Write an equation of the line that passes through point (6, 1) and has the slope m = -3.
y
4

A plan with sufficient specifics to carry out a task or goal is called an action plan.

An action plan is a document used in project management that outlines the activities to take in order to accomplish the project's goals and objectives. Therefore, an action plan specifies the resources you'll need to achieve those goals, creates a timeframe for the tasks or action items, and establishes the team members you'll need to complete it all.

An action plan is a detailed checklist of the steps and materials required to finish a project or reach a goal. It can be viewed as a visual countdown to project completion or a list of tasks necessary to produce desired results.

A plan with sufficient specifics to accomplish a task or goal is called an action plan.

To learn more about action plan refer to:

https://brainly.com/question/1647350

#SPJ1

Answer: u=1

Step-by-step explanation: add 36 to both sides to get -6u=-6 then divide both sides by -6 to get u=1

Answer:

15c = m

Step-by-step explanation:

for every car she washes she learns 15 dollars. So you would multiply the number of cars she washes by 15 to get the amount she earns

Answer: (hopefully I didn't make a mistake :D )

y=-3+21

Step-by-step explanation: (I can't sketch the graph for you)

First you need to find the slope of the line passing through the points (5,4) and (-7,0). This can be done using the point-slope form of a line.

Point 1: (-7,0)

Point 2: (5,4)

y2-y1=m(x2-x1)

m= (y2-y1)/(x2-x1) = (4-0)/(5-(-7)) = 4/12= 1/3

Now, when two lines are perpendicular, they are negative recopricols. So the slope of the line would be -3.

Since the equation of the line you are trying to find passes through the point (4,9), using point-slope formula again and solve for y.

y-9=-3(x-4)    

y= -3x+12+9

y=-3x+21

Answer:

2 walks is $9.00 so first i would find the unit rate

Step-by-step explanation: To find the unit rate you would have to get 2 to 1 which means we would have to divide it by 2. 2 / 1 is 1 then we also have to divide 9 by 2 which would get you 4.5. Now you know that 1 walk is $4.50 , but you need to know how much it coust for 5 so you multiply by 5.         $4.50 x 5 = $22.50

a. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis. b. the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

a) Rachel's budget line equation can be written as follows:

Budget = (Price of Hamburger * Quantity of Hamburgers) + (Price of Figs * Quantity of Figs)

Since the price per hamburger is $3 and the price per bag of figs is $2, the equation becomes:

Budget = 3x + 2y

Where x represents the quantity of hamburgers and y represents the quantity of bags of figs. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis.

b) If the price of figs increases to $3, the new budget line equation becomes:

Budget = 3x + 3y

The graph of the new budget line would show a steeper slope compared to the original budget line. This indicates that the relative price of figs has increased, making them relatively more expensive compared to hamburgers.

c) In this scenario, Rachel has an income of $50, the price per hamburger is $3, the price per bag of figs is $3, and she receives an additional $10 in cash from a friend. The new budget line equation can be written as:

Budget = (3x + 3y) + 10

The graph of the new budget line would shift upward parallel to the original budget line. The additional cash from Rachel's friend increases her purchasing power, allowing her to afford more hamburgers and/or bags of figs.

d) Now, Rachel's friend gives her a gift basket containing 3 free bags of figs. In this case, the budget line equation remains the same as in part c:

Budget = (3x + 3y) + 10

However, since Rachel receives 3 free bags of figs, she can allocate more of her budget towards purchasing hamburgers. This would cause the budget line to rotate outward from the y-intercept, resulting in a flatter slope. The new budget line would reflect Rachel's ability to purchase more hamburgers with the same income and price of figs.

In summary, the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

Learn more about budget here

https://brainly.com/question/29028797

#SPJ11

Answer:

p = 19 ft

hope it's helpful

Hey there! I'm happy to help!

This glass is most likely a cylinder. To find the volume of a cylinder you take the area of the circle base and multiply it by the height.

To find the area of a circle, you square the radius and multiply it by pi (we will use 3.14 for pi).

Our radius is 3cm.

3

We square it.

3²=9

Multiply by 3.14.

9×3.14=28.26

Now that we have our circle base area, we multiply it by the height (7 cm).

28.26×7= 197.82

This is how many cubic centimeters the glass can hold if it is completely full. However, we want half full, so we can just divide by 2.

197.82/2=98.91

We can also multiply our circle base by 3.5, which will give us half of the full height.

So, the height of the water is 3.5 cm and the volume of the water is 98.1 cm³.

Have a wonderful day and keep on learning! :D

Answer:

10 kilometer/hour

Step-by-step explanation:

Average speed = Total distance travelled / Total time taken

Ardi:

Total distance travelled = 70 km

Total time taken = 35 minutes = 35/60 hour

Average speed = Total distance travelled / Total time taken

= 70 km ÷ 35/60 hr

= 70 × 60/35

= 4,200/35

= 120 kilometer/hour

Lei:

Total distance travelled = 585 km Total time taken = 9:05 - 13:35 = 4 hours 30 minutes

= 4.5 hours

Average speed = Total distance travelled / Total time taken

= 585 km / 4.5 hours

= 130 kilometer/hour

Difference, in km/h, between the average speed of their trains = Lei's train - Ardi's train

= 130 kilometer/hour - 120 kilometer/hour

= 10 kilometer/hour

Answer:

Image attached

Step-by-step explanation:

Hope it helps!!!!

Answer:

Scale factor = \(\frac{1}{2}\)

Step-by-step explanation:

Perimeter of the actual flag = 22 in.

Perimeter of the scale drawing of the flag = 11 in.

Since, perimeter of a triangle = Sum of all three sides of the given triangle

Therefore, scale factor of the drawing

= \(\frac{\text{Measure of the side of drawing}}{\text{Measure of the side of actual}}\) = \(\frac{\text{Perimeter of drawing}}{\text{Perimeter of actual}}\)

= \(\frac{11}{22}\)

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

Therefore, scale factor of the drawing will be \(\frac{1}{2}\).                                        

Each side of the scaled triangle will be half of the actual triangle.

Answer:

implicit array sizing

Step-by-step explanation:

The statement "int grades[] = { 100, 90, 99, 80 };" initializes an integer array called "grades" with the values 100, 90, 99, and 80. The given statement is an example of initializing an integer array in C++.

The array is named "grades" and has an unspecified size denoted by the empty square brackets []. The values inside the curly braces { } represent the initial values of the array elements.

In this case, the array "grades" is initialized with four elements: 100, 90, 99, and 80. The first element of the array, grades[0], is assigned the value 100, the second element, grades[1], is assigned 90, the third element, grades[2], is assigned 99, and the fourth element, grades[3], is assigned 80.

The array can be accessed and manipulated using its index values. This type of initialization allows you to assign initial values to an exhibition during its declaration conveniently.

Learn more about integers here:- brainly.com/question/1768254

#SPJ11

The marked angles in Fig. 13.25 are 96 degrees and 72 degrees.

In Fig. 13.25, we have two parallel lines AB and CD. We also have a transversal XY that intersects these two parallel lines. We need to find the marked angles, which are 4x and 3x.

Step 1: Identify the pairs of corresponding angles.

The corresponding angles are the ones that are on the same side of the transversal and in the same position with respect to the parallel lines.

The corresponding angles are equal. For example, angle AXY and angle CYX are corresponding angles and are equal. Similarly, angle BYX and angle DXY are corresponding angles and are equal. We can write the corresponding angles as follows: Angle AXY = angle CYXAngle BYX = angle DXYStep 2:Identify the pairs of alternate interior angles.

The alternate interior angles are the ones that are on opposite sides of the transversal and in the same position with respect to the parallel lines.

The alternate interior angles are equal. For example, angle BXY and angle CXD are alternate interior angles and are equal. Similarly, angle AYX and angle DYC are alternate interior angles and are equal. We can write the alternate interior angles as follows:

Angle BXY = angle CXDAngle AYX = angle DYCStep 3:Identify the pair of interior angles on the same side of the transversal. The interior angles on the same side of the transversal are supplementary. That is, their sum is 180 degrees.

For example, angle AXY and angle BYX are interior angles on the same side of the transversal, and their sum is 180 degrees. We can write this as follows: Angle AXY + angle BYX = 180Step 4:Use the relationships we have identified to solve for x.

We can start by using the relationship between angle BXY and angle CXD, which are alternate interior angles. We have angle BXY = angle CXD4x = 3x + 10x = 10Next, we can use the relationship between angle AXY and angle BYX, which are interior angles on the same side of the transversal.

We have:angle AXY + angle BYX = 180(3x + 10) + 4x = 1807x + 10 = 1807x = 170x = 24Finally, we can substitute x = 24 into the expressions for 4x and 3x to find the marked angles. We have:4x = 4(24) = 963x = 3(24) = 72Therefore, the marked angles in Fig. 13.25 are 96 degrees and 72 degrees.

For more such questions on marked angles

https://brainly.com/question/29565400

#SPJ8

Given:

The function f represents the diver's distance from sea level over time, in seconds.

\(f(x)=\begin{cases}3x+1 & \text{ if } -9<x\leq -2 \\ -5 & \text{ if } -2<x\leq 1 \\ x-6 & \text{ if } 1<x<7 \end{cases}\)

To find:

The correct statement for the domain.

Solution:

Domain is the set of input values for which the function is defined.

Here, x values are the input values and they represent time intervals on which the function is defined

Here, the possible intervals for x are \(-9<x\leq -2,-2<x\leq 1,1<x<7\).

\(Domain=(-9,-2]\cup (-2,1]\cup (1,7)\)

\(Domain=(-9,7)\)

Therefore, the domain is the time interval (−9, 7). Hence the correct option is A.

a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.

a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:

Future Value = Present Value * (1 + interest rate)ⁿ

Where:

Future Value = $40,000

Present Value = $25,000

Interest rate = 12% = 0.12

n = number of years

Substituting the given values into the formula, we have:

$40,000 = $25,000 * (1 + 0.12)ⁿ

Dividing both sides of the equation by $25,000, we get:

(1 + 0.12)ⁿ = 40,000 / 25,000

(1.12)ⁿ = 1.6

To solve for n, we can take the logarithm of both sides of the equation:

n * log(1.12) = log(1.6)

Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:

n * 0.0492 = 0.2041

n = 0.2041 / 0.0492 ≈ 4.15

b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:

Future Value = Present Value * (1 + interest rate)ⁿ

$40,000 = $25,000 * (1 + interest rate)³

Dividing both sides of the equation by $25,000, we have:

(1 + interest rate)³ = 40,000 / 25,000

(1 + interest rate)³ = 1.6

Taking the cube root of both sides of the equation:

1 + interest rate = ∛1.6

Subtracting 1 from both sides, we get:

interest rate = ∛1.6 - 1

Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:

interest rate = 1.126 - 1 ≈ 0.126

To express the interest rate as a percentage, we multiply by 100:

interest rate = 0.126 * 100 = 12.6%

To know more about annual interest rate,

https://brainly.com/question/33696451

#SPJ11

The following combinations would result in multiple triangles:

B) 5°, 122° and 61°.

C). 2 cm, 8 cm, 10 cm.

The correct options are B and C.

A polygon which has three sides and three vertices is called as triangle.

The sum of all the angles of the triangle is 180°.

A) The sum of all the angle is 180°.

It can form the triangle.

B) The sum of all the angle is less than 180°.

From this property, we can not form a triangle.

C). The triangle inequality,

the sum of two sides is less than the side length of the large side.

This property can satisfy the multiple triangle property.

D). It can be the property of a triangle.

Therefore, the combinations are statement B and C.

To learn more about the triangle;

https://brainly.com/question/2773823

#SPJ6

Answer:

y= -3x-5

Step-by-step explanation:

Since your 5 m below, it is -5

The rate of change is 3 but since your going down, it is -3.

Hope this helps and sorry I can't graph this but you can use the equation to help

The diagram that shows all the possible outcomes when each arrow is spun once would be diagram D.

To determine the possible outcome of the given events, the following steps are carried out.

The first spinner has the outcomes listed as follows = A,B,C,D

The second spinner has the outcomes listed as follows=

Red(R) and Pink(P)

When both outcomes are merged the whole possible outcomes include the following;

= A(R and P)

B (R and P)

C ( R and P)

D ( R and P)

Therefore,the diagram that shows all the possible outcomes when the both spinners are spun once would be diagram D

Learn more about probability here:

https://brainly.com/question/31123570

#SPJ1

A unit rate's component is always 1. To find the unit rate, divide the fraction by the fraction such that the denominator is equal to one.

The meaning of math units:

Of mathematics, a unit can be thought of as the right side point in a number or the number one. In this instance, the unit number in the number 6713 is 3. A unit is also a term that may be used to describe the common measurement units.

The dimensions of a unit:

The area of a unit as depicted on the subdivision or annexation map that created the unit is referred to as its size. The lot, tract, or parcel size divided by the number of dwellings is the unit size for two-family and multiple-family homes on a single unit.

To know more about units visit:

https://brainly.com/question/10433377

#SPJ4

Answer:

The circle in graph as radius = 4 and center O(2, 3)

=> equation of this circle: (x - 2)^2 + (y - 3)^2 = 4^2 = 16

=> Option C is correct

Hope this helps!

:)

Answer:

the negative reciprocal is -17/20

Answer:

17/20

Step-by-step explanation:

i hope this helps u

Answer:

D, or the bottom right.

Step-by-step explanation:

The right lower (U shape) scatter plot : demonstrates a non linear relationship between x & y.

The straight scatter plots denote linear relationships.

The upward sloping curve shows direct or positive linear relationship. The downward sloping curve shows inverse, indirect or negative positive relationship.

The scatter plot parallel to x axis, denotes constant values of y at various levels of x.

The parabolic U shaped curve demonstrates a non linear, ie quadratic relationship between dependent variable y & independent variable x.

To learn more, refer https://brainly.com/question/21839842?referrer=searchResults

Answer:

(0,-6) and (-1,0)

Step-by-step explanation:

First:

Set both sides equal to each other: -6x-6=x^2-5x-6

Next:

factor -6 our from the first side and write -5x as a difference:

-6(x+1)=x^2+x-6x-6

Then:

factor out x and -6 drom the second side:

-6(x+1)=x(x+1)-6(x-+1)

Then:

Factor out (x+1)

-6(x+1)=(x+1)(x-6)

Next Combine to one side and factor:

-(x+1)(6+x-6)=0

Simplify:

(x+1) (x)=0

find the zero:

x+1=0 --> x=-1

x=0 --> x=0

Substitute into the equations to find y:

y=-6(-1)-6

y=-6(0)-6

Solve:

y=0

y=-6

Answer:

(x1,y1)= (-1,0)

(x2,y2)= (0,-6)

Answer:

Centre = ( - 4, - 5 )

Radius = 7

Step-by-step explanation:

x² + y² + 8x + 10y - 8 = 0

It is in the form of x² + y² + 2gx + 2fy + c = 0 ( General circle equation ).

where,

2g = 8

g = 4

2f = 10

f = 5

c = - 8

Formula : -

The centre of the circle = ( - g, - f )

So,

The centre of the circle is ( - 4, - 5 ).

Formula : -

( Radius )² = g² + f² - c

( Radius )² = ( - 4 )² + ( - 5 )² - ( - 8 )

                 = 16 + 25 + 8

( Radius )² = 49

Square root on both sides,

Radius = √49 = 7

Answer:

See below ~

Step-by-step explanation:

Given

Completing the square method (for both x and y)

2. Bring the constant term to the other side by adding 49 on both sides.

3. Centre = (x, y)

4. Radius

Answer:

About 31.8%

Step-by-step explanation:

56/175 would get you your answer.

but i'm a bit rusty on how to do this

The value of x that makes the two lines parallel is given as follows:

x = 16.

When two parallel lines are cut by a transversal, corresponding angles are pairs of angles that are in the same position relative to the two parallel lines and the transversal. Corresponding angles are always congruent, which means that they have the same measure.

As corresponding angles are congruent, and 94º and (4x + 30)º are corresponding angles, the value of x is obtained as follows:

4x + 30 = 94

4x = 64

x = 64/4

x = 16.

If the two lines are parallel, 94º and (4x + 30)º are corresponding angles.

More can be learned about corresponding angles at brainly.com/question/24607467

#SPJ1

The line integral ∫Cz² dx + x² dy + y² dz along the line segment from (1, 0, 0) to (5, 1, 2) evaluates to 11.

To evaluate the line integral ∫Cz² dx + x² dy + y² dz, where C is the line segment from (1, 0, 0) to (5, 1, 2), we need to parameterize the curve and compute the integral along the curve.

Let's parameterize the curve C(t) = (x(t), y(t), z(t)) as follows:

x(t) = 1 + 4t

y(t) = t

z(t) = 2t

We will integrate with respect to the parameter t from t = 0 to t = 1.

Now, we can compute the line integral

∫C z² dx + x² dy + y² dz = ∫[0,1] (z²(dx/dt) + x²(dy/dt) + y²(dz/dt)) dt

Substituting the parameterizations and differentiating, we have

\(\int\limits^0_1\)(4t²(4) + (1 + 4t)²(1) + t²(2)) dt

Expanding and simplifying:

\(\int\limits^0_1\)(16t² + 1 + 8t + 16t² + 2t²) dt

Combining like terms

\(\int\limits^0_1\) (18t² + 8t + 1) dt

Integrating term by term:

\(\int\limits^0_1\) (6t³ + 4t² + t) evaluated from 0 to 1

Substituting the limits of integration

(6(1)³ + 4(1)² + 1) - (6(0)³ + 4(0)² + 0)

Simplifying

6 + 4 + 1 = 11

Therefore, the value of the line integral ∫Cz² dx + x² dy + y² dz along the line segment from (1, 0, 0) to (5, 1, 2) is 11.

To know more about integration:

https://brainly.com/question/31954835

#SPJ4