What is the equation of a line that passes through the hypotenuse of the right triangle in the graph?

A. 1/5x
B. y=5x
C. y=-5x
D. y=2/5x

My explanation is that a quadratic equation is a set of terms of the form (in general): ax2+bx+c=0. A quadratic function is one where the right-hand constant (call it f) is allowed to vary with x, thus giving: f(x)=ax2+bc+c.

The equation of the circle x² +y² – 8x – 6y + 21 = 0 is equal to the equation (x + 4)² + (y − 3)² = 2². Then the correct option is C.

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is given as

x² + y² – 8x – 6y + 21 = 0

The equation can be written as

x² – 8x + 16 + y² – 6y + 9 = 4

             (x + 4)² + (y − 3)² = 2²

Then the center of the circle is at (-9, 6) and the radius of the circle is 10 units.

More about the circle link is given below.

https://brainly.com/question/11833983

Answer:

Step-by-step explanation:

Remember :

Here :

Answer:

Option D

Step-by-step explanation:

The reflection of (x,y) is (y,x)

so R(—2,9) = (9,—2)

Answer:

4

Step-by-step explanation:

The total of all numbers divided by how many surveys were done.

The graph which accurately matches Natasha's data for the chain of supermarkets is a bar graph.

A table is a way to represent the data of two or more variables.

To read the data from the table look for the value of one variable, and get the resultant value of another variable from the corresponding block.

Natasha was able to assemble the relevant information in the table below,

Sales are listed in thousands of dollars.

Week -      4          1          1          3         4            2        3        2

Sales-     16.3     17.8      23.1    15.2     20.2     23.4    22.9    17.6

Branch- North  South  North  South  South  North  North South

To show the sales with respect to the time period, the best data chart is the bar graph. In a bar graph, the height of the bars is proportional to the data value it possesses.

Here, for the sales by the Natasha the bar graph should be used as, the bar graph has a week on the x-axis and sales (dollars times 1,000) on the y-axis, from 15 to 23.

Week 1 North, 23. 1; week 2 north, 23. 4; week 3 north, 22. 9; week 4 north, 16. 3. Week 1 south, 17. 8; week 2 south, 17. 6; week 3 south, 15. 2; week 4 south, 20. 2.

Hence, the graph which accurately matches Natasha's data for the chain of supermarkets is the bar graph.

Learn more about the data table here;

brainly.com/question/15602982

Answer:

2 ≤ x ≤ 10

Step-by-step explanation:

4|x – 6| ≤ 16

|x – 6| ≤ 4

-4 ≤ x – 6 ≤ 4

2 ≤ x ≤ 10

The solution to 4|x – 6| ≤ 16 is 2 ≤ x ≤ 10

A polynomial expression is an expression that can be built from constants and symbols.

Polynomials are algebraic expressions that comprise exponents which can be added, subtracted, or multiplied. Polynomials are of different types. Monomial- Linear equations (A monomial is a polynomial with one term)Binomia l- quadratic equation (A binomial is a polynomial with two, unlike terms).

calculation:-

⇒4|x – 6| ≤ 16

⇒|x – 6| ≤ 4

⇒-4 ≤ x – 6 ≤ 4

⇒2≤ x ≤ 10

Learn more about polynomials here:-https://brainly.com/question/5659345

#SPJ2

Answer:

degenerate parabola & Line

Step-by-step explanation:

I took the test

Answer:

540pie OR 1695.6

Step-by-step explanation:

Answer:

A (102 inches)

Step-by-step explanation:

C) 102 inches

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

========

For example: Let the length of rectangle be 0.1 and width should be 480

For this the area is 48 square inches and perimeter is 960.2 inch.

→ Here since they asked for largest possible perimeter . 102 inches will be the correct option.

The volleyball is 14 feet above the ground at the instant the player begins her jump.

It is defined as the equation by which we can find the motion of a physical particle with respect to time. It is the representation of physical entity movement in a mathematical function.

We have two equation for two different situations:

[tex]\rm h(t) = 14 - 16t^2\\[/tex]              (falling volleyball as a function of time t)

[tex]\rm h(t) = 7+24t-16t^2[/tex]       (the hands of a player jumping up to spike the    

                                        ball as a function of time t)

First, we have to find the height of the ball above the ground at the instants the player begins to jump:

At t = 0 when the player begins to jump

Put t = 0 in the second equation, we get:

[tex]\rm h(0) = 7+24\times 0-16\times0^2[/tex]

Height of the hand, h = 7 units

Now put t = 0 in the first equation, we get;

[tex]\rm h(0) = 14 - 16\times0^2[/tex]

h = 14 units.

Thus, the volleyball is 14 feet above the ground at the instant the player begins her jump.

Learn more about the equation of the motion here:

brainly.com/question/13514745

Answer:

the answer is B on E 2020

Step-by-step explanation:

cuz i said so :|

Answer:

The picture isnt popping up fix it and ill answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

change in time: 2

change in distance: 5.5

2:5.5

C

Line symmetry is when a shape can be folded over an imaginary axis and have both sides be a mirror of the other. This axis is called the line of symmetry.

Letter C

In this case, if you draw a horizontal line across the middle of the letter "C" and fold the letter, each half would be the same. The top half of "C" mirrors the lower half.

Other Examples

The lowercase letter "l" also has 2 lines of symmetry. You can draw both a horizontal and vertical line across the letter and each side will mirror the other.

[tex]p = \frac{1}{2} \times 2 \times \pi \times radius \\ [/tex]

[tex]p = 3.14 \times \frac{3}{2} \\ [/tex]

[tex]p = 3.14 \times 1.5[/tex]

[tex]p = 4.71 \: \: ft[/tex]

Answer:

[tex]7.71ft[/tex]

Step-by-step explanation:

Formula for finding circumference

[tex]\frac{1}{2} \pi *d+d[/tex]

Diameter = [tex]3ft[/tex]

Substitue into equation:

[tex]\frac{1}{2}\pi *3+3[/tex]

Solve:

[tex]3.14*3=9.42\\\frac{1}{2} of9.42=4.71\\4.71+3=7.71[/tex]

Answer:

The area is 56.52 sq. in.

Step-by-step explanation:

First to find the area of a whole circle, we do r^2(pi)- 6^2(3.14)=113.04. Since the circle is cut in half or is a semicricle, we divide the whole area by 2 to get 113.04/2=56.52.

Answe65

Step-by-step explanationthat the anews

Answer:

Option 3

Step-by-step explanation:

Divide both terms by 2

The two person will pay the same amount of money when they both watch 9 hockey games.

A hockey season ticket holder pays $99.00 for her tickets plus $3.00 for a program for each game. Therefore,

y = 99 + 3x

where

y = total cost

x = number of game

A second person pays $14.00 for a ticket to every game but doesn't buy programs. Therefore,

y = 14x

The number of games they will have the same amount is as follows:

99 + 3x = 14x

99  = 14x - 3x

99 = 11x

x = 99 / 11

x = 9

Therefore, they will have the same amount when they watch 9 games.

learn more on equation here: https://brainly.com/question/14058936

Answer: [tex]x^{2} -7x+10[/tex]

Explanation:

Get the result ⇒ [tex]f(x)-g(x)=(x^{2} -6x+8)-(x-2)[/tex]

Remove the parentheses ⇒ [tex]x^{2} -6x+8-x+2[/tex]

Reorder and gather like terms ⇒ [tex]x^{2} +(-6x-x)(8+2)[/tex]

Collect the coefficients for the like terms ⇒ [tex]x^{2} +(-6-1)*x+(8+2)[/tex]

Calculate the sum or difference ⇒ [tex]x^{2} -7x+(8+2)[/tex]

Calculate the sum or difference ⇒ [tex]x^{2} -7x+10[/tex]

Convert to required form ⇒ [tex]x^{2} -7x+10[/tex]

Answer ⇒ [tex]x^{2} -7x+10[/tex]

The probability (x s 110) is 0.975, the correct option is A.

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

We are given that;

Mean=98

Now,

To find the probability that x is less than or equal to 110 for a normal distribution with mean 98 and standard deviation 6, we need to use the standard normal table or a calculator.

Using the standard normal table, we first need to convert x to a z-score using the formula:

z = (x - mean) / standard deviation

Plugging in x = 110, mean = 98 and standard deviation = 6, we get:

z = (110 - 98) / 6

z = 2

This means that x = 110 is equivalent to z = 2 on the standard normal distribution.

Now we look up the value of z = 2 on the table and find that it corresponds to an area of 0.9772. This means that P(z ≤ 2) = 0.9772.

However, this is not the answer we want. We want P(x ≤ 110), which is the same as P(z ≤ 2). The table gives us the area to the left of z, but we need to subtract it from 1 to get the area to the right of z. This is because P(x ≤ 110) = P(z ≤ 2) + P(z > 2) = 1.

Therefore,

P(x ≤ 110) = P(z ≤ 2)

P(x ≤ 110) = 1 - P(z > 2)

P(x ≤ 110) = 1 - (1 - P(z ≤ 2))

P(x ≤ 110) = P(z ≤ 2)

P(x ≤ 110) ≈0.9772

Therefore, by the given mean the answer will be 0.975.

Learn more about mean and median;

https://brainly.com/question/17060266

#SPJ7

Answer:

76

Step-by-step explanation:

All steps are in the pic attached :

Answer:

Answer: 24

Step-by-step explanation:

There are 4 possibilities for the first card. After that, there are 3 possibilities for the second card. Finally, there are 2 possibilities for the third card. The total number of permutations is 4×3×2 = 24. Here's the list (in alphabetical order): ARS ART ASR AST ATR ATS RAS RAT RSA RST RTA RTS SAR SAT SRA SRT STA STR TAR TAS TRA TRS TSA TSR

Answer:

1) 7 + 2/7 , 2) 1 + 11/12

Step-by-step explanation:

1) 7/51 = 7 + 2/7

2) 23/12 = 1 + 11/12

Answer:

5/6

Step-by-step explanation:

See attached Venn diagram

Given they passed the test is 12

    then 10 of these completed the assignment    10 /12 = 5/6

Answer:

1st, 2nd, and 5th one

Step-by-step explanation:

I got an 100 on the assignment! hope this help <3

Answer:

Step-by-step explanation:

The common ratio =  100/500 =  1/5 and the first term a1 = 500.

The rule is a1=500; an = 1/5a(n-1)

Answer:

Step-by-step explanation:

Given

2x + 9 - x + 3

What's equivalent

Solution

2x - x + 9 + 3             The terms have been rearranged. Combine

x + 12

Test.

x = 5

2(5) + 9 - 5 + 3

10 + 9 - 5 + 3

19 - 5 + 3

14 + 3

17

x + 12

5 + 12 = 17

Answer:

k = -19

Step-by-step explanation:

Given

Subract 11 from each side.

Hey there!

Solve the equation :

k = -19 ✅

k + 11 = -8

>> Substract 11 from both sides :

k + 11 - 11 = -8 - 11

>> Simplify :

k = -19

More about equations :

https://brainly.com/question/27436957

Have a good day ;)

Answer:

Given :-

To Find :-

Solution :-

Putting the known values ,

Volume = 1/3×3.14×5²×14 m³

Volume = 366.33 m³

Answer:

[tex] \: [/tex]

Step-by-step explanation:

In the question, it is given that a cone has a radius of 5 meters and a height of 14 meters and we have to find the volume of the cone.

[tex] \: [/tex]

To find the volume of the cone, we must know this formula :

[tex] \\ {\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times \pi \times {(r)}^{2} \times h }}}}}}} \\ \\[/tex]

Where,

Now, we will substitute the values in the formula :

[tex] {\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 25 \times 14 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 3.14 \times 350 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1}{3} \times 1099 }}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\sf { Volume_{(cone) }= \dfrac{1099}{3}}}}}}}} \\ \\[/tex]

[tex]{\longrightarrow{ \qquad{{ {\pmb{\frak { Volume_{(cone) }= 366.33}}}}}}} \\ \\[/tex]

Therefore,