X^2 + y^2 = 169 and y = -5 as a graph and where are the coordinates of intersection

The constructed bisector of line segment given below in the image.

Process to construct the bisector of a line segment :

Step 1 : Make the compass length ( the distance between the pointed leg and the pencil leg) slightly greater than half the length of the line segment OP. Place the point of the compass on O. Make arcs above and below the line segment OP.

Step 2 : Using the same compass length as same as the previous one, place the point of the compass on P. Make arcs above and below line segment OP. These arcs must intersect the arcs made in previous step.

Step 3 : Connect the points where the arcs intersect. Label the line segment MN and the point where the line intersects OP, Q.

Step 4 : Line segment MN bisects line segment OP at midpoint Q.

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The required slope of the line given by m = -3/4.

The slope of the given y = -3/4x+2 is m, the line passes from (0, 2) and (4, -1)

A line can be defined by a shortest distance between two points is called as a line.

equation of the given line is |

 y =[tex]\frac{-3}{4}[/tex]x + 2

slope of the given line is given by comparing it to standard equation
y = mx + c
by comparing
m= -3/4
Which required slope of the line.
Since we have two points on line begin or end point (0, 2) and (4, -1) respectively. This satisfies the equation while putting it into the equation.

Thus the required slope of line   y =[tex]\frac{-3}{4}[/tex]x + 2is given by  m= -3/4 , This line passes through points  (0, 2) and (4, -1).

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No, the equations -11(x - 2) = 8 and x - 2 = 8 + 11 are not equivalent.

The equivalent is the expressions that are in different forms but are equal to the same value.

Then the equation is given below.

-11(x - 2) = 8

By simplifying, we have

x - 2 = - 8 / 11

No, the equations -11(x - 2) = 8 and x - 2 = 8 + 11 are not equivalent.

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Answer:

y = 97°

Explanation:

Opposite angles in a quadrilateral inscribed in a circle sum ups to 180°

So following the rule:

A + C = 180°

y + 83° = 180°

y = 180° - 83°

y = 97°

Answer:

the scale factor of a drawing=1:4

Answer:

D. [tex](x + 1)(x^2 + 3)[/tex]

Step-by-step explanation:

Hello!

We can group the first two terms and the last two terms.

Factoring by grouping is the process of breaking down larger polynomials to smaller ones to factor. We can then combine like factors.

In the second step, we can see that we can rewrite [tex]x^3 + x^2[/tex] as [tex]x^2(x + 1)[/tex], as both the two terms share a common factor of [tex]x^2[/tex]. We can pull out [tex]x^2[/tex] from that expression. Similarly, [tex]3x[/tex] and [tex]3[/tex] share a common factor of [tex]3[/tex], so we can pull that out.

Answer:

D

Step-by-step explanation:

The domain are the x values. When you plug those values into the equation, you get 34, 6, 22.

3(-3²) - 2(-3) + 1                     Negative * Negative = Positive

3(9) + 6 + 1

34

3(-1²) - 2(-1) + 1

3 + 2 +1

6

3(3²) -2(3) + 1

3(9) - 6 + 1

22

Answer:

[tex]\frac{45}{7}[/tex]

Step-by-step explanation:

9 is the same as [tex]\frac{9}{1}[/tex]

∴ 9 ˣ [tex]\frac{5}{7}[/tex]

=  [tex]\frac{9}{1}[/tex] ˣ  [tex]\frac{5}{7}[/tex]

To multiply two fractions, just multiply their numerators together and their denominators together.

9 x 5 = 45

1 x 7 = 7

∴ [tex]\frac{9}{1}[/tex] ˣ  [tex]\frac{5}{7}[/tex]

  = [tex]\frac{45}{7}[/tex]

2.

1 day = 24h

1h = 60min

We have 4h 20min

[tex]4h + 20min = 4h+\dfrac{20}{60}h=4h+\dfrac{1}{3}h=4\dfrac{1}{3}h=\dfrac{13}{3}h[/tex]

[tex]\dfrac{\frac{13}{3}}{24}=\dfrac{13}{3}\cdot\dfrac{1}{24}\\\\\huge\boxed{(D)\ \dfrac{13}{72}}[/tex]

3.

6:51PM + 9min → 7:00PM

7:00PM + 27min → 7:27PM

9min + 27min = 36min

[tex]36min=\dfrac{36}{60}h=\dfrac{3}{5}h[/tex]

[tex]\huge\boxed{(C)\ \dfrac{3}{5}}[/tex]

The average rate of change of f(x) = -3x² + 1 over each of the given intervals are; -18, 6 nd 38

We are given the function;

f(x) = -3x² + 1

(a) From 2 to 4;

f(2) = -3(2)² + 1

f(2) = -12 + 1

f(2) = -11  (2, -11)

f(4) = -3(4)² + 1

f(4) = -47  (4, -47)

Slope = (-47 - (-11))/(4 - 2)

Slope = -36/2

Slope = -18

(B) From -2 to 0;

f(-2) = -3(-2)² + 1

f(2) = -12 + 1

f(2) = -11  (-2, -11)

f(4) = -3(0)² + 1

f(4) = 1  (0, 1)

Slope = (1 - (-11))/(0 - (-2))

Slope = 12/2

Slope = 6

(C) From 2 to 5;

f(2) = -3(2)² + 1

f(2) = -12 + 1

f(2) = -11  (2, -11)

f(5) = -3(5)² + 1

f(5) = -74  (0, -74)

Slope = ((-74) - 2)/(0 - 2)

Slope = -76/-2

Slope = 38

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The equation will be a linear equation from (2, 5) to (4, 10) will be y = 2.5x.

Mathematics is replete with functions, which are necessary for the construction of intricate connections.

A 2-column table with 3 rows. Column 1 is labeled x with entries 2, 4, 5. Column 2 is labeled y with entries 5, 10, 12.5.

Use the information in the table to find the constant of proportionality and write the equation.

The equation will be a linear equation from (2, 5) to (4, 10) will be

(y – 5) = [(10 – 5) / (4 – 2)] (x – 2)

 y – 5 = 2.5x – 5

       y = 2.5x

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Answer:

2.5 and y=2.5x

Step-by-step explanation: i got that question on an edguenity assignment

In accordance with the comparison of the given expression to the definition of exponential function, we conclude that the rate of growth is 1/6.

In this question we need to analyze an exponential function of the form:

y = a · (1 + r)ˣ      (1)

Where r is the growth rate. Please notice that there is a decay for r < 0. Thus, we find the following finding by comparing the given expression to (1):

y = 0.84 · (1 + 1/6)ˣ

In accordance with the comparison of the given expression to the definition of exponential function, we conclude that the rate of growth is 1/6.

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Answer:

A dashed line down V on the (0,0) with the shading inside the V.

Step-by-step explanation:

- graph of y = -|x| is an upside down V

- less than sign means that there is dashed lines only

- plug in an x-value to determine whether the graph is shaded within the V or outside

These thoughts show you that AAS theorem is straight extension of ASA theorem.

A triangle is a simple polygon with 3 sides and 3 interior angles. It is one of the basic shapes in geometry in which the 3 vertices are joined with each other and it is denoted by the symbol △. There are various types of triangles that are classified on the basis of the sides and angles.

ASA congruence theorem: If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

AAS congruence theorem: If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Consider two triangles ΔABC and ΔA'B'C' .

If        m∠A = m∠A'

and   m∠B = m∠B'

         AB = A'B'

then two triangles ΔABC and ΔA'B'C' are congruent by AAS theorem.

Thus, these thoughts show you that AAS theorem is straight extension of ASA theorem.

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Answer:  The Sample Response is the answer Edge uses as a correct answer. Answer varies depending on your response.

Step-by-step explanation:

This answer is correct I got it right on Edge 2022. The proof is down below.

Sample Response: The interior angle measures of a triangle add up to 180 degrees. Thus, if you are given angle-angle-side, you can solve for the third angle measure and essentially have angle-side-angle because the given side will now be the included side.

As long as you explain and include these in your answer it should be correct: (If you decide to answer using your own words)

Hope this helps someone. Good luck! :)

Answer:

(x-6y)(x-4y)

Step-by-step explanation:

Answer:

1,530

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Coordinates follow (x,y) so to find a solution to the line you want to find a point in (x,y) form which is on the line.

This means (1,3) is a solution because at x=1 and y=3 it is on the line.

C | (1,3)

The 24 walls must paint by each volunteer if the work is divided evenly and the club has 36 volunteers.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

As part of a community-service project, a local club has decided to paint 864 walls across town. The club has 36 volunteers.

Total number of volunteers = 36

Number of walls = 864

The number of walls each volunteer paint can be expressed as a fraction:

= 864/36

= 24

Thus, the 24 walls must paint by each volunteer if the work is divided evenly and the club has 36 volunteers.

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Answer:

17

Step-by-step explanation:

8 + h^2

Let h = 3

8 + 3^2

We find the value of 3^2 first using PEMDAS

8 + 9

Then add

17

The result is 17

Solution: 17

Detailed explanation:

[tex]\circ[/tex] Stick in the value of h, which we're provided with (3)

[tex]--\mapsto\boldsymbol{8+(3)^2}[/tex] *

*Be careful here! Here it's very easy to make a mistake, if you aren't familiar with the Order of Operations. The Order of Operations is shown below [tex]\swarrow[/tex]

P=Parentheses

This operation tells us to perform the operations in the parentheses first.

E=Exponents

This one tells us to evaluate all exponents, if any are present.

M=Multiplication | D=Division

These two are completely interchangeable; you can perform Multiplication first and then division, or the other way around.

A=Addition | S=Subtraction

Like the two operations above, A and S are also completely interchangeable.

________________________________________________________

________________________________________________________

Using the information above, let's evaluate (find the value of) the expression [tex]8+h^2[/tex].

We stick in the value of h, 3

[tex]\pmb{8+3^2}[/tex] is what we obtain

Here we see that exponents are  present (3^2) so we'll evaluate that first, as P.E.M.D.A.S. tells us to do.

[tex]\pmb{8+9}[/tex] (3^2=3*3)

And Now we just need to add the numbers

[tex]\boldsymbol{17}[/tex]

Voila! There's our answer!

_____________________

Hope I helped. Best wishes.

Reach far. Aim high. Dream big.

[tex]\cal ReFlEcTioN[/tex]

_____________________

Answer:

Hey, You don't need to buy supplies. Just use your at home!

Step-by-step explanation:

Brainlest?

Answer: Algebra: 3 sub. spiral notebook, pencil pouch to hold colored pencils and ... Algebra 2: 2 or 3 subject spiral notebook (can use folder instead of binder).

Step-by-step explanation:

Answer: f(x) = -2 (x+3) (x-1)

Step-by-step explanation: See Attachment

Answer:

23

Step-by-step explanation:

substitute x = 4 into the expression

5x + 3 = 5(4) + 3 = 20 + 3 = 23

Hii!

____________________________________________________________

Answer:

The value is 23 - Choice [C] ✅

Step-by-step explanation:

STICK IN the value of x.

5x+3

5·4+3

MULTIPLY 5·4

20+3

ADD

23

--

Hope that this helped! Best wishes.

--

Answer:

x = 5.81

Step-by-step explanation:

3(12x-7) = 4(5x+18)

36x-21 = 20x +72

16x = 93

x = 5.81

Answer:

all the options are incorrect

Given - 20 teachers

- 705 students

To find - ratio of teachers to students

20/705

20 : 705 .

The range of the function f(x) = 3x3 when its domain is {2, 5} is {24, 375}

The domain is the independent value for which a function exists.

Given the function below;

f(x) = 3x^3

If the domain of the function is {2, 5}, the range are;

If x = 2

f(2) = 3(2)^3
f(2) = 3(8)

f(2) = 24

If x = 5

f(5) = 3(5)^3

f(5) = 3(125)

f(5) = 375

Hence the range of the function f(x) = 3x3 when its domain is {2, 5} is {24, 375}

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When the dice is rolled 14 times then from the given data the probability of 1,2,3,4,5,6 is 3/14,1/14,4/14,1/14,3/14,2,14.

Given Roll of dice and outcomes from 1 to 14 is 1,3,5,4,5,3,3,1,3,5,6,1,6,2.

From the given collected data we can find out number of times each number came when the dice is rolled.

Number of times 1 came=3

Number of times 2 came=1

Number of times 3 came=4

Number of times 4 came=1

Number of times 5 came=3

Number of times 6 came=2

The probabilities are in fraction form:

P(1)=3/14

P(2)=1/14

P(3)=4/14

P(4)=1/14

P(5)=3/14

P(6)=2/14

The probabilities in decimal form:

P(1)=0.21

P(2)=0.07

P(3)=0.28

P(4)=0.07

P(5)=0.21

P(6)=0.14

The probabilities in percentage:

P(1)=21%

P(2)=7%

P(3)=28%

P(4)=7%

P(5)=21%

P(6)=14%

Hence the probabilities are 3/14,1/14,4/14,1/14,3/14,2,14.

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The amount of the money borrowed is 864.941

So the amount of money over time can be given with an exponential function y=a(b)^x or more specifically y=a(1+r)^x   where r is the growth rate (interest rate)

So the equation can be written as

m=(1.04)^t

   Where m represents the amount of money over time, P represents the principal amount, and t represents time in years. Since we're given the amount of interest paid and not the total amount which includes the initial amount borrowed you have to subtract P from the equation. This will give us the equation that we'll use to find the initial amount

[tex]I=P(1.04)^t-P[/tex] where I represent the interest paid.

plug the values into the equation

[tex]108=P(1.04)^3-P\\P=864.941[/tex]

Therefore the amount of the money borrowed is 864.941.

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Answer:

[tex]h(1) = 4 \times 2 + 3 \times 1 - 2 \\ = 9[/tex]

Answer:

1.3 or 1.333333

Step-by-step explanation:

Just do it!