A square paddock has an area of 7140.25m².
How long is each side?

Answers

Answer 1

Answer:

it's 84.5 m ...................

A Square Paddock Has An Area Of 7140.25m.How Long Is Each Side?

Related Questions

[tex]5x + 17 = 82[/tex]simplify as much as possible

Answers

To answer this question, we can follow the next steps:

1. Subtract 17 to both sides of the equation (we apply here the subtraction property of equality):

[tex]5x+17-17=82-17\Rightarrow5x+0=65\Rightarrow5x=65[/tex]

2. To isolate the variable, x, in the equation, we need to divide by 5 to both sides of the equation, as follows:

[tex]\frac{5x}{5}=\frac{65}{5}\Rightarrow\frac{5}{5}=1\Rightarrow x=\frac{65}{5}\Rightarrow x=13[/tex]

We can check this result if we substitute this last value into the original equation:

[tex]5x+17=82\Rightarrow5(13)+17=82\Rightarrow65+17=82\Rightarrow82=82[/tex]

The result is always TRUE.

Therefore, the value for the unknown value of x is x = 13.

which fraction remains in the quotient when 4,028 is divided by 32

Answers

We get that

[tex]\frac{4028}{32}=\frac{1007}{8}=\frac{1000}{8}+\frac{7}{8}=125+\frac{7}{8}[/tex]

so the fractions that remains is 7/8

if the slope of a line and a point on the line are known the equation of the line can be found using the slope intercept form y=mx+b. to do so substitute the value of the slope and the values of x and y using the coordinates of the given point, then determine the value of b. using the above technique find the equation of the line containing the points (-8,13) and (4,-2).

Answers

[tex]y\text{ =}\frac{-5}{4}x\text{ + 3}[/tex]

The general equation of a line is;

[tex]y\text{ = mx + b}[/tex]

m is the slope and b is the y-intercept

To find the slope, we use the equation of the slope as follows;

[tex]\begin{gathered} m\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ \\ (x_1,y_1)\text{ = (-8,13)} \\ (x_2,y_2)\text{ = (4,-2)} \\ \\ m\text{ = }\frac{-2-13}{4-(-8)}\text{ = }\frac{-15}{12}\text{ = }\frac{-5}{4} \end{gathered}[/tex]

We have the partial equation as;

[tex]\begin{gathered} y\text{ = }\frac{-5}{4}x\text{ + b} \\ \\ \text{Substitute the point (-8,13)} \\ \text{x = -8 and y = 13} \\ \\ 13\text{ = }\frac{-5}{4}(-8)\text{ + b} \\ \\ 13\text{ = 10 + b} \\ b\text{ = 13-10 = 3} \end{gathered}[/tex]

We have the complete equation as;

[tex]y\text{ =}\frac{-5}{4}x\text{ + 3}[/tex]

T is in seconds and L is the length of the pendulum in centimeters. Find the period of the pendulum of the given lengths. Give your answer to two decimal places using 3.14 for π. Show and explain your work below. a. L = 23 cm b. L = 192 cm

Answers

The period of the pendulum in each case is given as follows:

a. L = 23 cm: 0.96 s.

b. L = 192 cm: 2.78 s.

Period of pendulum

The period of a pendulum is defined according to the following equation:

P = 2π sqrt(L/g)

In which the parameters are as follows:

L is the length of the pendulum which we want to find the period.g = 9.8 m/s² is the acceleration of the pendulum due to the gravity.

For a length of 23 cm = 0.23m, in item a, considering 3.14 for π, the period is calculated as follows:

P = 6.28 x sqrt(0.23/9.8) = 0.96 s.

In item b, the length is of 192 cm = 1.92 m, as each cm has 100 m, hence the period is given by:

P = 6.28 x sqrt(1.92/9.8) = 2.78 s.

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Write all the possible integer values of x.
x > 1 and x ≤ 6
Separate answers with commas.

Answers

Step-by-step explanation:

college level ? what teacher puts such a question in on college level ? and you can't answer this ?

that is middle school basics.

what is going on ?

x can have in the defined interval the integer values

2, 3, 4, 5, 6

there, that was all to it ...

The National Oceanic and Atmospheric Administration tracks the amount of oysters harvested from the Chesapeake Bay each year.Years since 1900 2 28 53 67 78 89Oysters (metric tons) 54.2 22.5 7.38 5.28 3.52 2.38Find the exponential regression equation that models this data.Ay=-58(-0.964)OB. y = -58(0.964)Oc.y=58(0.964)*OD.y=58(-0.964)*Reset SelectionPreviouNext

Answers

Explanation

We are given the following table:

We are required to determine the exponential regression equation that models the data.

This is achieved thus:

We know that an exponential equation is given as:

[tex]y=ab^x[/tex]

Using a graphing calculator, we have:

From the graph, we have:

[tex]\begin{gathered} a=58 \\ b=0.964 \end{gathered}[/tex]

Hence, the answer is:

[tex]y=58(0.964)^x[/tex]

a number, twice that number, and one-third of that number added. the result is 20. what is the number?

Answers

Answer:

6

Step-by-step explanation:

Let x = the number

2x = twice the number

1/3 x = one-third of the number

x + 2x + 1/3 x = 20

Combine like terms.

3 1/3 x = 20

Change 3 1/3 to an improper number.

10/3 x = 20

Times by 3/10 on both sides.

3/10 • 10/3 x = 20•3/10

x = 60/10

x = 6

Check:

6 + 2(6) + 1/3(6)

= 6 + 12 + 2

= 20 check!

let the number be x:

x+2x+(1/3)x=20...multiply terms by 3

3x+6x+x=60

10x=60

x=6

The Cunninghams are moving across the country. Mr.Cunningham leaves 3 hours before Mrs. Cunningham. If he averages 55 mph and sheaverages 75 mph, how many hours will it take Mrs. Cunningham to catch up to Mr. Cunninham to catch up to mr.cunningham

Answers

Solution:

Remember, distance traveled is the rate times the time. (d = rt) Mrs. Cunningham will overtake Mr. Cunningham when they have traveled the same distance.

Mrs. Cunningham's equation will be:

[tex]d=\text{ }75t[/tex]

Since he was traveling 3 hours longer, Mr. Cunningham's equation will be:

[tex]d=55(t+3)[/tex]

If they travel the same distance, the equations can be set equal to each other:

[tex]\text{ }75t=55(t+3)[/tex]

applying the distributive property, this is equivalent to:

[tex]\text{ }75t=55t\text{ +165}[/tex]

this is equivalent to:

[tex]75t-55t\text{ = 165}[/tex]

this is equivalent to:

[tex]20t\text{ = 165}[/tex]

solving for t, we obtain:

[tex]t\text{ =}\frac{165}{20}=8.25[/tex]

So that, we can conclude that the correct answer is:

It will take Mrs. Cunningham 8.25 hours to overtake her husband.

Find the interest and future value of a deposit of $12,000 at 5.5% simple interest for 10 years.

Answers

Given:

Principal - $12,000

Annual Interest Rate = 5.5% or 0.055 in decimal form

Time in years = 10 years

Find: simple interest and future value

Solution:

The formula for getting the simple interest is:

[tex]Interest=Principal\times Rate\times Time[/tex]

Let's replace the variables in the formula with their corresponding numerical value.

[tex]Interest=12,000\times0.055\times10[/tex][tex]Interest=6,600[/tex]

The interest after 10 years is $6, 600.

So, if the interest is 6,600, the future value of the money is:

[tex]FV=Principal+Interest[/tex][tex]FV=12,000+6,600[/tex][tex]FV=18,600[/tex]

The future value of the deposited money after 10 years is $18, 600.

solve using the quadratic formulax^2+2x-17=0

Answers

[tex]\begin{gathered} x^2+2x-17=0 \\ \text{let's use the quadratic formula} \\ ax^2+bx+c=0 \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \text{ In this case:} \\ a=1 \\ b=2 \\ c=-17 \end{gathered}[/tex][tex]\begin{gathered} x=\frac{-2\pm\sqrt[]{2^2-(4)(1)(-17)}}{2(1)} \\ x=\frac{-2\pm\sqrt[]{4+68}}{2} \\ x=\frac{-2\pm\sqrt[]{72}}{2} \\ x=\frac{-2\pm6\sqrt[]{2}}{2} \\ ------------- \\ x=-1+3\sqrt[]{2} \\ or \\ x=-1-3\sqrt[]{2} \end{gathered}[/tex]

Use a graphing utility to graph the function and to approximate any relative minimum or relative maximum values of the function. (Round your answers to the nearest integer. If an answer does notexist, enter DNE.)

Answers

Given:

[tex]f(x)=4x-2x^2[/tex]

Required:

To find the relative minimum and relative maximum values of the function.

Explanation:

Consider

[tex]f(x)=4x-2x^2[/tex]

The graph of the function is

The relative maximum is at (1,2).

There is no relative minimum.

Final Answer:

The relative maximum : (1,2).

The relative minimum : DNE.

A)what height was the basketball thrown from? B)what is the maximum height the basketball went ?C)after how many seconds did the basketball reach its maximum height?D)how many seconds did it take for the basketball to hit the ground ? make sure you look at the exact value in the graph?pleaseeeeeeeeeeeeeeee

Answers

We have the following:

The questions can be found thanks to the graph of the statement

A)what height was the basketball thrown from?

The graph starts at the point (0, 6) therefore the basketball was thrown from 6 feet height

B)what is the maximum height the basketball went ?

The highest point of the graph is (2, 10), therefore the maximum height is 10 ft

C)after how many seconds did the basketball reach its maximum height?

The highest point of the graph is (2, 10), therefore the time it reached this height was 2 seconds

D)how many seconds did it take for the basketball to hit the ground ? make sure you look at the exact value in the graph?

The ground would be when the value of y is equal to 0, therefore according to the point (5.162, 0) the time was 5.162 seconds

The sum of two numbers is 40. If 2 is added to the larger number, theresult is equal to twice the smaller number. What are the two numbers?

Answers

We have 2 numbers. We can call them x and y, being x the smaller one.

The sum of this two numbers is 40, so we can write:

[tex]x+y=40[/tex]

We know that if 2 is added to the larger number (that we name as y), the result is twice the smaller number, that would be 2x. Then, we can express this as:

[tex]y+2=2x[/tex]

We can express y in function of x from the second equation and then replace it in the first equation to solve for x:

[tex]y+2=2x\Rightarrow y=2x-2[/tex][tex]\begin{gathered} x+y=40 \\ x+(2x-2)=40 \\ 3x-2=40 \\ 3x=40+2 \\ 3x=42 \\ x=\frac{42}{3} \\ x=14 \end{gathered}[/tex]

Now, we can calculate y as:

[tex]\begin{gathered} y=2x-2 \\ y=2(14)-2 \\ y=28-2 \\ y=26 \end{gathered}[/tex]

Answer: the two numbers are 14 and 26.

A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 higher than in the first. The tax in the first city was5%, and the tax in the second city was 6%. The total hotel tax paid for the two cities was $552.50. How much was the hotel charge in each city before tax?Note that the ALEKS graphing calculator can be used to make computations easier.

Answers

SOLUTION

Let us represent the hotel charge with different variables x and y:

Let the hotel charge before tax in the first city be x

Let the hotel charge before tax in the second city be y

Now, let us represent the word problem in equation form:

First, we were told that the charge before tax in the second city is $500 more than the charge before tax in the first city, this can be represented thus:

[tex]y=x+500\ldots\text{.eqn 1}[/tex]

Going forward in the question, we were told the tax for the first city (x) is 5%(0.05), and the tax for the second city is 6%(0.06). The total tax from both cities is $552.5, this expression can be written mathematically as:

[tex]0.05x+0.06y=552.5\ldots\ldots\text{eqn 2}[/tex]

Now, by solving equation 1 and equation 2 simultaneously, we will obtain the hotel charge in each city before tax. (that is the value of x and y).

[tex]\begin{gathered} y=x+500 \\ 0.05x+0.06y=552.5 \\ \end{gathered}[/tex]

Using, the substitution method of solving simultaneous equation, we will solve further:

[tex]\begin{gathered} \text{substitute equation 1 into equation 2} \\ 0.05x+0.06(x+500)=552.5 \\ 0.05x+0.06x+30=552.5 \\ 0.11x+30=552.5 \end{gathered}[/tex][tex]\begin{gathered} 0.11x=552.5-30 \\ 0.11x=522.5 \\ x=\frac{522.5}{0.11} \\ x=4750 \end{gathered}[/tex]

The hotel charge before tax in the first city is $4750.

Now, substitute the value of x into equation 1 to get the value of y (hotel charge before tax in the second city)

[tex]\begin{gathered} y=x+500 \\ x=4750 \\ y=4750+500 \\ y=5250 \end{gathered}[/tex]

The hotel charge before tax in the second city is $5250.

4. Which of the following rules is the composition of a dilation of scale factor 2 following (after) a translation of 3 units to the right?

Answers

ANSWER

A. (2x + 3, 2y)

EXPLANATION

Let the original coordinates be (x, y)

First, there was a dilation of scale factor 2.

This means that the coordinates become:

2 * (x, y) => (2x, 2y)

Then, there was a translation of 3 units to the right. That is a translation of 3 units on the horizontal (or x axis).

That is:

(2x + 3, 2y)

So, the answer is option A.

i inserted a picture of the question please state whether the answer is a b c or d please don’t ask questions, yes i’m following.

Answers

Solution

- We are asked to find the complement of rolling a 5 or 6 given a cube numbered 1 - 6.

- The complement of an event is defined as every other event asides the event in context.

- Other than rolling a 5 or 6, we can also roll a 1, 2, 3, or 4. This constitutes the complement of rolling 5 or 6.

Final Answer

The complement of rolling a 5 or 6 is:

{Rolling a 1, 2, 3, or 4} (OPTION B)

Find angle a in the taper shown,x = 9.342 inchesy = 6.692 inchesz = 2.952 inches

Answers

We need to find angle a in the figure.

We know that:

x = 9.342 inches

y = 6.692 inches

z = 2.952 inches

We can do so by finding the legs in the following triangle:

The adjacent leg is x. And the opposite leg is found by subtracting z from y, and then dividing the result by two (assuming the figure is symmetric):

[tex]\frac{y-z}{2}[/tex]

Thus, we have:

[tex]\begin{gathered} \sin a=\frac{\text{ opposite leg}}{\text{ adjacent leg}} \\ \\ \sin a=\frac{\frac{y-z}{2}}{x} \\ \\ \sin a=\frac{\frac{6.692-2.952}{2}}{9.342} \\ \\ \sin a=\frac{1.87}{9.342} \\ \\ a=\arcsin\left(\frac{1.87}{9.342}\right) \\ \\ a\cong11.55\degree \end{gathered}[/tex]

translate the following verbal statement into an algebraic equation and then solve: demetrius paid 9$ for a matinee movie. this is 1$ less than the price in the evening what is the price of the movie at night?use x for your variable equation ________x=______

Answers

Answer:

x = price of the movie at night

x = $9 + $1

Explanation:

We need to find the price of the movie at night, so, let's call x the price of the movie at night.

Then, the price of the matinee movie $9 is $1 less than the price in the evening. Therefore, we can write the following equation:

9 = x - 1

Solving for x, we get:

x = 9 + 1


Question 6 of 1
For f(x)-3x+1 and g(x)=x²-6, find (f-g)(x).
A. -x²+3x+7
OB.x²-3x-7
O C. 3x²-17
OD. -x²+3x-5

Answers

-x² + 3x + 7 is value of function  .

What is function in math?

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.

 f(x) = 3x + 1

 g(x) = x² - 6

Then,

According to the' question :-

(f - g)(x) = f(x) - g(x)

= 3x + 1 - (x² - 6)

= 3x + 1 - x² + 6

= -x² + 3x + 7

Hence,

Option 1st : -x² + 3x + 7 is Correct.

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Determine m such that the line through points (2m,4) and (m-3,6) has a slope of -5.

Answers

We have to use the formula of the slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where,

[tex]x_1=2m,x_2=m-3,y_1=4,y_2=6,m=-5[/tex]

Replacing all these values, we have

[tex]-5=\frac{6-4}{m-3-2m}[/tex]

Now, we solve for m

[tex]\begin{gathered} -5=\frac{2}{-m-3} \\ -m-3=\frac{2}{-5} \\ -m=-\frac{2}{5}+3 \\ m=\frac{2}{5}-3=\frac{2-15}{5}=\frac{-13}{5} \end{gathered}[/tex]Therefore, m must be equal to -13/5 in order to meet the given characteristics.

Can u please help me solve? I'm reviewing for finals.

Answers

Given:

Consider the given graph as a reference of the solution.

To find:

[tex]-3(u\cdot v)[/tex]

Explanation:

By analyzing the graph, we can define the coordinate of vector u and v:

[tex]\[\begin{align} & \vec{u}=(-8,-9)-(0,0)=(-8,-9) \\ & \vec{v}=(3,7)-(0,0)=(3,7)\end{align}\][/tex]

Now, let perform the dot product of two vectors,

[tex]\begin{gathered} u\cdot v=(-8,-9)\cdot(3,7) \\ u\cdot v=(-8)(3)+(-9)(7) \\ u\cdot v=-24-63 \\ u\cdot v=-87 \end{gathered}[/tex]

Now, perform the required operation,

[tex]\begin{gathered} -3(u\cdot v) \\ =-3(-87) \\ =261 \end{gathered}[/tex]

Final answer:

Hence, the required solution is:

[tex]-3(u\cdot v)=261[/tex]

Line Graph: This time you will not have the numbers on the x and y axis. You will need to decide which number to use (1, 2, 3... or 2,4,5.... Or 5, 10, 15...) 3: Creating Graphs Create a single line graph using the following table. Time goes on the x axis Rainfall goes on the y axis Make sure to do the following: Label the x and y axis Create a title 10 15 20 Time (minutes) 25 30 35 40 25 55 45 60 50 35 40 Speed (of car) (km/min)

Answers

Line Graph:

A line graph is used to show how the data points are changing with respect to time.

For Example:

A line graph may be used to show the average rainfall over the entire month.

For the given scenario we have,

X-axis = Time in minutes

Y-axis = Speed of car in km/min

Title of graph = Speed of Car Vs Time

Data points for time = 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60

Data points for speed = 25, 30, 35, 40, 25, 55, 45, 60 50 35 40

This is how the line graph looks like.

It is showing the speed of the car in km/min over an interval of 60 minutes in steps of 5 minutes.n steps of

Procedure:

• Draw and label the x-axis and y-axis.

,

• Label the data points on both axis.

,

• Draw the data points.

,

• Join the data points with a line.

,

• We are done.

,

Solve the equation. Select the correct answer below, and, if necessary, fill in the answer box to complete your choice.

Answers

Explanation

[tex]\begin{gathered} \frac{4}{y}+\frac{3}{4}=\frac{4}{4y} \\ Multiply\text{ through by the lowest common multiple }\Rightarrow4y \\ 4y\times\frac{4}{y}+\frac{3}{4}\times4y=\frac{4}{4y}\times4y \\ 16+3y=4 \\ 3y=4-16 \\ 3y=-12 \\ y=-\frac{12}{3} \\ y=-4 \end{gathered}[/tex]

Answer= y=-4

Use the definition of the derivative to find the derivative of the function with respect to x. Show steps

Answers

Answer: [tex]\frac{5}{2\sqrt{5x+3\\} }[/tex]

Step-by-step explanation:

First, use the chain rule to quickly find the answer so that you can check after you go through the ridiculous process that is the bane of every calculus 1 student's existence.

f(x) = (5x + 3)^(1/2)

(d/dx) (5x + 3)^(1/2) =

(1/2)(5x + 3)^(-1/2) * (5) =

5/[2(5x+3)^(1/2)]

Now, we enter the first gate of hell:

f'(x) = the limit as h approaches 0 of [(f(x+h) - f(x))/h]

lim as h -> 0 of [(5(x+h)+3)^(1/2) - (5x+3)^(1/2)/h]

lim as h -> 0 of [(5x+5h+3)^(1/2) - (5x+3)^(1/2) / h]

Multiply numerator and denominator by the conjugate of the numerator, which is (5x+5h+3)^(1/2) + (5x+3)^(1/2).  

lim as h -> 0 of

[√(5x+5h+3) - √(5x+3) ] [√(5x+5h+3) + √(5x+3) ]

______________________________________

h[√(5x+5h+3) - √(5x+3) ]

Simplify the numerator via FOIL:

5x+5h+3 + √(5x+5h+3)√(5x+3) - √(5x+3)√(5x+5h+3) - (5x+3)

The remaining radicals in the numerator cancel each-other, giving us:

5x + 5h + 3 - 5x - 3

Simplify Further:

5h

Now that we have simplified our numerator, let's continue:

lim as h -> 0 of (5)(h)/[(h)((5x+5h+3)^(1/2) + (5x+3)^(1/2))]

The h in the numerator cancels the h in the denominator.

lim as h -> 0 of 5/[(5x+5h+3)^(1/2) + (5x+3)^(1/2)]

Now, we directly substitute h with 0 in the equation.

5/[ (5x+3)^1/2 + (5x+3)^(1/2) ]

In the denominator, both sides of the addition sign are the same, so we can simplify it further to:

5/[ 2(5x+3)^(1/2) ]

This is the same answer we received using the chain rule, so it is correct!

3.) Write the explicit formula for the arithmetic sequence. 50, 47, 44, 41,...

Answers

all the terms are 3 less than its preceding term, simple!

So, the formula would be:

[tex]a_n=a+(n-1)d[/tex]

Where

a is the first term

d is the common difference (diff in 2 terms)

From the sequnce,

first term (a) is 50

common difference (d) = 47 - 50 = -3

So, we have:

[tex]\begin{gathered} a_n=a+(n-1)d \\ a_n=50+(n-1)(-3_{}) \\ a_n=50-3n+3 \\ a_n=53-3n \end{gathered}[/tex]

Explicit Formula:

[tex]a_n=53-3n[/tex]

solve a system of equations to solve the problem question 8

Answers

Let x be the cost of each juice and y be the cost of each BBQ.

4x + 2y = 16

4x + 3y = 21

Subtract the second equation from the first

y = 5

Substitute y = 5 into 4x + 2y = 16

4x + 2(5) = 16

4x + 10 = 16

4x = 16 - 10

4x = 6

x=1.5

Therefore, a juice cost $1.5 and a BBQ cost $5

So, if the Emdin family pu rchased 3 juice and 3 BBQ, then

cost of juice = 3 x $1.5 = $4.5

cost of BBQ = 3 x $5 = $15

Total money spent by Emdin family = $4.5 + $15 = $19.5

Let x be the cost of each juice and y be the cost of each BBQ.

4x + 2y = 16

4x + 3y = 21

Subtract the second equation from the first

y = 5

Substitute y = 5 into 4x + 2y = 16

4x + 2(5) = 16

4x + 10 = 16

4x = 16 - 10

4x = 6

x=1.5

Therefore, a juice cost $1.5 and a BBQ cost $5

So, if the Emdin family pu rchased 3 juice and 3 BBQ, then

cost of juice = 3 x $1.5 = $4.5

cost of BBQ = 3 x $5 = $15

Total money spent by Emdin family = $4.5 + $15 = $19.5

4. Ifline m has the equation y = 3x - 1, and line k is perpendicular to m and goes through the point (-4,3), find the equation of line k.

Answers

Answer:

The equation of the line k is

[tex]y=-\frac{1}{3}x+\frac{5}{3}[/tex]

Explanation:

Given that k is perpendicular to line m, defined as:

y = 3x - 1

the slope of k is the negative reciprocal of the slope of line m.

The slope of m is 3

The negative reciprocal of m is -1/3 (this is the slope of k)

Therefore, k is in the form

[tex]y=-\frac{1}{3}x+b[/tex]

Since this line passes through the point (x, y) = (-4, 3), we can use this to obtain the value for the y-intercept, b

[tex]\begin{gathered} 3=-\frac{1}{3}(-4)+b \\ \\ 3=\frac{4}{3}+b \end{gathered}[/tex]

Solving for b by subtracting 4/3 from both sides

[tex]\begin{gathered} b=3-\frac{4}{3} \\ \\ =\frac{5}{3} \end{gathered}[/tex]

The equation is therefore,

[tex]y=-\frac{1}{3}x+\frac{5}{3}[/tex]

Explain if the triangles are similar using SAS-. If they are similar, which angles are congruent and how do you know? (Explain your reasoning using evidence like a paragraph proof NOT a rigid motion proof!)

Answers

We have two triangles GBL and XYL.

From the picture we notice that the GL=39 and BL=34. We also notice that XL=30 and YL=27.

The SAS theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

This means that we need that:

[tex]\frac{GL}{XL}=\frac{BL}{YL}[/tex]

and that the angle between them is the same.

It is clear that the angle L is the same for both triangles, hence we only need to proof tha the sides are congruent, but in this case:

[tex]\frac{39}{30}\ne\frac{34}{27}[/tex]

since the sides are not proportional, we conclude that triangles are not congruent.

4. If line segment AB has coordinates A(-2,4) and B(2,0) and line segment
CD has coordinates C(3,4)and D(-3,-2), how would you describe these two
line segments?

Answers

These 2 lines perpendicular to each other on the graph.

What are perpendicular lines?

The two different lines that meet at an angle of 90 degrees are called perpendicular lines. Do your walls' connecting corners—or the letter "L"—share any similarities? They are the straight lines, referred to as perpendicular lines, that intersect at the proper angle. An angle of 90 degrees between two straight lines is known as a perpendicular. The illustration depicts a little square in between two perpendicular lines to indicate the 90° angle, which is also known as a right angle. Here, a right angle between the two lines Two lines that cross each other at a 90° angle are referred to as perpendicular lines in mathematics. I

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Which of the following graphs is a polynomial function with intercepts of(-2,0), (1, 0), and (4, 0)711-15 4NO C.O D.

Answers

Explanation

We are given the following:

We are required to determine which of the following graphs is a polynomial function with intercepts of

(-2,0), (1, 0), and (4, 0).

This can be achieved by looking for the graph that crosses the x-axis at the points -2, 1 and 4.

Hence, the answer is option C.

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