The equations of sides of a triangle are 2x-3y+5=0, 2x+y=7 and 2x+5y=3. Find the coordinates of the vertices.

Answers

Answer 1

Answer:

Vertices A B y C

A ( 2 , 3 )    B ( -1 , 1 )  C ( 3, 1 )

Step-by-step explanation:

We have to solve a two-equation system, by pair of equations as follows

equation (1)   2x - 3y + 5 = 0

equation (2)  2x + y -7    = 0

Solving this system we find let´s say vertex A

0x - 4y +12 = 0      y = 3

Then x ?

2x - 3y + 5 = 0

2x - 9 + 5 = 0     ⇒ 2x = 4     x = 2

Then vertex A ( 2 , 3 )

From equation (1) and (3)

2x - 3y + 5 = 0

2x + 5y - 3 = 0

Agan subtracting (1) - (2)

0x -8y + 8 = 0

y = 1    and      

2x + 5y = 3

2x + 5 = 3

2x = -2

x = -1

Vertex B ( -1 , 1 )

Finally from equation (2) and (3) we get the third vertex C

2x + y - 7 = 0

2x + 5y - 3 = 0

0x -4y -4 = 0

y = 1

2x + y = 7

2x + 1 = 7

2x = 6

x = 3

C ( 3 , 1 )


Related Questions

In January 2019, United Airlines (UAL) had a market capitalization of $22.9 billion, debt of $13.4 billion, and cash of $4.0 billion. United Airlines had revenues of $41.3 billion. Southwest Airlines (LUV) had a market capitalization of $27.5 billion, debt of $3.4 billion, cash of $3.7 billion, and revenues of $22.0 billion. a. Compare the market capitalization-to-revenue ratio (also called the price-to-sales ratio) for United Airlines and Southwest Airlines. b. Compare the enterprise value-to-revenue ratio for United Airlines and Southwest Airlines. c. Which of these comparisons is more meaningful? Explain.

Answers

Answer:

sorry dont know Hope u understood

For her party can Nina fill fewer than 10 bags with treats between 10 and 20 bags between 20 and 30 bags or more than 30 bags explain

Answers

The correct option regarding the number of bags filled by Nina, using proportions, is given as follows:

Between 20 and 30 bags.

What is a proportion?

A proportion is a fraction of an amount, and this fraction is combined with the unit rates of the problem and basic arithmetic operations, especially multiplication and division, to find the desired amounts in the context of the problem.

In this problem, a proportion is applied to find the number of bags filled by Nina, which is given by the division presented as follows:

Number of bags = Number of treats / Treats per bag.

The values of these parameters are given as follows:

Number of treats: 78.Number of treats per bag: 3.

Hence the numeric value of the expression is:

Number of bags = 78/3 = 26.

Which is a number between 20 and 30.

Missing Information

The problem states that Nina had 78 treats, and each bag has 3 treats, then it asks the correct option regarding the number of bags.

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what is the equation of the line parallel to the line y= -2x +4 that passes through the point (0,-2)?

Answers

Answer:

y=-2x-2

Step-by-step explanation:

Since this line is supposed to be parallel it will have the same slope.

y=-2x+b

no plug in the (0,-2)

-2=b

y=-2x-2

Do numbers below 0 make sense outside of the context of temperature? If you think so, give some examples to show how they make sense. If you don’t think so, give some examples to show otherwise.

Answers

Answer:

Yes, they make sense outside the context of temperature.

Step-by-step explanation:

If you are standing in a line, and mark your current position as 0 then if you take two steps ahead it can be counted as positive and if you take two steps back from your current position it can be counted as negative. The positive and negative can denote your forward and backward movement respectively.

If we denote the growth in companies revenue as positive and dip as negative then it would also make sense. A positive number would mean profit for the company while a negative sign would show loss.

() 10 % of Glen's coins are from Denmark. If he has 11 coins from Denmark, how many
coins does Glen have in his entire collection?
Pick the model that represents the problem.
0%
0
0%
0
10% 20% 30% 40% 50% 60% 70% 80% 90% 100%
Submit
11
10% 20% 30% 40% 50% 60% 70% 80% 90%
?
How many coins does Glen have in his entire collection?
coins
?
100%
11

Answers

Glens have 110 coins in his entire collection.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Glens coins from Denmark are eleven 11.

These 11 coins are 10% of his entire coins.

We need to find how many coins Glens has.

Let x be the entire collection of Glens coins

10/100x=11

0.1x=11

Divide both sides by 0.1

x=110

Hence, Glens have 110 coins in his entire collection.

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How much water should we add to 20 kg of seawater to change its concentration from 3% to 2%?
( SHOW WORK PLZZ)

Answers

Answer:

10 kg

Step-by-step explanation:

In 3% concentration of 20 kg of seawater, there will be \(\frac{20*3}{100}=0.6\) kg of salt.

So, if it is a 2% solution of seawater,

Then 2 kg salt will be there in 100 kg solution.

So, 0.6 kg salt will be there in \(\frac{100*0.6}{2}=30\) kg of solution.

So, to make a solution from 3% to 2% we have to add (30 - 20) = 10 kg of water with a 20 kg solution. (Answer)

7. Evonne earns $10.50 per hour for a 40 hour week. She earns time and ahalf (1 1/2 times the normal $10.50 per hour rate) for all hours workedOVER 40 hours. Answer the following question based on Evonne's informationWhat was Evonne's total overtimeThis Week Evonne worked 50 hours.earnings?A $157.50B. $105.00C. $125.50

Answers

Answer:

The total earnings for 10 hours overtime worked is;

\(\begin{gathered} T=\text{ \$15}.75(10) \\ T=\text{ \$157.50} \end{gathered}\)

Explanation:

Given that;

Evonne worked 50 hours.

Amount of overtime is;

\(\begin{gathered} 50-40 \\ =10\text{ hours} \end{gathered}\)

The pay rate is;

\(\begin{gathered} \text{normal time = \$10.50 /hour} \\ \text{Overtime = 1.5(\$10.50) =\$}15.75\text{ /hour} \end{gathered}\)

The total earnings for 10 hours overtime worked is;

\(\begin{gathered} T=\text{ \$15}.75(10) \\ T=\text{ \$157.50} \end{gathered}\)

A pair of jeans originally cost $85 but you are on sale for 45% off what is the sale price

Answers

Answer:

The sale price is $46.75

Step-by-step explanation:

A pair of jeans originally cost $85 but you are on sale for 45% off what is the sale price

The price of a pair of jeans that has on sale for 45% off with the original price of $85 is $46.75.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

A pair of jeans originally cost $85 but you are on sale for 45% off. Then the price of a pair of jeans will be

→ 0.55 × $85

→ $46.75

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How long will it take a train to time travel 765 miles at 85 miles per hour

Answers

Answer:

9 hours of travel

  765miles/ 85mph= 9 hours

Step-by-step explanation:

Answer:

08:53:39

rounded up to 9

Step-by-step explanation:

Below is the graph of y= |xl.
Translate it to make it the graph of y=
v = (x+3| +4.

Below is the graph of y= |xl.Translate it to make it the graph of y=v = (x+3| +4.

Answers

I127:6638927263672829172

The sum of eight times a number and negative exceeds twelve.

Answers

Answer:8x + -4 > 12

8x > 16

x > 2

Step-by-step explanation:

How to write 507,021 in expanded form

Answers

Answer:

500,000 + 7,000 + 20 + 1

Step-by-step explanation:

Answer:

The expanded form of 507,021 is 500,000 + 7,000 + 20 + 1.

Step-by-step explanation:

500,000 + 7,000 + 20 + 1

Explanation:

When writing numbers in expanded form, you are essentially breaking the number apart so that the value of every individual digit is shown.

Here are some examples of a number and its expanded form:

· 874,923 = 800,000 + 70,000 + 4,000 + 900 + 20 + 3

· 3,905 = 3,000 + 9,000 + 5

· 42,069 = 40,000 + 2,000 + 60 + 9

* note:

if the number you are going to write in expanded form includes a zero (ex: the number 42,069), you do not need to include the zero when writing each digits value. However, if you or your instructor prefers to include the value of zero, you may. To solve this problem, I will not be including the value of zero.

we understand what expanded form is, let's write 507,021 in expanded form.

Start by writing a list for the values of each individual digit:

· 500,000

· 7,000

· 20

· 1

Next, write the numbers so that they show they must be added.

500,000 + 7,000 + 20 + 1

16. A math exercise states that the circumference of a certain circle is 23.55 inches with diameter d and rounded to 3.14. Larry says the diameter is 5 inches; Rosie says it is 8 inches, and Rashida says it is 6.5 inches. Which, if any, of the students is correct? Use the equation 3.14d=23.55 to justify your answer.​

Answers

None of the students is correct because the diameter of this circle is 7.5 inches.

How to calculate the circumference of a circle?

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

C represents the circumference of a circle.D represents the diameter of a circle.r represents the radius of a circle.

Substituting the given parameters into the circumference of a circle formula, we have the following diameter;

23.55 = 3.14 × D

D = 23.55/3.14

Diameter, D = 7.5 inches.

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Can someone help me please?

Can someone help me please?

Answers

Answer:

4.5in, 8in

Step-by-step explanation:

So, what is radius?

Well, diameter is the distance from one side of a circle to the other.

Radius is half of diamater, or the distance from any side to the middle of the circle.

Problem #1:

In this case, the distance from side of the circle to the other side is 9.

Since this is side to side, it must be diameter. We know that radius is half of diameter, so radius is:

9/2

=

4.5

This is your radius.

Problem #2:

In this case, the distance from the one side to the other side of the circle is 16. Again, this is the diameter. So the radius will be half of 16:

16/2

=

8

So this is your radius.

Hope this helps!

Answer:

4.5 in. and 8 ft. respectively

Step-by-step explanation:

The diameter of a circle is the product of the radius and 2. So, the radius would be the quotient of the diameter and 2.

Sam found a new tennis racket on sale for 10%
off. If he paid $36 for the tennis racket, what was
the original price?

Sam found a new tennis racket on sale for 10%off. If he paid $36 for the tennis racket, what wasthe original

Answers

Answer: 40

Step-by-step explanation:

Because 36 / 0.9 = 40

4,8,12,16,20,24,28,32,36,40 that equals 100 percent

Answer:  

40  i hope this helps all of you guys!                                                        

A piece of wire 18cm long is bent to form a rectangle. If its length is x cm, obtain an expression for its area in terms of
* and hence calculate the dimensions of the rectangle with maximum area

Answers

Answer:

To form a rectangle, the piece of wire will have two sides of length x and two sides of length (18 - 2x)/2 = 9 - x. Therefore, the perimeter of the rectangle is given by:

2x + 2(9 - x) = 18 - 2x

The area of the rectangle is given by:

A = x(9 - x)

Expanding this expression, we get:

A = 9x - x^2

To find the dimensions of the rectangle with maximum area, we can differentiate the area expression with respect to x:

dA/dx = 9 - 2x

Setting this equal to zero to find the maximum:

9 - 2x = 0

x = 4.5

So, one side of the rectangle is x = 4.5 cm and the other side is (18 - 2x)/2 = 4.5 cm. Therefore, the dimensions of the rectangle with maximum area are 4.5 cm by 4.5 cm.

To calculate the maximum area, we can substitute x = 4.5 into the area expression:

A = 9(4.5) - (4.5)^2 = 20.25 cm^2

Step-by-step explanation:

Can you please find and solve the unknown variable.

Can you please find and solve the unknown variable.

Answers

The value of x is; x = 3.14

Here, we have,

from the given diagram, we get,

there is a right angle triangle.

we have to find the value of x.

we know that,

Let the angle be θ , such that

cos θ = base / hypotenuse

here, we get,

cos 17 = 3/x

so, we have,

0.956 = 3/x

so, x = 3.14

Hence, The value of x is;x = 3.14

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Two points A and B are on opposite sides of a building. A surveyor selects a third point to place a transit. Point C is 49 feet from point A and 71 feet from point B. The angle ACB is 45°. How far apart are points A and
B? Round your answer to the nearest tenth as needed.
O A 111.2 ft
O B. 99.5 ft
O c. 70.61
OD. 50.2 ft

Answers

Yes b is correct hope this helps

Answer:

According to the Law of Cosines, the correct answer would be D) 50.2 feet

The value of y is directly proportional to the value of x. If y=64 when x= -8, what is the value of y when x = 2 ??

Answers

Answer:

y = -16

Step-by-step explanation:

y = kx for proportion questions like this


y = kx

y = 64, x = -8


64 = -8k


Divide by -8 on each side


64/-8 = -8k/-8

-8 = k


Then to find y when x = 2, use y = kx again


y = kx

k = -8

x = 2


y = 2(-8)

y = -16

At x = 2 , the value of y will be ; y = -16.

It is given that y is directly proportional to the value of x and at x = - 8 , value of y is ; y = 64.

We have to calculate the value of y at x = 2.

What will be the value of y ; if x = 4 in equation x - y = 2 ?

The value of y will be , y = 2 .

Let's assume ;

y = k × x  ----- ------ ------ -------- ------ ----- ---- -------- Equation 1

It is given in the question that ;

at x = -  8 , y = 64

Putting these values in equation 1 to find the value of k.

64 = - 8 × k

Dividing on both sides by - 8

k = - 8

Now , to find value of y at x = 2, we need to use equation 1 again ;

⇒ y = - 8 × 2

y = -16

Thus , at x = 2 , the value of y will be ; y = -16.

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Use the given graph of f to find a number such that if 0 < |x − 3| < then |f(x) − 2| < 0.5.

Use the given graph of f to find a number such that if 0 &lt; |x 3| &lt; then |f(x) 2| &lt; 0.5.

Answers

Answer:

x=3, = -2

Step-by-step explanation:

What is the percent error of an egg that weighs 2 oz using 2.5 oz as original value

Answers

Answer:

Percent error = 25%

Step-by-step explanation:

Find:

Percent error

Given:

Weight of egg = 2 oz

Original value = 2.5 oz

Computation:

Percent error = [(Original value - Weight of egg) /  Weight of egg]100

Percent error = [(2.5 - 2) / 2]100

Percent error = 25%

Name the property for the given statement. 2 + 4 = 2 + 4

Answers

Answer:Commutative Property

Step-by-step explanation:

Commutative property is correct !

what time is it from where y’all live ?

what time is it from where yall live ?

Answers

Answer:

1 Pm

Step-by-step explanation:

Answer:

3:18 Pm

Step-by-step explanation:

Nice picture of mute button

Given f(x) = 2x² - 3 and g(x) = x + 1 determine g(f(3)​

Answers

Answer:

g(f(3)) = 16

Step-by-step explanation:

Step 1: Define

f(x) = 2x² - 3

g(x) = x + 1

f(3) = x = 3

Step 2: Find f(3)

f(3) = 2(3)² - 3

f(3) = 2(9) - 3

f(3) = 18 - 3

f(3) = 15

Step 3: Find g(15)

g(15) = 15 + 1

g(15) = 16

g(f(3)) = 16

The ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6. Terrence owns 36 models cars. How many model cars does Jim own?

Answers

The number of Jim's model car is 48

How to determine the number of JIm's car

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

Ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6

This means that

Jim : Terrence = 8 : 6

Also from the question, we have

Terrence owns 36 models cars

This means that

Terrence = 36

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

Jim : 36 = 8 : 6

Multiply by 6

Jim : 36 = 48 : 36

So, we have

Jim = 48

Hence, the number of car is 48

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What are some combinations you can buy for lunch?

How much are you spending on your choice

What are some combinations you can buy for lunch?How much are you spending on your choice

Answers

Answer:

You can spend all of the money by getting 1 sandwich and 2 things of chips

Step-by-step explanation:

1 sandwich =4$

1 bag of chips =3$

4 + 3 =7

7+ 3= 10

Find the measurement of m

Find the measurement of m

Answers

The measure of the inscribed angle G in the circle is 85 degree.

What is the measure of angle G?

An inscribed angle is simply an angle with its vertex on the circle and whose sides are chords.

The relationhip between an an inscribed angle and intercepted arc is expressed as:

Inscribed angle = 1/2 × intercepted arc.

Since the circle equals 360 degrees, we can determine the intercepted arc DF.

Hence:

Arc DF = 360 - ( 70 + 120 )

Arc DF = 360 - 190

Arc DF = 170°

Now, plug the value into the above formula:

Inscribed angle = 1/2 × intercepted arc.

Inscribed angle G = 1/2 × 170°

Inscribed angle G = 85°

Therefore, angle G has a measure of 85 degree.

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456x5 please help me I don’t know how to work this out but I think you do 5x6 which is 30 than I don’t know after that??

456x5 please help me I dont know how to work this out but I think you do 5x6 which is 30 than I dont

Answers

Answer:

20,320

Step-by-step explanation:

6*5=30 PUT YOUR 3 UP AND KEEP THE ZERO ON BOTOM THEN 5*5 IS 25 PUT YOUR 2 UP AND YOUR 5 ON BOTTOM THEN 5*4= 20 PUT YOUR 2 UP AND 0 ON BOTTOM THEN PUT A ZERO UNDER YOUR FIRST 0 AND THEN TAKE 6*4= 24 PUT YOUR 2 UP AND YOUR 4 ON BOTTOM AND THEN TAKE 4*5= 20 PUT YOUR 2 UP AND 0 ON BOTTOM AND THEN TAKE 4*4 = 16 AND TAKE AND PUT YOU 1 UP AND YOUR 6 ON BOTOM AND ADD THEM TOGETHER

Jeff and George each have a box of popcorn. How much more popcorn does the bigger box hold than the smaller box?

Answers

Answer:

there in not enough information in your question to get an answer

Answer:

Part 1: Jeff Part 2: 130

Step-by-step explanation:

Which is true about the solution to the system of inequalities shown? y > 3x + 1 y < 3x – 3 On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded. Only values that satisfy y > 3x + 1 are solutions. Only values that satisfy y < 3x – 3 are solutions. Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions. There are no solutions.

Answers

There are no solutions to the system of inequalities Option (d)

Inequalities are a fundamental concept in mathematics and are commonly used in solving problems that involve ranges of values.

A system of two inequalities is a set of two inequalities that are considered together. In this case, the system of inequalities is

y > 3x + 1

y < 3x - 3

The inequality y > 3x + 1 represents a line on the coordinate plane with a slope of 3 and a y-intercept of 1. The inequality y < 3x - 3 represents another line on the coordinate plane with a slope of 3 and a y-intercept of -3. We can draw these lines on the coordinate plane and shade the regions that satisfy each inequality.

The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.

We can start by analyzing the inequality y > 3x + 1. This inequality represents the region above the line with a slope of 3 and a y-intercept of 1. Therefore, any point that is above this line satisfies this inequality.

Next, we analyze the inequality y < 3x - 3. This inequality represents the region below the line with a slope of 3 and a y-intercept of -3. Therefore, any point that is below this line satisfies this inequality.

To determine which values satisfy both inequalities, we need to find the region that satisfies both inequalities. This region is the intersection of the regions that satisfy each inequality.

When we analyze the regions that satisfy each inequality, we see that there is no region that satisfies both inequalities. Therefore, there are no values that satisfy the system of inequalities shown.

There are no solutions to the system of inequalities y > 3x + 1 and y < 3x - 3 by analyzing the regions that satisfy each inequality on a coordinate plane. The lack of a solution is determined by the fact that there is no region that satisfies both inequalities.

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Complete Question :

Which is true about the solution to the system of inequalities shown?

y > 3x + 1

y < 3x – 3

On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.

Options:

a)Only values that satisfy y > 3x + 1 are solutions.

b)Only values that satisfy y < 3x – 3 are solutions.

c)Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.

d)There are no solutions.

Answer:

D

Step-by-step explanation:

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