Please ANSWER ASAP

Dorothy is trying to prove that △PQR is a right triangle.

The vertices of △PQR are at P(-2,5), Q(-1,1), and R(7,3).

Which TWO slope calculations can she use to correctly show that △PQR is a right triangle?
Select TWO of the answers below.
in the picture

Please ANSWER ASAPDorothy Is Trying To Prove That PQR Is A Right Triangle. The Vertices Of PQR Are At

Answers

Answer 1

The slope of C and D in the picture shows that ΔPQR is a Right Triangle.

What is slope of line?

Slope of line is defined as the angle of line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂).

If the product of slopes of any two sides is equal to -1, then those two sides are perpendicular

Given,

The vertices of △PQR are at P(-2,5), Q(-1,1), and R(7,3).

Slope of PQ = (y₂ - y₁)/(x₂ -x₁ )

                    = (1 - 5)/(- 1 - (-2)

                    = -4/1

                    = - 4

Slope of QR = (y₂ - y₁)/(x₂ -x₁ )

                    = 3 -  1/7 - ( -1)

                    = - 1 / 4

The product of Slope of PQ and QR is  - 1. It means lines PQ and QR is perpendicular to each other consequently △PQR is a right triangle.

Therefore,The slope of C and D in the picture shows that ΔPQR is a Right Triangle.

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Related Questions

solve -x+y=6 and 2x+5y=-12 using substitution method

Answers

x=-6 and y=0 are solutions for the equations 2x+5y=-12.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given equations,

-x+y=6...(1)

2x+5y=-12 ...(2)

From equation 1

y=6+x

Now put y value in 2

2x+5(6+x)=-12

2x+30+5x=-12

7x+30=-12

Subtract 30 on both sides

7x=-12-30

7x=-42

Divide both sides by 7

x=-6

Now plug in x value in equation 1

-(-6)+y=6

6+y=6

y=0

Hence, x=-6 and y=0 for the equations 2x+5y=-12.

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Sandpiper Company has 25,000 shares of cumulative preferred 1% stock, $150 par and 50,000 shares of $5 par common stock. The following amounts were distributed as dividends:

20Y1 $75,000
20Y2 15,000
20Y3 112,500
Determine the dividends per share for preferred and common stock for each year. Round all answers to two decimal places.

Answers

If Sandpiper Company has 25,000 shares of cumulative preferred 1% stock.

Dividends per share for preferred

Year 1 = $3 per shareYear 2 = $4.5 per shareYear 3 = $1 per share

Common stock

Year 1 = $0Year 2 = $1.95Year 3 =$1.75

How to find the dividends per share and common stock?

The arrear $75,000 of unpaid dividends from year 1 will be paid to preferred stockholders in year 2

= ($150 x 1% x 25,000) +$75,000

= ($37,500 + $75,000)

= $112,500      

                          Year 1             Year 2            Year 3

Distributed          $75,000        $15,000        $112,500

Preferred             $75,000       $112,500        $25,000

Common                $0                $97,500      $87,500

Dividends per share for preferred

Year 1 =  $75,000/25,000 shares

Year 1 = $3 per share

Year 2 = $112,500 /25,000 shares

Year 2 = $4.5 per share

Year 3 = $25,000/$25,000 shares

Year 3 = $1 per share

Common stock

Year 1 = 0/ 50,000 shares

Year 1 = $0

Year 2 =$97,500 / 50,000 shares

Year 2 = $1.95

Year 3 = $87,500 /50,000 shares

Year 3 =$1.75

Therefore the dividends per share for preferred is $3 per share, $4.5 per share, $1 per share and the common stock $0, $1.95, $1.75.

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You have saved $16,000 for a down payment on a house. Your bank requires a minimum down payment of 15%.
What is the maximum price you can offer for a home in order to have enough money for the down payment?

Answers

Take the number, multiply by 100, then divide by the percent.

(16000 x 100) / 15

This equals $106666.67.

I need assistance on This question

Answers

Answer: it would be A.

Step-by-step explanation: I did the quiz

74 % of 315
estimate using the rate per 100

Answers

Answer:

23.4920634921

Step-by-step explanation:

74/315 x 100% = 23.4920634921

THE ONE PIECE IS REAL

Answers

Do you need any sort of help sir?

Answer: im going to be king of the pierates

Step-by-step explanation: :)

Please help me I need help

Answers

Answer:

El intercepto en y es 6,1

Step-by-step explanation:

Espero que esto ayude

2:8=12:_____________

Answers

48 let the unknown part be x. And make it 2/8=

68. A researcher wants to know if the mean
times (in minutes) that people watch their
favorite news station are the same. Suppose
that Table 13.24 shows the results of a
study.
CNN
45
12
18
38
23
35
Table 13.24
FOX
15
43
68
50
31
22
Local
72
37
56
60
51
Assume that all distributions are normal, the
four population standard deviations are
approximately the same, and the data were
collected independently and randomly. Use a
level of significance of 0.05.

Answers

By using the concept of mean and standard deviation, it can be inferred that

The the drug stays in the system for more than 397 minutes

What is mean and Standard Deviation?

Suppose there is a data set and the average of the data set has to be calculated. To calculate the average of the data set, mean is used

To know about Standard Deviation, it is important to know about Variance

Variance is the sum of the square of deviation from mean.

Square root of the variance gives the standard deviation

Given n = 35,

Population mean  = 397

Population Standard Deviation  = 18

Here the sample size is large. So the distribution is approximately normal

To test :

Test statistic t =

                      = 1.97

p value at  = 0.0244

Since 0.0244 < 0.05, the null hypothesis is rejected

So the the drug stays in the system for more than 397 minutes

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The exponential form of log5 25 = 2 when written exponentially is 25 = 25.

False

True

Answers

Answer: never mind

Step-by-step explanation:

-6 1/4x= -3 1/8
Whats the value of x

Answers

Answer:

Step-by-step explanation:

-25/4(x)= -25/8

x= -(25/8) X (4/-25)= 1/2

Which statement describes the relationship between the function and its inverse? The range of both f(x) and f–1(x) is all real numbers. The domain of both f(x) and f–1(x) is all real numbers. The range of f(x) is y > 0 and the domain of f–1(x) is x > 0. The domain of f(x) is x > 0 and the range of f–1(x) is y > 0.

Answers

The true statement about a function and its inverse is, the range of both f(x) and f⁻¹(x) is all real numbers.

What is an inverse function?

The inverse of a function f is denoted by f⁻¹ and it exists only when f is both one-one and onto function.

f⁻¹ isn't the reciprocal of f. The composition of the function f and the reciprocal function f⁻¹ gives the domain value of x.

The true statement about a function and its inverse is,

The range of both f(x) and f⁻¹(x) is all real numbers.

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Find the HCF of 2, 4 and 4/5.
(A) 1/20 (B) 1/40 (C) 20 (D) 15

Answers

Answer:

1/20

Step-by-step explanation:

You can find the HCF (Highest Common Factor), also known as GCF, by dividing the numbers by the list of answers. And, if they all come out as whole numbers, then the answer you chose will be the answer. But, if there is another answer that also comes out as whole numbers for all of them, we choose the biggest one (HCF):

2 ÷ 1/20 = 40

4 ÷ 1/20 = 80

4/5 ÷ 1/20 = 16

So, 1/20 is definitely one of the answers, but we should check the other ones too:

2 ÷ 1/40 = 80

4 ÷ 1/40 = 160

4/5 ÷ 1/40 = 32

So, even though we also got whole numbers for this one, it isn't the answer because 1/20 is bigger than 1/40 so far. Let's try the last two answers:

2 ÷ 20 = 0.1

So, we already got our answer. We don't need to check the rest of the numbers, because the first one is already not a whole number. Let's try the final answer:

2 ÷ 15 = 0.13333333

This is not the right one either. So, our answer is 1/20 because it is the biggest one that came out as all whole numbers.

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Can you please help me with this question

Answers

Answer: I can’t read it

Step-by-step explanation:

HELP ME PLEASE THANKS

Answers

Answer: Answer choice B

Step-by-step explanation:

A rectangle has a length of 72cm and a width of 56cm. A second rectangle has the same area as this one, but its width is 21cm. What is the constant of variation.

Answers

192 cm is the length of rectangle.

What is rectangle?

An example of a quadrilateral with opposite sides that are both equal and parallel is a rectangle.

                     There are four 90-degree angles on its four sides, making it a four-sided polygon. A rectangle is a shape with only two dimensions.

Area of rectangle  = 72 * 56

                               = 4032 cm²

the second rectangle's area is same as first rectangle  .

             4032 = x * 21

               x = 4032/21

                 x = 192 cm

     

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Find the values of x, y, and z in the triangle.

(Image attached.)

Answers

Y: 2x+9+x=180
3x=171
x= 57

Z: 2x-9+x=180
3x=189
x= 63

X: 180=63+57+c
180= 120+x
60=x

So Y= 57 Z= 63 X= 60

9. A water tank is filled at a constant rate.
After 36 minutes, there are 648 gallons of
water in the tank. How many gallons of
water flowed into the tank each minute?
Use the model.
36
כp
648
regist
the upc
has 49 vor
the same nu
voters will

Answers

Answer: 18 gallons

Step-by-step explanation:

648/36 = 18

an equation for the direct variation function of the points (-8, -6) and (12, 9)

Answers

Answer:

Your answer is [tex]y=0.75x[/tex] or [tex]y=\frac{3}{4} x[/tex]

Step-by-step explanation:

Using the formula [tex]\frac{y1-y2}{x2-x1}[/tex] we get [tex]\frac{3}{4}[/tex]

Using the formula [tex]y=kx[/tex] we get [tex]y=\frac{3}{4} x[/tex]

I WILL GIVE BRAINLY TO WHOEVER HELPS!!


Select all the equations that represent the bar diagram.

Answers

Answer:

A and C

Step-by-step explanation:

I will mark brainliest, kinda urgent

Answers

The quadratic function that models the graph on the image is given as follows:

y = (x - 1)² - 1.

What is the quadratic function?

The features of the quadratic equation given from the graph are given as follows:

The vertex.The y-intercept.

The equation of a quadratic function with vertex (h,k) is defined as follows:

y = a(x - h)² + k.

In which a is the leading coefficient of the function.

From the graph, the coordinates of the vertex are given as follows:

(1,1).

As the vertex is the turning point of the function.

Hence the parameters h and k have values of:

h = 1, k = 1.

Hence:

y = a(x - 1)² + 1.

The y-intercept of the function is of:

y = 2.

This means that when x = 0, y = 2, hence the leading coefficient a is obtained as follows:

2 = a(0 - 1)² + 1

a = 1.

Hence the equation is of:

y = (x - 1)² - 1.

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Graph the equation. y = -(x-4)^2+4

Answers

use desmos graphing calculator. works like really good.

Find the product.
(wz + 8)³ =

Answers

We are given:

Find the product.

[tex](wz+8)^3[/tex]

Solution:

[tex]w^3z^3+24w^2z^2+192wz+512[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

f(x) = 3x² + 2x - 20 for x = 3

help please?​

Answers

Evaluating Functions

When we're given f(x) and x, we can evaluate the function by replacing every x with the given value, and simplifying.

Solving the Question

[tex]f(x) = 3x^2 + 2x - 20[/tex]

⇒ Replace every x with 3:

[tex]f(3) = 3(3)^2 + 2(3) - 20\\\\f(3) = 3(9) + 6 - 20\\\\f(3) = 27 + 6 - 20\\\\f(3) = 13[/tex]

Answer

[tex]f(3) = 13[/tex]

Step-by-step explanation:

A function is a relationship bound to one output for every single input the value of F(3) for the given function F(x)=3x²+2x-20 is 13.

What is a function?

The function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

A certain kind of relationship called a function binds inputs to essentially one output.

As per the given function,

F(x)=3x²+2x-20

Substitute, x = 3

F(3) = 3(3)^2 + 2(3) - 20

F(3) = 3(9) + 6 - 20

F(3) = 13

Hence "A function is a relationship bound to one output for every single input the value of F(3) for the given function F(x)=3x²+2x-20 is 13".

For more about the function,

When you apply the method to complete the square to find the solution to the equation
2x^2 +3x +3=4
What term should we sum/add on both sides of the equation?

A. 9
B. 9/4
C. 3/2
D. 9/16

Answers

Answer:

B

Step-by-step explanation:

2x²+3x=4-3=1

2x²+3x=1

to make it a perfect square we divide the coeff of X by 2 then square it and add it to both sides

=(3/2)²=9/4

I need help with this Please been struggling all day

Answers

Answer:  

                 x-intercepts: -0.16 and 3.16

                 vertex: (1.5, 5.5)

Step-by-step explanation:

● 4.Harsh purchased 6kg 025g of fruits and 4 kg 325of vegetables and put them in a bag. The bag with its contents weighs 12 kg. What is the weight of the empty bag?​

Answers

Step-by-step explanation:

6kg025g = 6025g

4kg 325g = 4325 g

6025+4325= 10350 g

12kg = 12000g

12000-10350 = 1650g = 1 kg 650 g

3. Find the length of the bridge.
20 ft
160 ft
32.5 ft

Answers

The answer is 32.5 your welcome

6. The table shows the number of goals scored by a soccer team in 20 matches.

4

1

1

2

2

1

1

3

0

4

0

3

1

2

2

2

3

4

(a) Represent the data on a dot diagram.

(b) Find

(i) the mean,

(ii) the median,

2

(iii) the mode, of the distribution.

3

Answers

a) The dot plot of the data-set is given by the second image shown at the end of the answer.

b - i) The mean of the distribution is of: 1.6 goals.

b - ii) The median of the distribution is of: 1.

b - iii) The mode of the distribution is of: 1 goal.

What are the measures?

The mean is given by the sum of all observations of the data-set, hence it is of:

Mean = (0 x 5 + 1 x 6 + 2 x 4 + 3 x 3 + 4 x 1 + 5 x 1)/20 = 1.6.

The median of the distribution is the middle value of the distribution, which is the value of which half the distribution is less than and half is greater than.

Adding in the frequency table given at the end of the answer, it is found that the middle term is of 1, as the sum of the frequencies reaches 10, which is half of the cardinality of 20, at a number of 1.

The mode is the term with the highest absolute frequency, hence it is also of one goal, as it has the highest absolute frequency, which is of 6.

The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as the table, in a different format.

Missing Information

The table is given by the first image shown at the end of the answer.

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Give the degree of the polynomial.

Answers

Answer: 7

This is a seventh degree polynomial.

Step-by-step explanation:

The degree of the polynomial is the highest exponent.

Step-by-step explanation:

7 is the degree of the polynomial

7 is the highest exponent.

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