May I please get help describing each? I have tried multiple times to get each of them are

Area is the quantity that expresses the extent of a region on the plane or on a curved surface. the area of shaded region is 15.728 inches square.

Area is the quantity that expresses the extent of a region on the plane or on a curved surface

The diameter of circle is 5, d=5

and the length of side of the equilateral triangle is 3.

to find the area of shaded region we need to find the area of circle and then we have to remove the area of triangle.

π(d/2)²-1/2×a²×sin60⁰

3.14(5/2)²-1/2×3²×√3/2

3.14×2.5²-1/2×9×√3/2

3.14×6.25 -1/2×9×0.866

3.14×6.25-7.794/2

3.14×6.25-3.897

19.625-3.897

15.728

Hence area of shaded region is 15.728 inches square.

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Given: The quadratic equation below

To Determine: The two linear factors of the given equation using standard form of a quadratic equation

The standard form of a quadratic equation is given as

Re-write the given equation in the standard form as shown below

Factor the left hand side as shown below

Hence, the two linear factors of the given equation is

(5x -4)(7x + 3) = 0

Answer:

(-∝;1)∪(1;+∞).

Step-by-step explanation:

for more details see the attached graph.

To find the common diference we substract each of the number by the previous one:

Therefore the common difference is 3 and the answer is B.

The completed two-column format used to prove the congruency of the segments [tex]\overline{ST}[/tex] and [tex]\overline{NR}[/tex] is presented as follows;

Statements [tex]{}[/tex]                                                       Reasons

1. [tex]\overline{SU}[/tex] ≅ [tex]\overline{LR}[/tex], [tex]\overline{TU}[/tex] ≅ [tex]\overline{LN}[/tex]   [tex]{}[/tex]                        1. Given

2.  [tex]\overline{SU}[/tex] = [tex]\overline{LR}[/tex], [tex]\overline{TU}[/tex] = [tex]\overline{LN}[/tex]  [tex]{}[/tex]                         2. Definition of congruent segments  

3. SU = ST + TU  [tex]{}[/tex]                                   3. Segment addition postulate

   LR = LN + NR  [tex]{}[/tex]                                      

4. ST + TU = LN + NR  [tex]{}[/tex]                          4.  Substitution property of equality

5. ST + LN = LN + NR [tex]{}[/tex]                           5. Substitution property of equality

6. ST + LN - LN = LN + NR - LN [tex]{}[/tex]           6. Subtraction property of equality

7. ST = NR [tex]{}[/tex]                                            7. Substitution property of equality

8. [tex]\overline{ST}[/tex] ≅ [tex]\overline{NR}[/tex] [tex]{}[/tex]                                         8. Definition of congruency

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Answer:

100 degrees

Explanation:

Given that:

The temperature in Phoenix, Arizona = 97 degrees.

The temperature on Antarctica = -3 degrees.

To determine how far apart the temperature of the two cities are, we find the difference in temperature.

The temperature in the two cities is 100 degrees apart.

Answer:

distance between the points (3,4) and (1,5) = 2.236

Step-by-step explanation:

The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 2 dimensional plane, the distance between points (X1, Y1) and (X2, Y2) is given by the Pythagorean theorem:

[tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]'

For:

[tex](X1, Y1) = (3, 4)\\\\(X2, Y2) = (1, 5)[/tex]

[tex]d = \sqrt {(1 - 3)^2 + (5 - 4)^2}\\\\d = \sqrt {(-2)^2 + (1)^2}\\\\d = \sqrt {{4} + {1}}\\\\d = \sqrt {5}\\\\d = 2.236068[/tex]

Answer:

Exact distance is [tex]\sqrt{5}[/tex]

Approximate distance is  2.2361

Round the decimal value however your teacher instructs.

====================================================

Work Shown:

I used the distance formula to get the following.

[tex](x_1,y_1) = (3,4) \text{ and } (x_2, y_2) = (1,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-1)^2 + (4-5)^2}\\\\d = \sqrt{(2)^2 + (-1)^2}\\\\d = \sqrt{4 + 1}\\\\d = \sqrt{5}\\\\d \approx 2.2361\\\\[/tex]

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

A slight alternative is to plot the points A(3,4) and B(1,5) and C(3,5).

Points A and B are the original points we were given. Point C helps form a right triangle. The hypotenuse is AB and the legs are AC and BC.

Leg AC = 1 unit and leg BC = 2 units

Use the pythagorean theorem [tex]a^2+b^2 = c^2[/tex] to plug in a = 1 and b = 2 to find that the hypotenuse is exactly [tex]c = \sqrt{5}[/tex] units long, which is the distance from A to B.

Answer: 3

Step-by-step explanation:

   We can use the slope formula to calculate the slope of the line passing through these two points.

     [tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{1--5}{4-2} =\frac{1+5}{4-2} =\frac{6}{2} =3[/tex]

Answer:

1) yes

2) yes

Step-by-step explanation:

I know #1 is parallel because from the slope-intercept form shown, the slopes of line a and line b are the same, meaning it is parallel.

I known #2 is perpendicular because from the slope-intercept form shown, the slopes of line a and line b are the negative reciprocal of eachother.

Given the parallelogram and its image

For the point E'

Pre image is E = (2 , 5 )

Image is E' = ( -2 , -5 )

What happen to x? is multiplicative inverse ( multiplied by -1)

What happen to y? is multiplicative inverse ( multiplied by -1)

For the row of F' ;

Pre - image is F = (4 , 8 )

Image is F' = ( -4 , -8 )

What happen to x? is multiplicative inverse ( multiplied by -1)

What happen to y? is multiplicative inverse ( multiplied by -1)

For the row of G' :

Pre - image is G = ( 6 , 5 )

Image is G' = ( -6 , -5 )

What happen to x? is multiplicative inverse ( multiplied by -1)

What happen to y? is multiplicative inverse ( multiplied by -1)

For the row of H' :

Pre - image is H = ( 4 , 2 )

Image is H' = ( -4 , -2 )

What happen to x? is multiplicative inverse ( multiplied by -1)

What happen to y? is multiplicative inverse ( multiplied by -1)

so,

As shown, Type of Transformation: is reflection over the point ( 0 , 0 )

Or can be written reflection Through the origin

Algebraic Representation: ( -x , -y )

the rule of translation

(x , y ) → ( -x , -y)

EXPLANATION

As we can see in the picture, there is a proportional relationship between the bottles that are thrown away each month and those recycled.

Considering two ordered pairs as for instance, (x_1,y_1)= (40,12) and (x_2,y_2)= (50,15) give us the appropiate rate.

The rate is as follows:

In conclusion, for each 10 bottles thrown away, there are 3 bottles recycled.

The answer is the option B.

Answer:

(-7, 3)

Step-by-step explanation:

Since the endpoints of the interval are not included, use parentheses.

Answer:

14.

Step-by-step explanation:

Multiply 9x2 = 18

do 18-4 = 14

boom answer

Answer: 16

Step-by-step explanation:

9 boys in Mr. Ackerman's class

And gloves is plural so it means each boy has 2 gloves/

9 x 2 = 18

Then, 2 boys lost one glove..... glove is singular and there are 2 boys.

This means 2 gloves are missing

18 - 2 = 16

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The measure of ∠x is 120°, and the measure of ∠y is 60°, find the measure of , ∠z = 0°

A triangle's internal angles always add up to 180°, although its exterior angles are equal to the sum of the two interior angles that are not next to it. Another method for calculating a triangle's exterior angle is to subtract the angle of the vertex of interest from 180°.

Given that,

For triangle,

∠x is 120°

∠y is 60°

now , ∠z = [180° - (120°+60°)]

         ∠z = 0°

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Answer:

128

Explanation:

Given the expression

62 + 42 + 24

Adding the values up will give;

= 62 + (66)

= 128

Hence the equivalent value is 128

The solution to the system of inequalities is the shaded area shown in the graph. This also includes the bounding lines of the shaded area since they are all solid lines.

To find the answer, we will check the coordinates provided in the options to see which falls within the shaded portion.

On observation, we can see that the following coordinates fall within the shaded area:

The correct options are OPTION 3 and OPTION 4.

Since the standard deviation is 10 and the first given score is 40, the 40 is 2 standard deviations below the mean.

On the other hand, 80 is 2 standard deviations above the mean.

Thus, we subtract the probability below the z-score which is 2, 0.97725, and the probability below the z-score which is -2, 0.02275.

We may obtain the values using the z-score table.

Therefore, the approximate value of the probability is 0.955.

The exchange rate (US$1 = S$x) means that for every S$ she will receive 1 US dollar. Therefore, one can write the equation:

Given the terms

-2, 4, -8, 16

The first term = -2

The second term is 4

The third term is -8

The fourth term is 16

We can observe that this is a geometric sequence

So to get the 11th term, we will first get the formula

Step 1: Get the common ratio (r)

Step 2: Get the formula for the nth term

The formula is given by

where T is the nth term

n is the number of terms

Step 3: Find the 11th term

The 11th term is -2048

When 91 is divided by 1 1/9 the quotient is closest to 81.

What is a quotient?

When we divide a number by  the dividend the result of the division is known as quotient.

We are given a number as 91

We have to divide 91 by 1 1/9

We get, [tex]\frac{91}{\frac{10}{9} }[/tex]

On simplifying the above equation we get,

[tex]\frac{91}{10}[/tex]·[tex]9[/tex]

[tex]=\frac{819}{10}[/tex]

=81.9

This can be rounded off as this value is close to 82.

Hence when 91 is divided by 1 1/9 the quotient is closest to 82.

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The inequality is -3x+9>1. The inequality value of x is greater then 8/3.

Given that,

The inequality is -3x+9>1

We have to find the x value.

Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. When two values are not equal, we typically use the "not equal symbol ()".But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Take the inequality is greater then symbol,

-3x+9>1

-3x>1-9

-3x>-8

x>-8/-3

x>8/3

Therefore, the inequality value of x is greater then 8/3.

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ANSWER

EXPLANATION

The probability that if a person has run a red light in the last year can be found by dividing the number of people that have run a red light in the last year by the total number of people in the group.

The total number of people in the group is:

Therefore, the probability is:

Answer

6x² - 9x

Explanation

Given:

Height = 3x

Width = 2x - 3

The area of a rectangle = Length x Width

From the figure, length = height = 3x

Area = 3x(2x - 3)

In expanded form, we shall open the parenthesis

Area = (6x² - 9x) squared unit

60% as a fraction is 3/5

To solve this, first we need to conver the percentage to decimal:

Answer:

12/5

Step-by-step explanation:

Find the y-intercept form of the line by isolating y:

x + 5y = 12

5y = -x + 12

5         5

y = (-1/5)x + 12/5

y = mx + b

In this form, 12/5 is b, which is the line's y-intercept.

Answer:

6 square meters.

Explanation:

The banner is made up of two congruent triangles and two congruent trapezoids.

The banner forms a triangle with base:

The height of the triangle = 2 meters.

Therefore, the area of the banner:

The measure that is the best estimate of the area of the banner is 6 square meters.

To graph the linear equation, follow the steps below.

Step 01: Find one point of the line.

To do it, choose a x-value and find its corresponding y-value.

Let's choose x = 0.

Substituting x in the equation to find y:

First point: (0, 4).

Step 02: Find another point of the line.

Let's choose x = 3.

Substituting x in the equation to find y:

Second point: (3, 3).

Step 03: Plot the two points and connect them to draw the graph.

The graph is shown below:

Answer:

It would be called the algebraic property of 0.

Step-by-step explanation:

The function f(x) becomes  [tex]g(x)=\sqrt{x+5} +2[/tex] after shifting up 2 units and left 5 units.

Vertical shift: A new function g(x)=f(x)+k, where k is a constant, is a vertical shift of the function f(x), given a function f(x). The output values are all altered by k units. The graph will shift to the right if k is positive. If k is negative, the graph will shift downward.

Horizontal shift: A new function g(x)=f(x-h), where h is a constant, is a horizontal shift of the original function f, where f is a function. Graph shifts to the right if h is positive. If h is negative, the graph will shift to the left.

It is given that [tex]f(x)=\sqrt{x}[/tex].

The graph is shifted up 2 units first.

So, the function becomes [tex]\sqrt{x} +2[/tex]

Now the function is shifted 5 units to the left.

So, the new function. [tex]g(x)=\sqrt{x+5} +2[/tex]

So, the function f(x) becomes  [tex]g(x)=\sqrt{x+5} +2[/tex] after shifting up 2 units and left 5 units.

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