Triangle with the coordinates , , and is translated 2 units left and 4 units up. What is the y-coordinate for point ?.

Let's consider what the question asks for:

 --> value of y when x = 45

In the equation: we need to find the value of 'a' and 'b'

 --> lets plug our other known value to find 'a' and 'b'

      --> let's use the value of x = 90 and y = 4

          --> as cos(x) will equal zero and we can find the value for 'b'

                        [tex]y=a*cos(x)+b\\4=a*cos(90)+b\\4=0+b\\b=4[/tex]

      --> having found 'b', let's find 'a' with any other set of value

           --> lets use y = 10 when x = 0

                       [tex]10=a*cos(0)+4\\10=a*1+4\\10=a+4\\a=6[/tex]

Having found 'a' and 'b':

  --> let's plug in 'x = 45' in the equation to find its corresponding y-value

          [tex]y=6*cos(45) +4\\\\y = 6 * \dfrac{\sqrt{2} }{2} +4= 4 + 3\sqrt{2}[/tex]

Thus the value of y, when x = 45

   ==> Answer:

                       [tex]4 + 3\sqrt{2}[/tex]

the Answer  is   u=-5  

am not smart

Rearrange the equation.

4u +2u - 7 = 8u + 3

Combine like terms.

6u - 7 = 8u + 3

Add 7 to both sides.

6u = 8u + 10

Subtract 8u from both sides.

-2u=10

Now divide both sides by -2.

u= -5

The domain of the graphed function is:

D: x ≥ 2

For a function y = f(x), we define the domain as the possible inputs, this is, the possible values of x.

To find the domain, we need to look at the horizontal axis, we can see that the minimum is the leftmost value, which is (2, 3), and it is marked with a  colored dot, so the value x = 2 belongs to the domain.

Then, the line extends to the right side, so the domain is the set of all real values larger than x = 2

The domain is:

D: x ≥ 2

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While the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it .

Due to its three sides and three vertices, a triangle is a polygon. One of the fundamental geometric forms, it. Triangle ABC is the designation given to a triangle with vertices A, B, and C. In Euclidean geometry, when the three points are not collinear, a distinct plane and triangle are found. As a polygon, a triangle has three sides and three corners. The places where the three sides converge are referred to as the triangle's corners. Combining three triangle angles yields a result of 180 degrees.

given

While the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it, the interior angles of a triangle always add up to 180°.

By deducting the angle of the target vertex from 180°, one can also determine a triangle's exterior angle. In a triangle with three angles of 30°, 60°, and 90°, the hypotenuse is twice as long as the shorter leg and three times as long as the latter.

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Check the picture below.

The length of FG = (7/18) x 2π(√(28π))/(√140).

Length is a measurement of a distance, size, or quantity. It is usually measured in units such as meters, feet, or miles, but can also refer to an amount of time. Length is a fundamental concept in mathematics and is used for a variety of purposes in the natural and social sciences. In physics, length is related to energy, momentum, and the speed of light. In geometry, length is a measure of the distance between two points on a line or plane. Length also plays an important role in everyday life, from measuring the size of a room to calculating the time it takes to get from one place to another.

Let G be the center of the circle and the radius be ‘r’.

The arc length FG = (140/360) x 2πr = (7/18) x 2πr

Area of sector = (1/2) x r² x θ = 14π

Therefore, r² θ = 28π

Therefore, r² = (28π)/θ

Substituting the value of θ = 140° in the above equation,

r² = (28π)/140

Therefore, radius, r = (√(28π))/(√140)

Therefore, length of FG = (7/18) x 2πr = (7/18) x 2π(√(28π))/(√140)

Hence, the length of FG = (7/18) x 2π(√(28π))/(√140).

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Answer:

/_A+/_C

48°+63°=101°

180°-101°=79°

/_ B=79°

Note that the answer choice that are included in the steps to organize information are:

A. Organizing the problem and determining the question is an important step in problem-solving because it allows you to comprehend the problem and what you need to discover.

C. Writing down the facts, organizing your thoughts, and defining your strategy is also an important step in problem-solving because it allows you to see what information you have and how you will approach the problem.

D. Organizing the steps and underlining the question is also important in problem-solving because it allows you to have a clear understanding of the various steps you must take and the question you must answer.

B. Although it is not included in the steps to organize your information, solving the problem and changing your strategy if necessary is an important step.

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Full Question:

The problem-solving plan identifies steps to organize your information. Which of the following answer choices are included in the steps to organize your information?

A. Organize the problem and find the question.

B. Solve the problem and change your strategy if necessary.

C. Write the facts, organize your thoughts and define your strategy.

D. Organize the steps and underline the question.

The value of x is 6 and the length of each diagonals is 41 units.

In the given question, we have to find the value of x and the length of each diagonal.

The given length of rectangle LMNP is:

LN=4x+17...............(1)

MP=8x-7...............(2)

As given the question,

MP = LN

8x-7 = 4x+17

Add 7 on both side. we get

8x = 4x + 24

Subtract 4x on both side, we get

4x = 24

Divide by 4 on both side, we get

x = 6

Now putting the value of x in the value of LN and MP

LN = 4(6) + 17

LN = 24 + 17

LN = 41 units

MP = 8(6) - 7

MP = 48 - 7

MP = 41 units

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Based on the values in the table represent a linear function, the common difference of the associated arithmetic sequence is 15.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ = a₁ + (n - 1)d

Where:

Based on the information provided in the given table, we can calculate the common difference by subtracting the first term from the second term as follows;

Common difference, d = a₂ - a₁ = a₃ - a₂

Common difference, d = 23 - 8 = 38 - 23

Common difference, d = 15.

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Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols. It is a unifying thread of almost all of mathematics and includes everything from solving elementary equations to studying abstractions such as groups, rings, and fields.

In more formal terms, algebra is the study of mathematical structures that consist of a set of elements and one or more operations defined on those elements, satisfying a set of axioms. These structures include groups, rings, fields, and vector spaces. Algebra also includes the study of algorithms for solving equations and constructing new mathematical objects from given ones.

With the use of mathematical expressions, algebra is the area of mathematics that helps to depict situations or problems. We employ integers that have a fixed or definite value in algebra, such as 2, 7, 0.068, etc. In addition to using numbers, algebra also makes use of variables like x, y, and z.

A meaningful mathematical expression is created by combining mathematical operations such as multiplication, division, addition, and subtraction.

Algebraic calculations usually make use of additional signs and symbols.

Less than (>), greater than (>), equal to (=), not equal to (), less than (>), and equal to (>) are all acceptable terms.

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There is one right angle in the L angle.

A right angle is one that is 90 degrees in length. It is the most frequently encountered angle in our daily lives. It can be noticed in room corners, box edges, mobile phone screens, and so on.

A square's and a rectangle's sides always make a right angle with each other. It is represented in radians as /2.

The angle formed by two lines that are perpendicular to each other is called a right angle. A right angle is equal to 90° and is in the shape of the letter "L". In the following figure, ray AB and BC form a right angle ABC.

Thus, there is one right angle in the L angle.

Complete question: How many right angles are there in L angles?

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Answer:  C = - 2

Step-by-step explanation: Subtract 3c from 4c.

The graph of the function f(x)  = x² is illustrated below.

The term function is defined as a relation between a set of inputs having one output each.

Here we have the function f(x) = x².

In order to plot the graph, we have to do the following steps.

Steps 1 is first we have to labels the x and y axis on the graph.

Then the second steps is to mark the values on the graph.

And then the third step is to make the table of values for the function by using the sample values.

Here the table for the given function is attached below.

Finally, we have to plot the graph by using the table. Then we get the graph like the following.

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The solution set for a system of equations is the totality of all solutions.

A collection of values for the variable that simultaneously satisfy each equation in a system of equations is referred to as the solution. Finding all the sets of variable values that make up the system's solutions is necessary to solve a system of equations.

The collection of all solutions is known as the solution set for a system of equations. Finding every answer using formulas containing a certain number of parameters is the definition of system solving.

Equations that are dealt with all at once as a "system" are a set or group of equations. The simplest linear system is one with two equations and two variables. Linear equations are simpler than non-linear equations (those that graph as straight lines).

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The process of gathering similar phrases and adding them is known as addition of algebraic expressions. To determine the final expression for the above problems, locate, add, and sum the coefficients of similar terms.

3a + 2a - 5b - 3c, 5a + 7b - 6c + b + 2c, and 2c + b.

6c + 2c - 3c. 5a - 3a + 2a + 7b + b.

4a + 3b – 7c.

5a + 7b – 6c, - 3a + b + 2c, 2a - 5b - 3c

+ 5a + 7b - 6c - 3a + b + 2c + 2a - 5b - 3c

4a + 3b – 7c

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If two parallel lines have slopes of m(1) and m(2), and if it is known that both lines are perpendicular, then we get m(1) = m(2).

The slope of parallel lines is the same. Since all of the parallel lines are similarly inclined with respect to the positive x-axis, their slopes are also identical. When two parallel lines' slopes are written as m(1), m(2), we get m(1) = m(2).

Equal coefficients for x and y are present in the equations that represent parallel lines. ax + by + c(2) = 0 is the line parallel to ax + by + c(1) = 0. According to observation, the coefficients of x and y in both equations are equivalent.

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The best explanation is, 2.The result will always be the same because a solution obtained by graphing is always located on a grid line

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.

Solving a system of linear equations by graphing will result in the same solution as solving by substitution as graphing answer is always found on a grid line, hence the outcome will always be the same.

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Answer:

Step-by-step explanation:

145

Answer: The value of f(-1) is equal to 5(-1)^2 + (-1) + 4 = -5 + (-1) + 4 = -2

Step-by-step explanation:

To evaluate f(-1), we substitute -1 for x in the function f(x)=5x^2+x+4. This gives us f(-1)=5(-1)^2+(-1)+4. We simplify this by applying the exponent first, so (-1)^2=1. Then we substitute the result in the function, which gives us f(-1)=5(1)+(-1)+4. Now we can simplify it by adding and subtracting the values which gives us f(-1)=5+(-1)+4=8.

Mile/minute unit rate is represents the faster car.

A common unit of measurement is the mile (mi). It is typically used it to represent the distance among cities, the length of rivers, and the distance between roadways. The letter "mi" stands for the unit mile in writing. Therefore, a marathon race would be roughly 26.3 mile or 26.3 mi in length.

How are miles measured?

Any point on the map that's not a location's name or emblem should be touched and held.

Count the distance between two points.

The total mileage in mile and km is shown at the bottom (km).

You can add several points, as a tip.

Tap Undo to take away the most recent addition you made. Tap More in the top right corner to erase every point. Clear.

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Distance 10(miles) Which unit rate represents the faster car? Time(minutes)

The inequality a ≤ 10 means all numbers that are less than or equal to 10 on the number line.

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

The number line contains numbers being marked at regular intervals. The integers are placed at equal intervals.

An inequality is an expression that is used to show the non equal comparison of numbers and variables.

The inequality a ≤ 10 represents all numbers that are less than or equal to 10.

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The value of AC and BC are AC = 6.58 and BC = 2.39.

What is trigonometric ratio?

The trigonometric functions in mathematics are real functions that relate the angle of a right-angled triangle to the ratios of the lengths of the two sides. All geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many others, use them extensively.

From the given diagram we have to find the value of BC and AC.

First to find the value of AC.

Consider, the trigonometric ratio

    sinθ = [tex]\frac{AC}{AB}[/tex]

sin(70°) = AC / 7

      AC = sin(70°)*7

     AC = 6.58

Now to find the value of BC.

Consider, the trigonometric ratio

cos(70°) = BC / AB

cos(70°) = BC / 7

       BC = cos(70°)*7

       BC = 2.39

Hence, the value of AC and BC are AC = 6.58 and BC = 2.39.

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Other than itself, ∠FGE is an angle that is congruent to ∠FGB.

Angles that are congruent with one another include two or more angles. This means that the dimensions of these angles are same. Angles can be acute, obtuse, exterior, or interior, and the congruence of angles is unaffected by their type. Congruent angles aren't always supplementary angles, in general. Angles must be complementary in order for the sum to be 180. Since right angles and supplementary angles have the same measure and sum up to 180, they are the only angles that can be said to be congruent.

Because ∠FGE and ∠FGB are supplementary angles, so they add up to 180 degrees. Because angle ∠FGE is 90 degrees, or a right angle, that means ∠FGB must also be 90 degrees. This makes them congruent.

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The total surface area of the rectangular prism in square centimeters is c) 160 cm².

The surface area of a cuboid is the total area of all of the faces of a prism.

If, the length (l), width (w), and height (h) of the prism

then, use the formula: surface area (SA)=2lw+2lh+2hw.

here, we have,

The formula for the Surface Area of a rectangular prism is,

A=2(wl + hl + hw)

given that,

Length = 10cm

Width = 5cm

Height = 2cm

Hence:

Area =2× (5 × 10 + 2 × 10 + 2 × 5) cm²

       = 2 × ( 50 + 20 + 10) cm²

       = 2 × (80) cm²

       = 160 cm²

The total surface area of the rectangular prism in square centimeters is 160.

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The slope of function f is - 1 and the y-intercept of f is 4.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Let Two points on the function f are (-1, 5) and (0, 4).

Now,

Since, The equation of line passes through the points (-1, 5) and (0, 4).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (4 - 5) / (0 - (-1))

m = - 1 / 1

m = - 1

Thus, The equation of line with slope - 1 is,

⇒ y - 5 = -1 (x - (-1))

⇒ y - 5 = - 1 (x + 1)

⇒ y = - x - 1 + 5

⇒ y = - x + 4

By comparing with the equation of line y = mx + b, we get;

The y-intercept of f = 4

And, The slope = - 1

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Answer:

The lowest comman multiple of 54 and 240 is 6.

Answer:

6

Step-by-step explanation:

Since 54= 2x3x3x3 and 240=2x2x2x2x3x5, the LCM is 2x3=6

Answer: 0.33

Step-by-step explanation:

You get 0.33 repeating

Answer:

1/3

Step-by-step explanation:

0.5 divided by 1.5 can also be written as 1/2 divided by 3/2.

So lets rewrite it like this:

(1/2)/(3/2)

From here there are two ways we can solve this. One is to multiply by the reciprocal:

(1/2) × (2/3)= 2/6

which simplifies to 1/3 as your final answer.

The other method is to "oreja"

you multiply the top most number and the bottom most number together and then the two middle ones like so:

(1/2)/(3/2) -> (1×2)/(2×3)

which is 2/6 once again and simplifies to 1/3 the final answer.

Answer:

If someone get a 150% salary raise, it means that the current salary will be increased by 1.5 (150/100) from the current amount.

To demonstrate this, let's assume that someone's salary is $1000, if we increase it by 150% we must calculate 150% of $1000.

[tex]1000*150\%=1000*\frac{150}{100} =1500[/tex]

150% of $1000 is $1500, since the person wll get a 150% salary raise, it means that the actual salary INCREASES that value, the final salary of a person will be:

Final salary = previous salary + amount of increase

Final salary = $1000 + $1500

Final salary = $2500