x+9+18=0 formula for the quadratic equation

One of the fundamental aspects of geometry is the construction of angles.

A shape known as an angle is created by two rays that have a common point (called a vertex). A protractor can be used to create a variety of angles. There are also ways to construct some angles without using a protractor, including 60°, 30°, 120°, 90°, and 45°. As a result, these angles can be created using a ruler and compass.

In geometry, construction is a key topic where we learn to construct angles, lines, and various shapes. We will learn how to create angles in this post using a protractor, compass, ruler, and pencil.

To draw an angle of 15 degrees using a pair of compass and ruler, follow these steps:

Place the point of the compass on the point where you want the vertex of the angle to be.

Adjust the compass to the desired width of the angle's rays.

Draw an arc that intersects both rays of the angle.

Using the ruler, draw a line from the vertex of the angle to the point where the arc intersects one of the rays.

Repeat step 4 for the other ray.

You should now have a 15-degree angle.

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Answer: Here's my work :)

Answer:

  5w +3

Step-by-step explanation:

You want the difference between (8w+5) and (3w+2).

The difference is found by subtracting 3w+2 from 8w+5:

  (8w+5) -(3w+2)

  = 8w + 5 - 3w - 2

  = (8 -3)w +(5 -2)

  = 5w +3

The difference is 5w+3.

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Answer:

15.26 cm

Step-by-step explanation:

The given triangle is a right angled triangle, with perpendicular and base as 13cm and 8cm respectively, we need to find out y which is hypotenuse.

From Pythagoras theorem,

[tex]\implies \rm h^2=p^2+b^2\\ [/tex]

[tex]\implies \rm h =\sqrt{(13cm)^2+(8cm)^2}\\ [/tex]

[tex]\implies \rm h =\sqrt{169cm^2+64cm^2}\\[/tex]

[tex]\implies \rm h = \sqrt{ 233}=\boxed{15.26\ cm } [/tex]

and we are done!

-Rishabh

On solving the provided question, we can say that from the graphs we have the following equation -  [tex]6x^2 = y +7[/tex] => x = +6, -6

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

here,

from the graphs we have the following equation -

[tex]6x^2 = y +7[/tex]

y = -1

x^2 = 36

x = +6, -6

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Correct option is B, the solutions to the equation are x = -0.6, x = 1.5, and x = 2.1. Following is the graph.

The three most popular types of graphs are bar graphs, circle graphs, and line graphs. Different sorts of graphs can be used to display various types of data.

A graph is a visual representation or diagram that displays facts or values in an organized manner in mathematics. The points on a graph are typically used to depict the relationships between two or more things.

Common graph types include line graphs, bar graphs, pie charts, scatter plots, and histograms. Graphs are an excellent tool for visualizing data and presenting statistics.

As, we can see from the graph that option B satisfies the graph.

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The graph that represents a function is the one that does not have any vertically aligned points.

A relation represents a function when each input value is mapped to a single output value.

On a graph, it means that a vertical line traced on the function would never cross the graph more than once, which means that the graph does not contain any vertically aligned points.

The problem is incomplete, hence the procedure to verify if a graph represents a function is presented.

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Answer:I believe B

Step-by-step explanation:

Answer:

To find the exact value of csc(theta) in simplest radical form, we first need to determine the coordinates of the point on the terminal side of the angle in standard position.

Since the terminal side passes through the point (-2,1), we know that the point is on the line y = 1. To find the exact value of csc(theta), we need to find the distance between the point (-2,1) and the origin (0,0). This distance is given by the expression sqrt((-2)^2 + 1^2) = sqrt(5).

Therefore, csc(theta) = 1/sin(theta) = 1/sqrt(5)

Step-by-step explanation:

Answer:You draw from top to bottom

The pack with 55 paper plates that costs $4.40 is a better buy that the pack with 85 paper plates which costs $8.08.

We must utilize the unitary method in this elementary algebra issue, which is nothing more than figuring out the price per plate in both of the cases. The cost per plate for the $8.08 box of 85 paper plates must now be determined. As a result, since 85 plates cost $8.08, 1 plate must cost $8.08/85, or around 9.5 cents per plate. When we repeat the job for the second scenario, we see that 55 plates cost $4.40, making 1 plate cost $4.40/55, or 8 cents per plate. Now that each plate costs less in the second scenario, it turns out to be a superior purchase.

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The range of value of x in the inequality x/7 ≥ -6 is x≥ -42

Inequality, is a statement of an order relationship. Some terms used in inequality are ,greater than, greater than or equal to, less than, or less than or equal to. They are used between two numbers or algebraic expressions.

greater than has the sign >

greater than or equal to has the sign ≥

less than has the sign < and

less than or equal to has ≤

solving the range of value of x in the inequality x/7 ≥- 6

multiply both sides by 7

x ≥ -42

Therefore the range of value of x is x ≥ -42

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a) The upper bound for the perimeter of the rectangle is 42.4 m.

b)The lower bound for the area of the rectangle is 83.21 cm².

We have, The lengths of the rectangle have been measured to the nearest tenth of a metre. So, degree of accuracy of measurements = 1/10 m = 0.1 m

We need to work out the upper and lower bounds for each side, when side length = 15.8 m and width = 5.2 m

Upper bound of length = 15.8 + 0.1

= 15.9 m

Lower bound of length = 15.8 - 0.1 = 15.7

Upper bound of width = 5.2 + 0.1 = 5.3

Lower bound of width = 5.2 - 0.1 = 5.1

For lower bound of Area :

We know the area of a rectangle is equals to product of width and length, so for the upper bound for the area we multiply the lower bound fo width and the lower bound of length together:

So lower bound of Area of rectangle

= 15.7× 5.1 = 83.21 cm²

For upper bound of Perimeter :

We know that the perimeter of rectangle is equals to two times of sum of each side of the rectangle, so for the upper bound for the perimeter we use the upper bound of each side:

2( 15.9 + 5.3) = 2× 21.2 = 42.4 m

Hence, the required area is 83.21 cm² and perimeter 42.4 m .

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The equation of the line that passes through the point (3,-7) and has a slope of -4/3 is 4x + 3y + 9 = 0.

In the given question, we have to find the equation of the line that passes through the point (3,-7) and has a slope of -4/3.

A point on the line and the slope of the line are required in the point-slope version of the equation of a line. (X(1), Y(1)) serves as the line's reference point, and its slope is m. Consequently, the line equation is as follows.

(y - y(1)) = m(x - x(1))

From the given question, the value of m = -4/3 and x(1) = 3, y(1) = -7

Now putting the value in the formula

(y - (-7)) = -4/3(x - 3)

(y + 7) = -4/3(x - 3)

Multiply by 3 on both side, we get

3(y + 7) = -4(x - 3)

Now simplifying using the distributive property

3y + 21 = -4x + 12

Subtract 21 on both side, we get

3y = -4x - 9

Add 4x + 9 on both side, we get

4x + 3y + 9 = 0

Hence, the equation of the line that passes through the point (3,-7) and has a slope of -4/3 is 4x + 3y + 9 = 0.

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The complete question is:

What is the equation of the line that passes through the point (3,-7) and has a slope of -4/3?

Answer: 2.6

Step-by-step explanation:

1.25 + 1.35 = 2.6

Answer:

1.25+1.35=2.6

Step-by-step explanation:

The equation of the perpendicular line will be y = -(2/3)x + c and y = -(4/6)x + c. Then the correct options are A and E.

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation is given below.

y + 2 = (3/2)(x + 4)

The equation of the perpendicular line is given as,

y = -(2/3)x + c

y = -(4/6)x + c

The equation of the perpendicular line will be y = -(2/3)x + c and y = -(4/6)x + c. Then the correct options are A and E.

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The complete question is given below.

-1/3 is the multiplicative inverse of -2 1 3

The multiplicative inverse of a number is the number that, when multiplied by the original number, equals 1. This concept is also sometimes referred to as the reciprocal of a number.

For example, the number 2 has a multiplicative inverse of 1/2 because 2 * (1/2) = 1. Similarly, the number 3 has a multiplicative inverse of 1/3 because 3 * (1/3) = 1.

It's important to note that not all numbers have a multiplicative inverse. For example, 0 does not have a multiplicative inverse because any number multiplied by 0 is 0.

In the case of -2 1 3, its multiplicative inverse is -1/3. This can be verified by multiplying -2 1 3 by -1/3:

(-2 1 3) * (-1/3) = - (2/3) = -2/3 + 1/3 + 2/3 = 1

So, -1/3 is the multiplicative inverse of -2 1 3

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Answer:

39 units^2

Step-by-step explanation:

Since the polygon is not a regular polygon, but a composite polygon, we can split the polygon up and solve the area of each part and add them up.

We can split the polygon into three shapes as shown in the picture below.

And we solve for the area of each shape.
Top left triangle:

[tex]Area=\frac{1*3}{2} \\Area=\frac{3}{2}\\Area=1.5[/tex]

Lower left triangle:

[tex]Area=\frac{3*5}{2} \\Area=\frac{15}{2}\\Area=7.5[/tex]

Rectangle:

[tex]Area=5*6\\Area=30[/tex]

Finally, add the areas up:

[tex]Area=1.5+7.5+30\\Area=39[/tex]

Answer:

B) 5m, 12m, 18m

On a graph, the y-intercept can be found by finding the value of y when x=0. This is the point at which the graph crosses through the y-axis.

Now, According to the question:

How do you find the B intercept form?

y = mx + b is the slope intercept form of writing the equation of a straight line. In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line.

y = mx + b is the slope-intercept form of the equation of a straight line. In the equation y = mx + b, m is the slope of the line and b is the intercept. x and y represent the distance of the line from the x-axis and y-axis, respectively. The value of b is equal to y when x = 0, and m shows how steep the line is.

On a graph, the y-intercept can be found by finding the value of y when x=0. This is the point at which the graph crosses through the y-axis.

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Pallavi should generate her hypothesis before conducting her study.

A hypothesis is a statement that predicts the relationship between two or more variables. It serves as a guide for the research and allows Pallavi to focus her study on a specific question or problem. In this case, her hypothesis should state her prediction about the relationship between wearing a seat belt and the extent of injuries in automotive accidents.

For example, her hypothesis could be "Wearing a seat belt will significantly reduce the extent of injuries in automotive accidents." This hypothesis can then be tested and supported or disproved through her research. It's important for Pallavi to generate a clear and testable hypothesis so that she can conduct a valid study with accurate results.

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Answer: 945

Step-by-step explanation: f(x)=35(x+16)

                                             f(11)=(11+16)

                                                    =35 * 27

                                                    =945

4 jars Lorraine can fill with tomatoes as in step with the given unit conversion.

The same attribute is expressed using a unit conversion but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.

Given this, Lorraine prepared a 1.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.5 quarts of tomatoes

Since 1 gallon is equal to 4 quarts.

Total tomatoes Lorrain has = 1.5 gallons = 1.5 * 4 quarts

Total tomatoes Lorrain has = 6 quarts

Since one jar can only fit 1.5 quarts of tomatoes

Thus,

the number of jars that can be filled = 6/1.5 = 4

Therefore, 4 jars Lorraine can fill with tomatoes as per the given unit conversion.

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The statement that are true for the table are :

The aquarium initially contained 60 gallons .

The aquarium drains at the rate of 2.5 gallon per minutes.

The statement/equation that is false for the table is y = 2.5x + 60.

Hanna works at an aquarium and needs to drain the seahorse tank for cleaning.

The gallons of water in the tank based on the number of minutes it has be draining is shown in the table.

Therefore, let's represent it in slope intercept form.

y = mx + b

where

Hence, using (0, 60) and (4, 50)

m = 50 - 60 / 4 - 0 = - 10 / 4 = -2.5

Therefore,

y = -2.5x + b

y = -2.5x + 60

Therefore,  y = 2.5x + 60 is not the true equation.

The aquarium initially contained 60 gallons is a true statement.

The aquarium drains at the rate of 2.5 gallon per minute is true.

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The dimension of the shipping box is : 6 , 7 and 2 ft.

Now, According to the question:

The given information is:

Width of shipping box is x

Length of shipping box is x+1

Height of shipping box is x-4

The volume is 84 cubic ft.

To find the dimensions of the box in feet.

The volume of a box is = width × length × height.

Plug all the values in above formula:

84 cubic ft. = x(x + 1) (x - 4)

84 cubic ft. = (x)(x+1)(x-4) = [tex](x)[/tex][tex](x^2-3x-4)[/tex] = [tex]x^3 - 3x^2 - 4x.[/tex]

Next, think of the factors of 84. 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.

The value is x = 6.

Put the value x = 6

(6)(6+1)(6-4) = (6)(7)(2) = 84 cubic ft.

Hence, The dimension of the shipping box is : 6 , 7 and 2 ft.

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The complete question is this:

The dimensions in inches of a shipping box can be expressed as width x, length x+1, and height x-4. The volume is 84 cubic ft. Find the dimensions of the box in feet.

angle in triangle= 180

4 + 7+7= 18

180/18 = 10

10 = 1 part

smallest = 4 parts

10x4= 40

so answer is 40

Answer:

  (a)  40°

Step-by-step explanation:

You want the measure of the smallest angle in a triangle whose angle measures have the ratios 4 : 7 : 7.

We notice that the sum of the numbers in the ratios is 4+7+7 = 18, so multiplying by 10 will make the sum equal to 180, the number of degrees in a triangle.

  4 : 7 : 7 = 40 : 70 : 70

The smallest angle is 40°.

__

Additional comment

The other two angle measures are 70°.

The number of hours it will take for both candles to be at the same height if the two candles were lit at the same time is 20 hours.

let

Number of hours = x

Candle A:

11 - 0.45x

Candle B:

7 - 0.25x

Equate both expressions

11 - 0.45x = 7 - 0.25x

11 - 7 = -0.25x + 0.45x

4 = 0.20x

divide both sides by 0.20

x = 4/0.20

x = 20 hours

Hence, both candles will be at equal height at 20 hours.

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The line y = mx + 4 has a slope of 2 and it is y = 2x + 4.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

We know lines parallel to each other have the same slope.

We also know, slope(m) = (y₂ - y₁)/(x₂ - x₁).

Slope(m) = (6 + 2)/(5 - 1).

slope(m) = 8/4.

slope(m) = 2.

So, The line y = mx + 4 is, y = 2x + 4.

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The bond would be worth amount of $1,000 when it matured after 20 years, since it pays a 6% annual yield, which means it will double in value over the 20-year period.

500 x (1 + 0.06) ^ 20 = 1000

500 x 3.51 = 1,755

1,755 - 500 = 1,255

1,255 / 2 = 627.5

627.5 + 500 = 1,127.5

1,127.5 x 2 = 2,255

2,255 - 1,755 = 500

500 x 2 = 1,000

The bond is worth $500 when Kent buys it at 22 years old, and will pay a 6% annual yield. This means that the value of the bond will double over the 20-year period. To calculate the value of the bond at maturity, we need to use the formula: 500 x (1 + 0.06) ^ 20 = 1000. This means that the bond will be worth $1,000 when it matures 20 years later. We can also arrive at this result by breaking down the calculation into smaller steps. First, we multiply the initial bond value by the interest rate (500 x 1.06) to get the value after one year. Then, we repeat this step for the remaining 19 years (500 x 3.51) to get the total value after 20 years (1,755). We then subtract the initial bond value (500) from this to get the total interest earned (1,255). We then divide this interest by two (627.5) and add it to the initial bond value (500) to get the value after 20 years (1,127.5). We then multiply this by two (2,255) and subtract the total interest earned (1,755) to get the final value (500). This is double the initial bond value, so the bond will be worth $1,000 when it matures.

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The reaction time for Joyce is given by the equation J = -0.1 seconds

The reaction time for Felix is given by the equation F = -0.4 seconds or 0.2 seconds

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the reaction time for Joyce is given by the equation J

Let the reaction time for Felix is given by the equation F

The average reaction time = 0 seconds

Now , the value of J = 0.1 seconds below the average reaction time

So , substituting the values in the equation , we get

The reaction time for Joyce J = 0 - 0.1 = -0.1 seconds

And ,

The difference between the reaction time of Joyce and Felix = 0.3 seconds

So , substituting the values in the equation , we get

J - F = 0.3

-0.1 - F = 0.3

Adding F on both sides of the equation , we get

F + 0.3 = -0.1

Subtracting 0.3 on both sides of the equation , we get

F = -0.4 seconds

And , F - J = 0.3

So , F - ( -0.1 ) = 0.3

F = 0.2 seconds

Hence , the reaction time for Felix is -0.4 seconds or 0.2 seconds

The graph is plotted below

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On solving the provided question, we can say that the required expression is   " 76 + c; 76 + (–8) = 68; 68°F ".

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.

the required expression is

C. " 76 + c; 76 + (–8) = 68; 68°F ".

If 76 is the starting point or current temperature, then c would be the temperature change that occurred. The negative symbol on 8 indicates that there will be a decrease of 8 degrees, which will be experienced.

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