What is the slope of the line containing (-3, 1) and (1, -2)?

Answer:

y = 23 , ∠ S = 135° , ∠ T = 45° are correct

Step-by-step explanation:

the opposite angles of a parallelogram are congruent , then

6x - 9 = 4x + 39 ( subtract 4x from both sides )

2x - 9 = 39 ( add 9 to both sides )

2x = 48 ( divide both sides by 2 )

x = 24 ≠ 15

and

3y - x = 2y - 1 , that is

3y - 24 = 2y - 1 ( subtract 2y from both sides )

y - 24 = - 1 ( add 24 to both sides )

y = 23 ← is correct

∠ R = 3y - x = 3(23) - 24 = 69 - 24 = 45°  ≠ 27°

∠ S = 6x - 9 = 6(24) - 9 = 144 - 9 = 135° ← is correct

∠ T = ∠ R = 45° ← is correct

∠ U = ∠ S = 135° ≠ 99°

The dimensions of the parallelogram to the nearest hundredth of an inch are 6.54 in and 3.06 in.

A Parallelogram is a flat shape with opposite sides parallel and equal in length.

properties of Parallelogram

Trigonometry would be used to determine the base and the length of the parallelogram.

Base: cos 40 = adjacent /hypotenuse

0.7660 = adjacent / 4

adjacent = 4 x 0.7660

adjacent  = 3.06 inch

Length = area/base

Length= 20/3.06

Length= 6.54 in

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Answer:

"Substitution comes in three flavors: nominal, verbal or clausal, depending on the item being substituted.

Step-by-step explanation:

Hope it helps!

Answer:1/15

Step-by-step explanation
formula = y2-y1/x2-x1;

x1=7;y1=5; x2=-8;y2=4
4-5/-8-7=-1/-15
=1/15

The required measure of x would be 9√10 units for the attached figure.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The right triangle is given in the question, as follows:

We have to determine the measure of x for the attached figure.

According to Euclidian theorem, the required solution would be as:

x² = 27 × (27+3)

x² = 27 × 30

Apply the multiplication operation,

x² = 810

Apply the square root property for both sides

x = 9√10

Therefore, the required measure of x would be 9√10 units.

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The question seems to be incomplete the correct question has been attached below.

The Output Variable is Total cost represented by c(m).

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given:

A website charges $3 for each movie you download.

They also charge a one-time sign-up fee of $14.99.

So, the input variable will be m which shows the number of movies.

and, the output variable will be c which shows the total cost.

Then, the equation models the cost c(m), is c(m)=3m+14.99

Now, putting the values for m = 0, 1, 2, ....

c(0)= 4.99, c(1)= 17.99, c(2)= 20.99

Hence, the output variable is total cost.

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Therefore , the solution of the given problem of quadratic equation comes out to be XYZ² equals to x² + y² + z² – 2 x y + 2 y z – 2 z x .

A quadratic quadratic in a specific factor is x ax2+bx+c=0, that is a quadratic equation. a 0. The fact that this equation is of second order guarantees that it contains lease one solutions according to the First Theorem of Algebra. Solutions could be straightforward or difficult. A quadratic equation is one that has four variables. This suggests that at least the word in it should be squared. One of the common formulas for solving quadratic equations is "ax2 + bx + c = 0." where the undefined variable "X" is represented by the quantitative coefficients or integers a, b, and c.

Here,

Given: XYZ ²

To find the value of XYZ ² ,

Thus,

=> XYZ ² = x² + y² + z² – 2 x y + 2 y z – 2 z x .

So, the solution for this XYZ² equals to x² + y² + z² – 2 x y + 2 y z – 2 z x .

Therefore , the solution of the given problem of quadratic equation comes out to be XYZ² equals to x² + y² + z² – 2 x y + 2 y z – 2 z x .

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The volume of the smallest container that holds 370 grams of oil is

400 cm³.

Density is mass per unit volume.

We have,

The density of sunflower oil = 0.925

Mass of sunflower oil = 370 grams

Now,

Density = Mass / Volume

So,

The volume of the smallest container that holds 379 grams of oil.

= Mass of the sunflower oil / Density of the sunflower oil

= 370 / 0.925

= 400 cm³

Thus,

The volume of the container that holds 379 grams of oil is 400 cm³.

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At a 10% annual growth rate, the cash equals Rs. 3,600 in two years. ​ Rs. 3960.

The principal is the sum you borrowed and are required to repay, while the interest is what you pay. For the majority of borrowers, the total monthly payment you make to your mortgage company includes additional expenses like homeowners taxes and homeowner's insurance that may be placed in an escrow account.

According to the given information:

here principal(P)=3600, R=10%, n= 2 year

amount A=p(1+R/100)ⁿ

3600(1+10/100)²

3600*11/10

=3690

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Answer: w=10n+8

Step-by-step explanation:

6x10+8=68

7x10+8=78

8x10+8=88

9x10+8=98

Answer: 27p^15 q^3

Step-by-step explanation:

Empty space is within the container is 90.The volume of the object from the volume of the container in which it is packaged can be used to determine the empty space in a container.

The volume of the object from the volume of the container in which it is packaged can be used to determine the empty space in a container.

The cylinder will have an interior height of 9 inches (three times the diameter of the balls) and an interior diameter of 3 inches (1.5 inch radius). It takes up around 21.2 cubic inches of the cylinder when the balls are not there.

The volume of the object from the volume of the container in which it is packaged can be used to determine the empty space in a container.

According to question:- 100 - 10 = 90.

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Option (i) , (ii) and (iii) all represents quadratic equations as all of them is of degree 2 and coefficient of degree 2 is non-zero.

Having the form a[tex]x^2[/tex] + bx + c = 0, quadratic equations are 2nd degree algebraic expressions. The meaning of the term "quad," is square, comes the word "quadratic." A quadratic equation is a "equation of degree 2," to put it another way.

Option i

3x^2-5x+9=x^2-7x+3

so the coefficent of degree 2 is 3-1 which is 2 which is non - zero value so this expression is a quadratic equation.

Option ii

x+ [tex]\frac{1}{x}[/tex] =1

=> [tex]x^2[/tex] -x +1=0

so the coefficent of degree 2 is 1 which is non - zero value so this expression is a quadratic equation.

Option iii

[tex]x^2[/tex] -3x=0

so the coefficent of degree 2 is 1 which is non - zero value so this expression is a quadratic equation.

so all the 3 option represents a quadratic equation.

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The additive inverse of 7/8 is -7/8.

This can be seen when using the additive inverse formula. The additive inverse formula states that if a number is denoted as x, then the additive inverse would be -x. Therefore, when applied to 7/8, it would be -7/8. This can also be seen when adding the two numbers together. When 7/8 is added to -7/8, the sum is 0. This can be seen in the calculation below:

7/8 + (-7/8) = 0

7/8 - 7/8 = 0

0/8 = 0

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Answer:

0

Step-by-step explanation:

if no term exists in an expression this means it has a coefficient of 0

Therefore , the solution of the giving problem of tables is  a number designating the type of rule, a set of -1 tokens, and a ranking of the rule.

A mathematical table is a collection of numbers that shows the outcome of a calculation using multiple inputs. data with numbers and descriptions that is arranged in rows and columns. The table and 10 pattern are easy to remember. The following is the order of the numbers:2,4,6,8,10,12,14,16,18,20. Value maps are used to show how different data pieces are related to one another. You can incorporate the values expression table into your science lecture. Scientists and researchers use tables of values to store data and seek for patterns in that data. Then, this pattern is used in forecasting.

Here,

Tokens from the address input sequence are mapped to a standardized output sequence using a set of rules found in the rules table.

A rule is described as a collection of input tokens, a set of output tokens, a set of -1 (terminator), a number designating the type of rule, a set of -1 tokens, and a ranking of the rule.

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Answer: -12ab^3

Step-by-step explanation: (-3ab^3) 4 -12ab^3

x=2 is value of x does the function f(x).

An easy definition of a function?

As a set of inputs with one output for each, a function is defined as a relationship between them.

                     In plain English, a function is an association between inputs in which each input is connected to precisely one output. a unique relationship in which each input only results in one outcome. Where x is the input value, it is frequently expressed as "f(x)". as in f(x) = x/2 ("f of x equals x divided by 2") Each input "x" yields a single output "x/2," indicating that it is a function: • f(2) = 1.

X f(x) g(x)

1    6   6

2  12 16

3  18 30

4  24 48

We can see from this table that f(x) is greater than g(x) starting from x=2

Therefore I think x=2 is your answer.

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On solving the provide question, based on the congruent triangles properties, we got to know that x= 76° and 90°.

Congruent triangles are two triangles that are identical in terms of their size and form. The two congruent triangles remain congruent whether you rotate, flip, or flip one of them. If two triangles have the same number of sides, then their angles and congruence must match.

As a result, we can determine that two triangles are congruent if all three of their sides are equal. We also understand that if there is a side, an angle between the sides, and a third side that is congruent, the three sides are congruent. which means sides, corners, and sides.

For green -

=> x = 76° ( both side are same)

For orange -=> x = 90°

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Answer:

$43

Step-by-step explanation:

165/5=33

33+10=43

Answer:

43

Step-by-step explanation:

165/5 =

33..

+10

43

If solving an equation provides a statement that is true for a single value of the variable, such as x = 3, the problem has one solution. If solving an equation provides a statement that is always true, such as 3 = 3, the equation has an unlimited number of solutions.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

If solving an equation provides a statement that is true for a single variable value, such as x = 3, the problem has a single solution. If solving an equation produces a statement that is always true, such as 3 = 3, the equation has an unlimited number of solutions.

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The vertices of the image of the figure LMNO following a 90° rotation about the origin are; L'(3, 5), M'(6, 6), N'(3, 4), O'(6, 4), indicating that the corresponding segment L'O' and M'N' are on the lines x = 6 and x = 3, the correct option is option B.

B. x = 6 and x = 3

A rotation is the circular motion about a specified center of rotation of the points on the figure of the preimage.

The coordinates of the vertices of the figure LMNO are; L(-5, 3), M(-6, 6), N(-4, 6), O(-4, 3)

The transformation of the figure LMNO = 90° clockwise rotation about the origin.

The coordinate of the image of the point (x, y) following a rotation of 90° about the origin is the point (y, -x).

Therefore, the coordinates of the image of the figure LMNO following a rotation of 90° about the origin are found as follows;

L(-5, 3) [tex]\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}[/tex] L'(3, 5)

M(-6, 6) [tex]\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}[/tex] M'(6, 6)

N(-4, 6) [tex]\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}[/tex] N'(6, 4)

O(-4, 3) [tex]\underset{\longrightarrow}{R_{90^{\circ}\ clockwise}}[/tex] O'(3, 4)

The points L' and O' are colinear with the line x = 3, and the points M' and N' are colinear with the line x = 6

Therefore, the corresponding segment to the segment LO, L'O' lie on the the line x = 3, and the corresponding segment to the segment MN, M'N' lie on the line x = 6

The correct option is B. x = 6, and x = 3

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The perimeter of a concave polygon may be calculated by summing the lengths of all its sides.

A perimeter is a closed path that surrounds, encompasses, or outlines a two-dimensional shape or a one-dimensional length. The perimeter of a circle or ellipse is its circumference. The perimeter calculation has a variety of practical applications. The perimeter of an object is the distance surrounding it. Your house, for example, has a fenced-in yard. The perimeter of the barrier is its length. A perimeter is the distance between the edges of a two-dimensional form. It is sometimes defined as the total of the object's side lengths. The perimeter of a shape is the algebraic sum of its side lengths. We have equations for the various forms in geometry.

Here,

The perimeter of a concave polygon may be calculated by summing the lengths of all its sides.

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You are  57 years old if 400 reduced by one half must subtracted from 257 is your age in the given arithmetic problem.

Mathematical arithmetic, which includes operations on numbers, is its foundation. Addition, subtraction, multiplication, and division are among these operations. The foundation of the subject "Maths" is laid by one of the crucial branches of mathematics: arithmetic.

Despite the fact that the subject involves numerous other modified operations, addition, subtraction, division, and multiplication are the three basic operations under the heading of arithmetic.

Let your age be x

[tex]$x=257-400\frac{1}{2}[/tex]

x = 257 - 200

x = 57

Hence, your age is 57 years old.

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Answer:

7 busses

Step-by-step explanation:

3.52bags will be filled completely with 7/8 lb of granola and 1/4 lb of granola

Word Problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols. Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.

To get the number of bags, we simplify and use the quotient, that is:

We divide the quantity of granola over the number of bags

=(7 / 8 pounds) / (1 / 4 pounds)

=0.88/0.25

= 3.52 bags

Hence, The number of bags that will be filled completely is 3.52 bags

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The probability that a randomly selected bird is a parakeet given that it is green is 54.1%.

The area of mathematics known as probability explores potential outcomes of events, along with the likelihoods and distributions of those occurrences.

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Probability is a measure of the likelihood that an event will occur or the likelihood that something will happen. The likelihood that the coin will land with the heads side up after being tossed into the air is described using the word probability.

Let,

A be the  Parakee

B be the Green

To find the probability that a randomly selected bird is a parakeet given that it is green.

That means P(A|B)

The number of birds that are both parakeet and green is n(A∩B)=20

The number of birds that are green is n(B)=37

Hence, using the conditional probability formula P(A∣B) = [tex]\dfrac{n(A\bigcap B}{n(B)}[/tex]

P(A∣B) = [tex]\dfrac{n(A\bigcap B)}{n(B)}[/tex]

P(A∣B) = 20/37

P(A∣B) = 20/37 × 100%

P(A∣B) = 54.1%

Thus, the probability that a randomly selected bird is a parakeet given that it is green is 54.1%.

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The point-slope equation of the line for the given slope and coordinates is found as : y = -3x - 16.

For the stated question.

The slope of the line m = -3.

Coordinates = (5,-7)

The general point-slope equation is given as:

y - y1 = m (x - x1)

y - 5 = -3(x + 7)

y - 5 = -3x - 21

y = -3x - 16

Thus, the point-slope equation of line for the given slope and coordinates is found as : y = -3x - 16.

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