where D(g) is the distance traveled in gallons.

and g denoted the quantity of gasoline used

We are asked to calculate the distance traveled in three gallons of gasoline. To do this, we will set the value of g to 3 in our function.

D(3)=25 x 3 = 75

As a result, Chris's automobile traveled 75 miles on three gallons of petrol.

The length of the line segment connecting two places, for example, is the distance between them. a two-dimensional plane, which may also be  in a three-dimensional plane. In coordinate geometry, there are several forms of distance formulae.

Distance between two locations in a two-dimensional plane

Distance between two locations in a three-dimensional plane

Distance in 2D from a point to a line

2D distance between two parallel lines

3D distance from a point to a line

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Answer: \(y=-\frac{1}{4} x-2\)

Step-by-step explanation:

Perpendicular lines have different slopes. There are 2 things we have to do to them.

1. reciprocal

2. change sign

Based on the equation, our slope is 4, so let's apply the 2 rules.

1. \(\frac{1}{4}\)

2. \(-\frac{1}{4}\)

With the slope, we can plug in our point.

\(y=-\frac{1}{4} x+b\)                [plug in x and y]

\(2=-\frac{1}{4} (-16)+b\)         [multiply]

\(2=4+b\)                      [subtract both sides by 4]

\(b=-2\)

Our final equation would be \(y=-\frac{1}{4} x-2\).

The correlation analysis helps to identify and develop

a) k means clustering

K-Means Clustering is the unsupervised learning algorithm that is used to solve the clustering problems in machine learning, artificial intelligence or data science.

It allows us to cluster the data into the different groups and a convenient way to discover the categories of the groups in the unlabeled dataset on its own without the need for any training.

It  groups the unlabeled dataset into different clusters. Here K defines the number of the pre-defined clusters that need to be created in the process, as if K=2, there will be two clusters, and for K=3, there will be three clusters, and so on.

Hence, the correct option is a) k means clustering

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Answer:

Its 0.0013013154

Step-by-step explanation:

The interest on a savings or loan at a particular rate for a period of time is calculated as

The relationship of the graph g(x) = (x − 2)³ + 6 compare to the parent function of f(x) = x³ is that g(x) is shifted 2 units to the right and 6 units up.

Translations are a transformation technique that changes the position of an object from one point on the plane to another.

Given is a function, g(x) = (x − 2)³ + 6, we need to compare the graph of g(x) = (x + 2)³ - 6 to the parent function of f(x) = x³

The function compared to f(x) = x³, shows a translation of f(x) by 2 unit to the right along the horizontal and vertical translation of the function 6 units up

Hence, the relationship of the graph g(x) = (x − 2)³ + 6 compare to the parent function of f(x) = x³ is that g(x) is shifted 2 units to the right and 6 units up.

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The position of the mass in the undamped spring-mass system can be represented by the equation u(t) = (A cos(ωt) + B sin(ωt)) / k. Therefore, position of the mass at any time t in feet is given by u(t) = 4.5 cos(4t).

In this case, the external force acting on the system is 108 cos(4t) lb. To determine the position of the mass, we need to solve the differential equation that represents the motion of the system.

Using Newton's second law, F = ma, and considering that the mass m = 24 lb, the equation becomes:

24 * d^2u/dt^2 = 108 cos(4t)

Simplifying, we have:

d^2u/dt^2 = 4.5 cos(4t)

This is a second-order linear homogeneous differential equation with a constant coefficient. The solution to this equation will be a linear combination of the homogeneous and particular solutions.

The homogeneous solution, representing the free oscillation of the system, is u_h(t) = C1 cos(2t) + C2 sin(2t).

The particular solution, representing the forced motion caused by the external force, can be assumed in the form u_p(t) = A cos(4t) + B sin(4t).

By substituting u_p(t) into the differential equation, we can determine the values of A and B.

Solving the differential equation for the particular solution, we find:

A = 18 and B = 0

The complete solution for the position of the mass in feet is:

u(t) = (18 cos(4t)) / 4

Simplifying further, we get:

u(t) = 4.5 cos(4t)

Therefore, the position of the mass at any time t in feet is given by u(t) = 4.5 cos(4t).

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