Find the distance between the two points and the midpoint of the line segment joining the points. Please!!!

From the calculation that we have in the question, the volume of the rectangular prism is 30 cm^3.

A rectangular prism, also known as a rectangular parallelepiped, is a three-dimensional shape that has six rectangular faces, where each pair of opposite faces are congruent and parallel. It can be thought of as a stretched cube, where the length, width, and height are all different.

We have that the volume of the rectangular prism is

V = lbh

V = 2 * 3 * 5

V = 30 cm^3

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Figure J is rotated 90° clockwise and then translated by 3 units toward the right.

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The translation does not change the shape and size of the geometry. But changes the location.

Figure J is rotated 90° clockwise and then translated by 3 units toward the right.

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The correct option is (E)  "The amount of fertilizer applied to each plot of land." In this  linear regression equation, the family needs to select an explanatory variable that they can control and that can affect the amount of grain harvested per acre of land.

Out of the given options, "amount of fertilizer applied to each plot of land" is the most appropriate explanatory variable that the family could use to create a linear regression equation. By controlling the amount of fertilizer used, the family can investigate the relationship between fertilizer and the amount of grain harvested per acre of land. They can then use this relationship to predict the amount of grain they can harvest if they use a certain amount of fertilizer in the future. so, the correct option is (E).

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____The given question is incomplete, the complete question is given below:

A family would like to build a linear regression equation to predict the amount of grain harvested per acre of land on their farm. they subdivide their land into several smaller plots of land for testing and would like to select an explanatory variable they can control. which of the following is an appropriate explanatory variable that the family could use to create a linear regression equation? А The total amount of rainfall recorded at their farm B The type of crop planted in the plot the previous year с The average daily temperature at their farm D The variety of grain planted in the plot E The amount of fertilizer applied to each plot of land i

Linear Function: These are functions that are easily represented by a straight line.

An example is given thus:

We can plot a T table and a graph to look like so:

Linear non function:

An example is x = 3

NonLinear function:

An example is

Non Linear Non Function

An example is:

Answer:

$110

Step-by-step explanation:

Total bill = 1x+50, where x is the number of minutes

so if x=60, then

total bill is 1(60)+50 = $110

The domain and range of the graph above in interval notation include the following:

Domain = [-6, 3]

Range = [-3, 3]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-6, 3] or -6 ≤ x < 3.

Range = [-3, 3] or -3 < y < 3

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Answer:

eight two point baskets

Step-by-step explanation:

3 points = 9 points

1 points = 5 points

9+5= 14

30-14= 16

= 16/2

=8

Answer:

y = 3

Step-by-step explanation:

Calculate the slope between the 2 points using the slope formula, then equate to - 3

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (12, - 12 ) and (x₂, y₂ ) = (7, y )

m = \(\frac{y-(-12)}{7-12}\) = \(\frac{y+12}{-5}\) = - 3 ( multiply both sides by - 5 )

y + 12 = 15 ( subtract 12 from both sides )

y = 3

Answer:

36 players

Step-by-step explanation:

Total players = 48

Group 1 : Group 2

1:3

For Group 1:

=48X3÷4

=12

For Group 2:

=48X3÷4

=36

Group 1 players+Group 2 players=48 players

12+36=48

Answer:

it is wonderful short-story reading experience./ a collection of short stories.

Answer:

a collection of short stories

Step-by-step explanation:

Step-by-step explanation:

Greater than 4 means  it lands 5 or 6  or  1/3 of the possible rolls

  1/3 * 45 = 15 times

Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

Answer:

18 square units

Step-by-step explanation:

The parallelogram has been plotted in the attached figure

The area of a parallelogram is b x h

where b is one side and h is the vertical distance between the two bases

In the figure, we see that base = AB is parallel to the y-axis

This means the y-coordinates of A and B are the same and the distance is obtained by taking the absolute difference between the x-coordinates of A and B

b = |x1 - 2| = |6 - 0| = 6

The height h is a perpendicular line from point D(1, 3) to the base which touches the base at point E

Since this line is horizontal to the x-axis in the figure, the y coordinates of the endpoints of the line are the same i.e y1 =3 and y2 = 3

Therefore h = absolute difference between the x coordinates
= |1-4| = 3

Given b = 6, h = 3

area = 6x 3 = 18 square units

Answer:

73 hot dogs

58 hamburgers

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Answer:

c = 29

Step-by-step explanation:

Law of sines is given as: \( \frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)} \)

B = 180 - (57 + 44) = 79°

b = 41

C = 44°

c = ?

Thus:

\( \frac{b}{sin(B)} = \frac{c}{sin(C)} \)

Substitute

\( \frac{41}{sin(79)} = \frac{c}{sin(44)} \)

Multiply both sides by sin 44

\( \frac{41}{sin(79)}*sin(44) = \frac{c}{sin(44)}*sin(44) \)

\( \frac{41*sin(44)}{sin(79)}*sin(44) = c \)

c = 29.0140633 ≈ 29

Answer: No she cannot cover it

Step-by-step explanation:

1yd² = 1296in²

16 x 11 x 9 = 1584in²

1296in² < 1584in²

Answer:

(6, 6)

Step-by-step explanation:

The formula to find midpoint is (xm, ym) = (x1+x2)/2, (y1+y2)/2

In this case, x1= 9

x2= 3

y1= 5

and y2= 7

so, (xm, ym) = (9+3)/2, (5+7)/2

which can be simplified to

(xm, ym)= 12/2, 12/2

which equals (xm, ym) = 6,6

so the x value of the midpoint is 6 and the y value of the midpoint is 6

which makes the midpoint (6,6)

The percentage change from 20 to 14 is 30% decrease

From the question, we have the following parameters that can be used in our computation:

20 to 14

The final value (14) is less than the initial value (20)

So, the change is a percentage decrease

The change is then calculated as

Change = (Final value - Initial value)/Initial value * 100%

Substitute the known values in the above equation, so, we have the following representation

Change = (14 - 20)/20 * 100%

Evaluate

Change = -30%

Hence, the percentage decrease is 30%

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Answer:

x = 43.9

Step-by-step explanation:

sin 20° = 15/x

0.3420 = 15/x

x = 43.86

Using a calculator, the value of  csc (203°) is -1.086

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Since csc (203°) = 1/[sin (203°)]

Press 1/ [sin (203°)] and then the equal to button on your calculator. We have:

1/[sin (203°)] = -1.086

Note: If you calculator have "cosec" or "csc" button, you can simply press cosec (203°) or csc (203°) to get the answer.

Thus, the value of  csc (203°) is -1.086

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Answer:

Step-by-step explanation:

its alternate internal angles:

∠4 ≅ ∠5 (angle 4 is congruent or equal to alternate internal angle)

therefore,

∠5 = 50°

The measure of angle 5 should be considered as the 50 degrees when angle 4 should be equivalent to 50 degrees.

Alternate interior angles should be created via intersecting the 2 parallel lines in a transversal way. It should be located that lies between the two parallel lines.

Since the given diagram shows the alternate internal angles

Since angle 4 is 50

So angle 4 should be congruent or equivalent to alternate internal angle)

So angle 5 should be 50 degrees.

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The simple interest rate Lucille is being charged for taking her car to a title loan business to borrow $1,500 and repaying $300 in addition to the $1,500 from the loan in 6 months is 40%.

Simple interest refers to an interest system that does not computed interest on accumulated interest but only on the principal for each interest period.

It is the opposite of the compound interest system that computes interest on both the principal and accumulated interest for each period.

The formula for computing the simple interest rate is as follows:

Simple Interest Rate = (SI x 100)/PT

Where:

SI = simple interest

P = principal

T = Time

The principal loan = $1,500

The amount in simple interest paid = $300

The total amount repaid for the loan = $1,800 ($1,500 + $300)

The loan period = 6 months

Simple interest rate = (Simple interest x 100)/(Principal x Time)

= ($300 x 100)/$1,500 x 6/12)

=  ($300 x 100 x 12)/$1,500 x 6)

= 40%

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Step-by-step explanation:

gradient means slope.

the slope is anyways the factor a of x on the slope-intercept form

y = ax + b

and in the point-slope form

y - y1 = a(x - x1)

"a" is as mentioned the slope. b is the y-intercept (the y- value when x = 0).

(x1, y1) is a point on the line.

a)

y = (1/2)×x - 2

b)

y - 2 = 3(x - -2) = 3(x + 2) = 3x + 6

y = 3x + 8

c)

remember, the slope is defined as ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

so, let's go from (1, -2) to (-2, 1)

x changes by -3 (from 1 to -2)

y charges by +3 (from -2 to 1)

the slope is +3/-3 = -1/1 = -1

so, we pick one point, e.g. (1, -2), and the line is

y - -2 = -(x - 1) = -x + 1

y + 2 = -x + 1

y = -x - 1

d)

x = -1

this is a vertical line (parallel to the y-axis) representing all points on the grid for which x = -1.

the slope is undefined, as it is y/0 (because x never changes at all). and there is no y-intercept, as x can never be 0, and the line is parallel to the y-axis, so, there cannot be any intersection point.

Answer:

\(\textsf{a) \quad $y=\dfrac{1}{2}x-2$}\)

\(\textsf{b) \quad $y=3x+8$}\)

\(\textsf{c) \quad $y=-x-1$}\)

\(\textsf{d) \quad $x=-1$}\)

Step-by-step explanation:

Slope-intercept form of a linear equation:

\(y=mx+b\)

where:

Given values:

Substitute the given values into the formula to create the equation of the line:

\(\implies y=\dfrac{1}{2}x-2\)

---------------------------------------------------------------------------

Point-slope form of a linear equation:  

\(y-y_1=m(x-x_1)\)

where:

Given:

Substitute the given values into the formula to create the equation of the line:

\(\implies y-2=3(x-(-2))\)

\(\implies y-2=3(x+2)\)

\(\implies y-2=3x+6\)

\(\implies y=3x+8\)

---------------------------------------------------------------------------

Slope formula:

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}\)

where (x₁, y₁) and (x₂, y₂) are points on the line.

Given points:

Substitute the points into the slope formula to calculate the slope of the line:

\(\implies m=\dfrac{1-(-2)}{-2-1}=\dfrac{3}{-3}=-1\)

Substitute the found slope and one of the points into the point-slope formula to create the equation of the line:

\(\implies y-y_1=m(x-x_1)\)

\(\implies y-(-2)=-1(x-1)\)

\(\implies y+2=-x+1\)

\(\implies y=-x-1\)

---------------------------------------------------------------------------

If the line is parallel to the y-axis, it is a vertical line.

The equation of a vertical line is x = c.

Therefore, as the line intersects the x-axis at -1, the equation of the line is:

\(\implies x=-1\)

Answer:

Option 2.

Step-by-step explanation:

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)

Range: \((- \infty} ,0)\)∪\((0, \infty} )\)

Answer:

Circle f is a translation of circle d

Step-by-step explanation:

by using formula a²-b²=a+b

a²b=a²-b² like this

Answer:

all the would need water becouse water is the main reason to get live

Answer:the answer is 3 and -1

Step-by-step explanation:

X=3

And

X=-1

Answer:

28p + 14q + 21r

Step-by-step explanation:

7(4p + 2q + 3r) ← multiply each term in the parenthesis by the 7 outside

= 28p + 14q + 21r