How many solutions exist for the system of equations graphed below?


none
one
two
infinitely many

The value for x is 10; the perimeter is 56 inches; a possible area the area is 7 square feet (option c); and a possible perimeter is 25 m (option a).

To find the correct value for x, let's replace the possible values and verify if the total is >11.

2x + 9

(2 x 0) + 9 = 0 + 9 = 9

(2 x -5) + 9 = -10 + 9 = 1

(2 x 10) + 9 =20 + 9 = 29

(2 x -8) + 9 = -16 + 9 = 7

Based on this, the correct value for x is 10

The perimeter of an octagon can be calculated using this formula:

8 x lengh of one side

8 x 7 inches =  56 inches

The area of a shape is calculated by multiplying side x side. Due to this, areas are always expressed using square meters, square feet, square kilometers, etc. Based on this principle, a possible area is 7 square feet (option c).

The perimeter is found by adding the lengh of all the sides in a shape. Due to this, it is expected a perimeter is expressed in meters, kilometers, centimeters, etc. Based on this a possible perimeter is 25 m (option a).

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Answer:

100 ft^2

Step-by-step explanation:

first we can make this a complete rectangle that is 10 by 12

so we find the area of it

10x12

120

now we have to subtract the triangle from it

we first find the area of the missing piece using triangle formula

bxh/2

the base is 10 and height is 4

10x4/2

40/2

20

now we subtract the area of the triangle from the area of the rectangle

120-20

100 ft^2

hopes this helps

Answer:

  Here, we use an underscore preceding the repeating digit(s).

  1/3 = 0.3_3

  1/6 = 0.16_6

  1/7 = 0.142857_142857

  1/9 = 0.1_1

Step-by-step explanation:

You want the four largest unit fractions that are repeating decimals, and their decimal equivalents.

The decimal equivalent of a fraction will repeat if the denominator of that fraction has factors other than 2 and 5.

A fraction with a given numerator will be larger if its denominator is smaller.

The fractions of interest will have denominators that are the smallest integers greater than 1 that have factors other than 2 and 5. Consider the integers:

  2 . . . . factor is 2

  3 . . . . suitable denominator

  4 = 2² . . . . factors are 2

  5 . . . . factor is 5

  6 = 2·3 . . . . suitable denominator

  7 . . . . suitable denominator

  8 = 2³ . . . . factors are 2

  9 = 3² . . . . suitable denominator

Using an overline to signify the repeating digits, the fractions of interest are ...

  [tex]\dfrac{1}{3}=0.\overline{3}\\\\\text{ }\dfrac{1}{6}=0.1\overline{6}\\\\\dfrac{1}{7}=0.\overline{142857}\\\\\text{ }\dfrac{1}{9}=0.\overline{1}[/tex]

__

Additional comment

The number of repeating digits may be as many as one less than the denominator. This is the case for 1/7, which has 6 repeating digits. 1/17 is another example, with 16 repeating digits.

The four unit fraction that has its numerator as 1 and a repeating decimal is

A repeating decimal are also called recurring decimal, is a time of decimal number with only digits that repeat after the decimal at regular intervals.

In mathematics, a repeating decimal is written in short form with an overline on the number that repeats

In the problem, the repeating fraction requires to have a unit numerator and the greatest. from knowledge of fractions, the ones with lesser numerators are the greatest.

The greatest is 1/3 = 0. 333.....

others are

1/6 = 0.166.....

1/7 = 0.142957142957.......

1/9 = 0.111111.........

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Answer

6

because, 96 / 14 is 6.8

so unless you round it to 8 it should be 6

Answer: k = 5/3

Step-by-step explanation:

    To solve, we will isolate the variable, k, by using inverse operations.

   Given:

2/5k + 1/6 = 3/10k + 1/3

   Subtract 1/6 from both sides of the equation:

2/5k = 3/10k + 1/6

   Subtract 3/10k from both sides of the equation:

1/10k = 1/6

   Divide both sides of the equation by (1/10), which is the same as multiplying both sides by 10:

k = 5/3

Answer:

k=5/3

Step-by-step explanation:

2/5k+1/6=3/10k+1/3

Move the 3/10k to the left side with subtraction

1/10k+1/6=1/3

Move the 1/6 to the right with subtraction

1/10k=1/6

Divide the 1/10 from each side

Getting K=5/3

The solution is Option C.

The term that must be added to the equation x² - 8x = 9 is 16 and the equation will be ( x - 4 )² = 5²

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 equation be represented as A

Now , the value of A is

x² - 8x = 9   be equation (1)

( x - a )² = x² + a² - 2ax

So , 2ax = 8x

a = 4

So , the equation will be

( x - 4 )² = x² - 8x + 16

And , adding 16 on both sides of the equation (1) , we get

x² - 8x + 16 = 9 + 16

On simplifying the equation , we get

( x - 4 )² = 25

( x - 4 )² = 5²

Taking square roots on both sides of the equation , we get

x- 4 = 5

Adding 4 on both sides of the equation , we get

x = 9

Therefore , the value of x is 9

Hence , the number to be added to the equation is 16

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Answer:

Step-by-step explanation:

So 3 minus 7. 3 – 7 = -4 *just trust me on that one ;) So the difference of 3 and 7 is -4.

The inequality  which best represents her purchase is x + y > 12.

Equations and inequalities are both mathematical sentences formed by relating two expressions to each other.

When two expressions are equal, we use the equal sign ( = ). But when we are trying to compare two values or expressions, we use the inequality signs like greater than (>), less than (<), greater than or equal to ( ≥ ) and less than or equal to (≤)  .

If x represents the number of hand soaps and y represents the number of lotions she bought. And Gabriela bought more than 12 bottles of hand soaps and lotions

This means the sum of the bottles of hand soaps and lotions she bought is greater than 12. This can be written as follows:

x + y > 12

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Answer: $159.90

Step-by-step explanation:

Assigning a variable: V=Vegetable seeds   F=Flower seeds   T=Top soil

Assigning a value to each variable: V=1.5   F=2.2   T=12.1

The equation:

v(12)+f(15)+t(9)=

1.5(12)+2.2(15)+12.1(9)=

1.5*12=18   2.2*15=33   12.1*9=108.9

18+33+108.9=159.9

Total cost = $159.90

Hope this helps!

The given function table is found not to be a function.

A function is defined as a relation in which each possible input value leads to exactly one output value. That means that “the output is a function of the input.” Meanwhile, the input values make up the domain, and the output values make up the range.

Now, the coordinates from the given function table are as follows;

(2, 3)

(3, 3)

(4, 3)

(5, 3)

(6, 3)

This shows that all the range values are the same for different x-values and as such it doesn't fit the definition of a function as stated above.

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The expression ∛(t⁴m²) / (m³t) in the simplified form will be written as [tex]\rm \frac{t^{1/3}}{m^{7/3}}[/tex].

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ ∛(t⁴m²) / (m³t)

Simplify the expression, then we have

⇒ ∛(t⁴m²) / (m³t)

⇒ t∛(tm²) / (m³t)

⇒ ∛(tm²) / (m³)

Simplify the equation further, then we have

[tex]\rm \rightarrow \dfrac{\sqrt[3]{\rm tm^2} }{m^3}\\\\\rightarrow \dfrac{t^{1/3}m^{2/3}}{m^3}\\\\\rightarrow \dfrac{t^{1/3}}{m^{7/3}}[/tex]

The expression ∛(t⁴m²) / (m³t) in the simplified form will be written as [tex]\rm \frac{t^{1/3}}{m^{7/3}}[/tex].

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The new equations are:

a) g(x) = (1/2x)^(1/3)-3

b) j(x) = 2((x+4)^(1/3))

c) h(x) = (8x-24)^(1/3)

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The new equations are:

a) g(x) = (1/2x)^(1/3)-3

b) j(x) = 2((x+4)^(1/3))

c) h(x) = (8x-24)^(1/3)

A transformation function is a mathematical function used to transform a set of data points from one coordinate system to another. The transformation function takes the form of an equation that expresses a relation between two variables. It is commonly used in sciences such as physics and engineering to convert data from one coordinate system to another.

For example, if one measure the position of an object in Cartesian coordinates (x,y), the transformation function allows one to express the position of the same object in polar coordinates (r,θ). This can be written as: r = sqrt(x2 + y2); θ = arctan(y/x)

To write a new equation from a transformation function, one must first determine the desired coordinate system. Then, one can use the transformation function to find the relation between the two variables in the given coordinate system. For example, if one wants to express the position of an object in Cartesian coordinates from polar coordinates, the equation would take the form: x = r*cos(θ) ;    y = r*sin(θ)

This equation expresses the relation between the two variables in Cartesian coordinates. Then, one can use this equation to determine the position of any object in Cartesian coordinates given its position in polar coordinates.

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Answer: ≈425.39

Step-by-step explanation: First, let's recall the formula for finding the circumference of a circle with the area:

C = 2 [tex]\pi[/tex] r

So, let's set up our equation:

2·[tex]\sqrt{\pi 14,400}[/tex]

So, we need to multiply pi (3.14 [rounded]) by 14,400 and find the square root of that times 2.

We'd get about 425.39.

Angel should increase the dimensions of the deck by 5 feet each

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

Length = 20 feet

Width = 25 feet

So, the area is

Area = 20 * 25

Evaluate

Area = 500

When increased by 50%, we have

(20 + x) *(25 + x) = 500 * 1.50

Evaluate

(20 + x) * (25 + x) = 750

Express 750 as 25 * 30

So, we have

(20 + x) * (25 + x) = 25 * 30

This means that

20 + x = 25

25 + x = 30

Solve for x

x = 5 and x = 5

This means that

Increment = 5

Hence, the lengths should be increased by 5 feet

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The simplification of the given expression 6 + 8 / 2* | -3| + 7 is 25

The process of simplifying a complex expression with an equivalent, simpler one is known as simplification. There are several strategies for simplifying expressions, depending on the exact expression and what you are attempting to accomplish.

To simplify the given expression:

6 + 8 / 2* | -3| + 7

Divide 2 by 8 = 4

6 + 4 * |-3| + 7

Take the absolute value of |-3| = 3

6 + 4 + 3 + 7

= 25

Therefore, we can conclude that the simplification of the given expression is 25.

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Answer:

Area: T = 24

Perimeter: p = 24

Semiperimeter: s = 12

Step-by-step explanation:

We know the lengths of all three sides of the triangle, so the triangle is uniquely specified.

a=6

b=8

c=10

The triangle perimeter is the sum of the lengths of its three sides

p=a+b+c=6+8+10=24

The semiperimeter of the triangle is half its perimeter. The semiperimeter frequently appears in formulas for triangles to be given a separate name. By the triangle inequality, the longest side length of a triangle is less than the semiperimeter.

Heron's formula gives the area of a triangle when the length of all three sides is known. There is no need to calculate angles or other distances in the triangle first. Heron's formula works equally well in all cases and types of triangles.

Answer:

The first answer

Step-by-step explanation:

-7g(2g + 3)  Distribute the -7g

(-7g)(2g) + (-7g)(3)

-14[tex]g^{2}[/tex] - 21g

Answer:

Option A; [tex]-14g^{2}[/tex] - 21g

Step-by-step explanation:

Hope this helped! :D

The ratios in their simplest forms are 13:9 and 13:12 respectively and the two ratios are not proportional

You should understand that two ratios are proportional if their cross-product give the same result.

The cross product of two ratios entails multiplying the numerator of the first by the denominator of the second and the numerator of the second by the denominator of the first

a. Rewrite the ratio 26: 18 in simplest form.

This is expressed as follow = 26/2  : 18/2

= 13:9

b. Rewrite the ratio 39 : 36 in simplest form.

= 39/3 : 36/3

= 13 : 12

The corss product of the two ratios is

13/9 ≠13/12

this is because 156≠108

Conclusively, they are not proportional

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A right rectangular prism has a base of 20cm² and a height of 9.2cm will have a volume of  184 cm³

The right rectangular prism has four rectangle-shaped lateral faces, each of which is perpendicular to one of its bases, and two parallel end faces.

A non-right rectangular prism (oblique prism) has parallelograms for its faces. The term "cuboid" can also refer to a right rectangular prism.

In the given problem the formula used for volume of prism is

= are of base * height

= 20 * 9.2

= 184 cm³

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The number of times of Puerto Rico is 5/6

No earthquake released 10³ of Colombia

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

The table of values

On the table of values, we have

Colombia = 6.0M

Puerto Rico = 5.0M

This means that

Number of times = Puerto Rico/Colombia

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

Number of times = 5/6

Here, we have

Colombia = 6.0M

So, we have

Earthquake = Colombia * 10³

This gives

Earthquake = 6 * 10³

From the table of values, we have no entries with the readings 6 * 10³

Hence, no earthquake released 10³ of Colombia

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The measure of angle ABD of the described Isosceles triangles is; 115°

The parameters are;

Triangle ΔACD is Isosceles triangle

Triangle ΔBCD is Isosceles triangle

m∠BAC = 20°

m∠BDC = 25°

Whereby ΔBCD and ΔACD have their vertex in the same direction, we can have;

AD ≅ AC Given sides legs of triangle ACD

BD ≅  BC Given sides legs of triangle BCD

BA ≅ BA  Reflexive property

Therefore, we can say that;

ΔDAB ≅ ΔCAB  by SSS congruency rule

By the CPCTC (Congruent Parts of Congruent Triangles are Congruent), we can say that;

m∠BAC ≅ m∠BAD

Thus;

m∠BAC ≅ m∠BAD = 20°

Therefore;

m∠BAC + m∠BAD = 20° + 20°

m∠BAC + m∠BAD  = 40°

Thus, m∠DAC = 40°  by the Angle addition postulate

m∠ADC = m∠ACD = (180 - m∠DAC)/2

= (180 - 40)/2 = 70° This is because they are base angles of an isosceles triangle

∴ m∠ADC = m∠ACD = 70°

Similarly;

m∠BDC = 25° = m∠BCD Base angles of isosceles triangle ΔBCD

m∠BCD + m∠DBC + m∠BCD = 180° Sum of the interior angles of a triangle theorem

m∠DBC = 180° - (m∠BCD +  m∠BCD)

= 180° - (25° +  25°)

= 130°

m∠DBC = 130°

m∠ABD ≅ m∠ABC by CPCTC

m∠ABD = m∠ABC

Therefore;

m∠DBC + m∠ABD + m∠ABC = 360° Sum of angles at a point

m∠DBC + 2 × m∠ABD = 360°

130° + (2 × m∠ABD) = 360°

2 × m∠ABD = 360° - 130°

2 × m∠ABD = 230°

m∠ABD = 230°/2

m∠ABD = 115°

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Answer:

m = 3

Step-by-step explanation:

4 - - 2/ 3 - 1

m = 6/2

m = 3

The slope of the first and second lines will be - 3/2 and 3/5, respectively.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

The points are (1, 2) and (3, -1). Then the slope of the first line is given as,

m = (-1 - 2) / (3 - 1)

m = - 3 / 2

The points are (-3, 1) and (2, 4). Then the slope of the second line is given as,

m = (4 - 1) / (2 + 3)

m = 3 / 5

The slope of the first and second lines will be - 3/2 and 3/5, respectively.

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The required point is W.

What is the co-plaer and non co-planer?

Co-planar refers to a set of objects that lie in the same plane or lie on the same flat surface. They have the same elevation and do not intersect each other.

Non-coplanar refers to a set of objects that are not in the same plane or do not lie on the same flat surface. They have different elevations and may intersect each other.

W is a point that is not co-planar with R, S, and T.

Consider the provided plane.

We need to find the point that is not co-planar with R, S, and T.

Co-planar: Two object or points are said to be co-planer if they lie in the same plane.

Non co-planar: Two object or points are said to be non co-planer if they don't lie in same plane.

Now consider the provided plane, the point W is not lie in the plane V.

While point R, S and T lie in the plane V.

Hence, the required point is W.

W is a point that is not co-planar with R, S, and T.

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Answer: To find the coordinates of the remaining vertices of square ABCD, we can use the information given about diagonal AC and the properties of a square. Since a square has equal side lengths and right angles, we know that the distance between opposite vertices on a diagonal must be equal to the side length of the square.

Given the coordinates of vertex A and C, we can use the distance formula to find the length of AC:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

AC = sqrt((2 - (-2))^2 + (4 - 1)^2)

AC = sqrt(4 + 9) = sqrt(13)

Now that we know the side length of the square, we can use this information to find the coordinates of the remaining vertices. We know that vertex B has the same y-coordinate as vertex A, but the x-coordinate is 2 units to the left of vertex C. Therefore, the coordinates of vertex B are (-2 + 2sqrt(13), 1).

Similarly, we know that vertex D has the same x-coordinate as vertex A, but the y-coordinate is 4 units down from vertex C. Therefore, the coordinates of vertex D are (-2, 1 + 4sqrt(13))

So, the coordinates of the remaining vertices are (2sqrt(13),1) and (-2, 4sqrt(13)) respectively.

Step-by-step explanation:

Answer:

13 dollars

Step-by-step explanation:

Answer:

the number is 40

Step-by-step explanation:

A number decreased by 20 is 10 less than twice the number

10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40

The vertices of the quadrilateral after dilation of 2 are

(-4, 10), (-4, 4), (4, 10), (4, 4).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, A quadrilateral with vertices  (-2,5), (-2,2), (2,5), (2,2).

Now, Dialating this quadrilateral with a scale factor of 2 centered at the origin would multiply every vertices points by 2.

Therefore, The dilated quadrilateral has vertices,

2[ (-2,5), (-2,2), (2,5), (2,2)].

(-4, 10), (-4, 4), (4, 10), (4, 4).

The figure of this dilated quadrilateral is attached.

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