What is the slope of a line that goes through the points (1,-5) and (-3, 2)?
O
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7
4
3
3

The number of weeks when Salma and Henry would have the same amount of money is 20 weeks.

The form of the equations that represent the total amount of money saved is :

Total amount in the account = initial amount in the account + (amount added each week x number of weeks)

SS = $35 + ($8 x tt)

SS = $35 + $8tt

HH = $95 + ($5 x tt)

HH = $95 + $5tt

When they have the same amount in their account, the two equations woud be equal.

HH = SS

$95 + $5tt  =  $35 + $8tt

$95 - $35 = $8tt - $5tt

$60 = $3tt

tt = $60 / 3

tt = 20 weeks

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After solving with help of the formula to find the volume of the sphere we find that the volume of the sphere is 3053.63

The radius of the sphere = 9 units

Height of sphere  =7 units

 the value of π is given in the question =3.14

The volume of the sphere = 4/3 × π × r^3

                                             = (4/3) × 3.14×9^3

                                             = (4/3) × 3.14 × 27

                                             = 4 × 3.14 × 9

                                             = 36 × 3.14

                                             = 3053.63

The volume of the sphere is 3053.63

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Answer:

2, 3

Step-by-step explanation:

[tex]g(x)=\frac{1}{2}(4x+6) \\ \\ =2x+3[/tex]

The line segment AD is 12 units.

The midpoint is the middle point of a line segment.

It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

The midpoint is halfway between the two end points:

Therefore, B is between A and C.

C is between B and D.

Hence,

AC = 8

BC = 5

BD = 9

AD = ?

Therefore,

AD = AB + BC + CD

AB = AC - BC

AB = 8 - 5

AB = 3 units

CD = BD - BC

CD = 9 - 5

CD = 4 units

Therefore,

AD = 3 + 5 + 4

AD = 12 units

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Answer:

16t+55t+6t=77. 55-6=49

The Equation of line -

The slope intercept form of a line is given by -

y = mx + c

m is the slope of line

c is the y - intercept

Given is a line that passes through the point (3, 10) and in case [1] is parallel to line y = x - 1 and in case [2] is  perpendicular to y = x - 1.

Case 1 -  Line is parallel to the line y = x - 1

Assume that the equation of line is -

y = mx + c

Since, the line is parallel, both lines will have same slope and is given by -

m = 1

Since, the line passes through the point (3, 10) we can write -

10 = 1 x 3 + c

c = 7

We can write the equation of line parallel to line y = x - 1 as -

y = x + 7

Case 2-  Line is perpendicular to the line y = x - 1 -

Assume that the equation of line is -

y = mx + c

Since, the line is perpendicular, the product of slopes of both lines will be equal to 1. The slope (m) of the line will be -

m x 1 = -1

m = -1

Since, the line passes through the point (3, 10) we can write -

10 = -3 + c

c = 13

We can write the equation of line perpendicular to line y = x - 1 as -

y = - x + 13

Therefore, the equation of line -

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Answer:

there's no ratio, or maybe u can help me out

The postulate that can be used to prove that the triangles are congruent is: AAS.

The AAS congruence postulate states that if two angles and one non-included side of one triangle are congruent to corresponding two angles and one non-included side of another triangle, it can be proven that both triangles are congruent triangles.

From the image, we know that triangles RST and UVT have:

Two pairs of congruent angles, which are angle RST ≅ angle UVT and angle RTS ≅ UTV (vertical angles)

One pair of non-included congruent sides, which are RT ≅ UT.

Thus, we can conclude that they are congruent triangles based on the AAS congruence postulate.

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Answer:

r=-4

Step-by-step explanation:

use the slope formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Then plug in x and y values and set that equal to m=1

1=[tex]\frac{-2-8}{r-6}[/tex]

multiply r-6 over

r-6=-10

r=-4

The function f(x)=[tex]\sqrt{3x-12} +2[/tex]. The Domain of the function is 4, we can also write {y|y∈R,y≥4}

Given that,

The function f(x)=[tex]\sqrt{3x-12} +2[/tex]

We have to find the range of the function.

Range is nothing but y but in the equation we have x so we find domain.

The domain is the set of inputs that a function will accept is known as the domain of the function in mathematics. It is occasionally indicated by dom(f), where f is function.

More specifically, f:X--->Y the domain of f is X given a function. It should be noted that in contemporary mathematical terminology, a function's domain is a component of its definition rather than a quality.

Take the function

f(x)=[tex]\sqrt{3x-12} +2[/tex]

Now,

3x-12≥0

3x≥12

x≥12/3

x≥4

Therefore, The Domain of the function is 4, we can also write {y|y∈R,y≥4}

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Answer:

2

Step-by-step explanation:

2

If two  cars leaves from a place at the same time they travel in opposite directions and the speed of the first and second cars are 62 km per hour and 48 km per hours respectively , 5 hours will take before they are 550 km apart

The speed of the first car=62 km per hour

The speed of the second car=48 km per hour

Two cars leave from a place at the same time they travel in opposite directions

The relative speed of the car = Speed of the first car - (- Speed of the second car )

=62-(-48)

=110 km per hour

Time take = Distance between the two cars / Relative speed of the two care

=550/110

=5 hours

Hence, if two  cars leaves from a place at the same time they travel in opposite directions one at 62 km per hour the other at 48 km per hour, 5 hours will take before they are 550 km apart

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The difference between 2/5(d-10)-2/3(d+6) is -56.

Firstly simplifying the terms to find the difference. Simplifying the first part -

Rewriting the expression

Expression 1 = 2/5(d - 10)

Multiplying the terms with the bracket

Expression 1 = 2d/5 - ((2×10)/5)

Multiplying the terms on Right Hand Side

Expression 1 = 2d/5 - 2×2

Performing multiplication

Expression 1 = 2d/5 - 4

Simplifying the second part -

Rewriting the expression

Expression 2 = 2/5(d + 6)

Multiplying the terms with the bracket

Expression 2 = 2d/5 + ((2×6)/5)

Multiplying the terms on Right Hand Side

Expression 2 = 2d/5 - 12×5

Performing multiplication

Expression 2 = 2d/5 - 60

Subtracting expression 2 from expression 1

Difference = 2d/5 - 60 - (2d/5 - 4)

2d/5 will be subtracted to give 0

Difference = - 60 + 4

Performing subtraction

Difference = - 56

Therefore, the difference between mentioned expressions is -56.

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If Lucy earns $15.75 per hour. Last week she worked 25 hours her gross pay is $393.75 . If Lance has a yearly salary of $52,300 and pays 21% in taxes her  taxed amount  is $10,983, net pay is  $41,317 and paycheck is $2,179.

1. Gross pay

Using this formula to determine the gross pay

Gross pay = Amount earn per hour × Number of hours worked

Let  plug in the formula

Gross pay =  $15.75 per hour × 25 hours

Gross pay = $393.75

2a. Taxed amount

Amount in Tax = Salary × Tax percentage

Amount in taxes = $52,300 × 21%

Amount in taxes = $10,983

2b. Net pay

Net pay = Gross  - Deduction

Net pay =  $52,300 - $10,983

Net pay = $41,317

2c. Paycheck

Paycheck = $52,300 / 24 months

Paycheck = $2,179 per paycheck

Therefore we can conclude that the her gross pay is $393.75

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Answer: rectangle

Step-by-step explanation: brainliest please? i could really use it

Answer:

most likely 16 if its a long object or 8 if its a short one

Step-by-step explanation:

if u provided a graph it could help alot

Option A 2X+y=1, the perpendicular graph, is correct.

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Answer: 8/23

Step-by-step explanation:

Make a two-way table

                             Did Assignment        Didn't do Assignment

Passed                            12                                        2

Did not pass                    3                                        6

Total                                 15                                       8                     = 23

2+6=8

8/23

Answer:

Step-by-step explanation:

Answer:

c. x > 2.

Step-by-step explanation:

4x + 1/2 (2x+4) > 12

4x + x + 2 > 12

5x > 10

x > 2.

The dilated picture of the point D dilation that is necessary is -6.

Given that,

To determine thee dilated image of point D (-2, 0), on the graph.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

The scale factor is defined as the ratio of modified change in length to the original length.

Here,Formerly point D is located at (-2, 0).

Now multiplying with the scale factor 3 the point goes

(-2 * 3, 0*3) => (-6, 0).

Thus, The required dilated image of the dilation of point D is -6.

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Answer:

x=37

Step-by-step explanation:

3x + 3 + 2x - 8 = 180

solve for x and x = 37

hope this helped

have a good day sir ^^

Answer:

x=37

Step-by-step explanation:

180=5x+3-8

180=5x-5

+5      +5

185=5x

/5     /5

37=x

x=37

If the rows are  perpendicular to the footpath, then the gardener ensure that that the rows are parallel.

Parallel:

Any two lines are said to be parallel if the Corresponding angles so formed are equal.

Given,

The head gardener at a botanical garden wants to plant rosebushes in parallel rows on either side of an existing footpath.

Here we need to find how can the gardener ensure that that the rows are parallel.

To know the answer, we have to consider the following,

Let us consider,

If the gardener digs every row at a 90° angle to the footpath, then each row will be exactly perpendicular to the foot path of the garden.

Which means,

If the rows are  perpendicular to the footpath, then the rows are parallel.

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The three more solutions to the given linear equation are (2,-9/2), (6,-3/2), and (5,-9/4).

Given equation:-

y = (3/4)x - 6

We have to create a table of values to obtain ordered pairs.

Also, we have to plot these ordered pairs to create a linear graph and based on the  graph we have created, we have to find three more solutions to the equation.

Let x = 0

y = 0 - 6 = -6

Ordered pair = (0,-6)

Let y = 0

0 = (3/4)x - 6

6 = (3/4)x

x = 8

Ordered pair = (8,0)

Let x = 4

y = 3 - 6 = -3

Ordered pair = (4,-3)

The graph of these three ordered pairs is attached below.

Based on the graph the other 3 ordered pairs that we can find are (2,-9/2), (6,-3/2), and (5,-9/4).

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The set of possible values for "p" is ((4-√7)/9, (4+√7)/9).

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The value of the x, when y = 10 by the direct proportional is found as x = -5.

As per the given question;

y is in the direct variation with x.

This can be written as; y ∝ x.

Or, y = kx

Where, k is proportionality constant.

put the values;  y = 6 when x = -3

6 = -3 k

k = -2

Now, the value of x when y = 10.

y = kx ; put the value of y and k

10 = (-2)x

x = -5

Thus, the value of x in direct variation with y = 10 is found as x = -5.

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Answer:[tex]96cm^2\\[/tex]

Step-by-step explanation:

64= [tex]x^3\\[/tex]

[tex]\sqrt[3]{64} =4[/tex]

So a side is 4, and surface area of one side is 4x4 = [tex]16cm^2[/tex]

cude has 6 faces, 16*6 = [tex]96cm^2\\[/tex]

Answer:

96 cm²

Step-by-step explanation:

If the side of a cube is a, then volume = a³

There are six surfaces for a cube and each surface has an area of a²
So total surface area = 6a²

Since we are given volume = 64 cm³, each side must be ∛64 = 4 cm

So total surface area = 6 x 4² = 6 x 16 = 96 cm²

The rate of change (m) = 9

The starting number (b) = 100

The equation is: y = 9x + 100

(0, 100) is the ordered pair for the starting number.

See the image for the graph of y = 9x + 100.

To create the equation of a line, we need to determine the following:

Y-intercept/starting value = b

Slope of the line/rate of change = m

The ordered pair of the y-intercept or starting value is represented as (0, b), where b is the value of y on the y-axis where the line intercepts the y-axis and x = 0 at this point.

These values can be substituted into y = mx + b, which represents the equation of the line in slope-intercept form.

From the information given, we have:

Y-intercept/starting value (b) = 100

Slope of the line/rate of change (m) = 9

To write the equation of the line, substitute m = 9 and b = 100 into y = mx + b:

y = 9x + 100

The ordered pair for the starting number would be: (0, 100).

The image below shows the graph of y = 9x + 100.

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Answer:

  14

Step-by-step explanation:

You want to know how old Mark is if he is 6 years younger than twice his brother's age, and their combined age is 24.

Let m and b represent Mark's age and his brother's age, respectively.

The given relations are ...

Solving the second equation for b, we have ...

  b = 24 -m

Using that in the first equation gives ...

  m = 2(24 -m) -6

  m = 48 -2m -6

  3m = 42 . . . . . . . . . add 2m, combine like terms

  m = 14

Mark is 14 years old.

__

Check

Mark's brother is 24 -14 = 10. Twice that less 6 is 2×10 -6 = 14, which is Mark's age, as it should be.

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(C) "Eukaryotic cells must be smaller than prokaryotic cells due to the increased number of organelles" is not the reason for the small size of the cells.

The reasons for the small size of cells are as follows:

Option (C) is not mentioned the reasons for the small size of the cell, so (C) is the answer.

Therefore, (C) "Eukaryotic cells must be smaller than prokaryotic cells due to the increased number of organelles" is not the reason for the small size of the cells.

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The complete question is given below:

Which is NOT a reason for the small size of cells?

A) nutrients and wastes must enter and leave the cell through the plasma membrane

B) the nucleus can only control a certain amount of cytoplasm

C) the increased number of organelles requires that eukaryotic cells be smaller than prokaryotes cells

D)materials must be able to move quickly and efficiently through the cytoplasm

E) as the linear dimensions of a cell increase, the volume increases twice as fast as the surface area