4. A rectangle is a four-sided flat shape where every interior angle is a right angle.
Therefore, opposite sides are parallel and consecutive sides are perpendicular.
Rae is drawing rectangle PQRS on a coordinate plane. The rectangle has
coordinates P(-1,2), Q(2,4), R(x, y), and S(3,-4).

4. A Rectangle Is A Four-sided Flat Shape Where Every Interior Angle Is A Right Angle.Therefore, Opposite

Answers

Answer 1

Answer:

coordinates of R(x,y) is R(6,-2).

Step-by-step explanation:

A. we know that

The rectangle has coordinates P (-1,2), Q(2,4), R(x,y) and S(3,-4)

using a graph tool

see the attached figure

Step 1

Find the slope of the line PS

the slope is equal to

m=(y2-y1)/(x2-x1)

mPS=(-4-2)/(3+1)=-6/4=-3/2

Step 2

Find the equation of the line QR

we know that

PS and QR are parallel lines

so

their slopes are the same

mQR=-3/2

with mQR and the point Q(2,4) find the equation of the line

y-y1=m*(x-x1)

y-4=(-3/2)*(x-2)

y=(-3/2)*x+3+4--------> y=7-(3/2)*x

Step 3

Find the equation of the line SR

we know that

SR and QR are perpendicular lines

so

the product of their slopes is equal to minus one

mSR*mQR=-1

mSR=2/3

with mSR and the point S(3,-4) find the equation of the line SR

y-y1=m*(x-x1)

y+4=(2/3)*(x-3)

y=(2/3)*x-2-4---------> y=-6+(2/3)*x

Step 4

Find the intersection of the lines QR and SR

we know that

the intersection of the lines QR and SR is the point R

y=7-(3/2)*x------> equation 1

y=-6+(2/3)*x------> equation 2

equate equation 1 and equation 2

7-(3/2)*x=-6+(2/3)*x

7+6=(2/3)*x+(3/2)*x

13=(2/3)*x+(3/2)*x

Multiply by 6 both sides

6*13=4*x+9*x

13*x=6*13

x=6

find the value of y

y=-6+(2/3)*x------> y=-6+(2/3)*6---------> y=-6+4

y=-2

therefore, the coordinates of point R are (6,-2)

4. A Rectangle Is A Four-sided Flat Shape Where Every Interior Angle Is A Right Angle.Therefore, Opposite

Related Questions

Find the axis of symmetry f(x) = 2x2 - 4x.

Answers

Answer:

x=1

Step-by-step explanation:

The function graph is a parabola (branches pointing up). Vertex (1; -2). The graph is symmetrical about the x axis = 1

[tex]f(x)=2x^{2} -4x \\x_{0} =-b/2a=-(-4)/(2*2)=1\\f(1)=-2\\[/tex]

8+1/2(12)=x


Solve please

Answers

Answer:

8+ 1/2 (12) = x

8+ 6 = x

Therefore x = 14

Answer:

The answer is X = 14

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Flip the equation.

evaluate the expression -8 + (-15)​

Answers

Hey there!

ANSWER: [tex]-23[/tex]EXPLANATION:

[tex]-8+(-15)[/tex]

To easily solve this, try removing the negative and add 8 + 15.

[tex]8+(15)=23[/tex]

Now add back the negative.

[tex]-8+(-15)=-23\\-23(ANSWER)[/tex]

Hope this helps and have a great weekend!

[tex]\text {-TestedHyperr}[/tex]

(-1,0) (-10,-1) find coordinates

Answers

Answer:

Use a graph calculator

Step-by-step explanation:

y=2x+3 help please ...

Answers

Answer:

x=-3/2

y=3

Step-by-step explanation:

i hope this helps

Answer:

x=2x+3 Improper question not enough details The only answer can be found right now is 3x+3

Step-by-step explanation:

Combine like terms and give me brainliest please

Omar is playing a computer game. He starts with 0 points, wins 8 points, loses 6 points 4 times, and then wins 2 points. Which integer represents Omar’s score? –30 –14 16 34

Answers

The answer is -14. 0+8 =8 8 - (6x4) = - (-16 + 2 = -14

Answer:

-14

Step-by-step explanation:

Find the slope of the line that passes through point (2,8) and point (9,7).

Answers

Answer:

m = -1/7

Step-by-step explanation:

7 - 8 = -1

9 - 2 = 7

m = -1/7

State the domain and range of the given relation

(-4,3), (-1,-4), (0, -4), (2, 3), (3, -3) (4, 7)

Answers

Answer:

work is shown and pictured

What is 8.325 rounded to the nearest hundredth?

Answers

Answer:

8.3

Step-by-step explanation:

hope it helps

Polygon ABCD is a przimage of an enlargement with a scale factor of 3 and a
total area of 4. What is the total area of the enlarged image?

Answers

i dont think you have a whole question down and we need examples of the triangles so please shw examples

Answer:

hi not sure you need this still but its 36

Step-by-step explanation

Mario and his family are discussing how to pay for his college
education. The cost of tuition at the college that Mario wants to attend is
$7,500 per year. Mario's parents will pay 60% of the tuition cost every
year, and Mario will pay the rest. Mario has two years to save enough
money to attend his first two years of college. What is the minimum
amount of money he should save every month in order to reach his goal?

Answers

Answer:

$250 per month  for 2 years

Step-by-step explanation:

A rectangle that is 4 inches by 6 inches has been scaled by a factor of 7 . What are the side lengths of the scaled copy ?

Answers

Step-by-step explanation:

step one:

The question is incomplete it did not specify weather the scale was a reduction or an increase in the dimension of the rectangle.

step two:

let us assume it was to be an increase i.e 7x

the length would be 4*7= 28 inches

the width would be 6*7= 42 inches

step three:

Also, we assume it was to a decrease i.e 7x

the length would be 4/7= 0.57 inches

the width would be 6/7= 0.85 inches

What would 489,000,000,000,000,000 in scientific notation

Answers

Scientific notation is always #.##x10^#. Never ##.# or .###. Be careful with that.

For this question the answer is 4.89x10^17.

There are 15 zeros plus the 2 zeroes when you move the decimal over twice to 4.89

find the distance between (-6,4) and (-2,1)

Answers

Answer:

[tex]d=2.65[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2-(y_2-y_1)^2}[/tex]

Simply plug in your 2 coordinates into the formula to find distance d:

[tex]d=\sqrt{(-2-(-6))^2-(1-4)^2}[/tex]

[tex]d=\sqrt{(-2+6))^2-(-3)^2}[/tex]

[tex]d=\sqrt{(4)^2-9}[/tex]

[tex]d=\sqrt{16-9}[/tex]

[tex]d=\sqrt{7}[/tex]

[tex]d=2.65[/tex]

A hockey game had 2,058 fans Friday night. The baseball game has 1,300 fans that night. How many more fans were at the hockey game?

Answers

Subtract the number at the baseball game from the hockey game:

2058 - 1300 = 758

There was 758 more people at the hockey game.

Answer:

758 more fans were there

Step-by-step explanation:

Difference = Hockey fans - Baseball fans

= 2058 - 1300

= 758

4+10=-2(8x-7) this dosent make any sence to me. can someone help me out

Answers

Answer: x=0

Step-by-step explanation:

(you are trying to find x)

4+10=-2(8x-7)

2+5=(8x+7)

7=(8x+7)

0=8x

x=0

Pls rate this brainliest

What is the next two items in the row?
-1
2
5
8
Box 1
Box 2
Select the correct answer from each dropdown menu.
Box 1
[ Select ]
Box 2 [Select]
20 pts

Answers

Answer:

12, 15 would be the next two in that order

Which is greater?
[tex]4 \sqrt{20} [/tex]
or
[tex] \sqrt{40} [/tex]

Answers

Answer:

4√20

Step-by-step explanation:

√40 = √4 * √10 = 2√10

4√20 > 2√10

then:

the greater is:

4√20

Use the order of
operations to evaluate
the expression
(-8X14)-(-2X-10)

Answers

Answer:

the order of operations is .called BODMAS rule

B.brackets

O.of

D.division

M.multiplication

A.addition

S.subtraction

Step-by-step explanation:

= (-112)-(20)

= -132

a Number m plus 4 is greater than or equal to seven

Answers

Answer:

m ≥ 3

m is greather or equal to 3

Step-by-step explanation:

m + 4 ≥ 7

m ≥ 7 - 4

m ≥ 3

-7k + 5(6k + 5) < 209

Answers

Answer:

k < 8

Step-by-step explanation:

-7k + 30k + 25 < 209

23k < 209 - 25

23k < 184 /: 23

k < 8

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)

While on vacation in Canada, you notice that temperatures are reported in degrees Celsius. You know there is a linear
relationship between Fahrenheit and Celsius, but you forget the formula. you remember the freezing point of water is 0°C
or 32°F and its boiling point is 100°C or 212°F
a Write an equation that represents degrees Fahrenheit in terms of degrees Celsius. Let x represent the temperature in degrees Celsius and
let y represent the temperature in degrees Fahrenheit

Answers

Since , the relation is linear .

Let equation is y = mx + c .

Putting , x = 0 and y = 32 .

32 = c  .......( 1 )

Also , putting x = 100 and y = 212 .

We get :

212 = 100m + c .......( 2 )

Comparing equation 1 and 2 .

100m = 212 - 32

x = 1.8

Therefore , y = 1.8x + 32 .

Hence , this is the required solution .

[tex]y=\dfrac{9}{5}x+32[/tex]  represents degrees Fahrenheit in terms of degrees Celsius. where  x represent the temperature in degrees Celsius and y represents the temperature in degrees Fahrenheit.

Temperature can be expressed in different units like degrees Celsius and degrees Fahrenheit.

Let us consider two variables x and y as following:

x represent the temperature in degrees Celsius

y represent the temperature in degrees Fahrenheit

Equation depicting relation between variable x and y is

[tex]y-y_1=m(x-x_1)[/tex]...........................1

where,  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Using the given conditions:

[tex](x_1,y_1)=(0,32) \text{\ and\ }(x_2,y_2)=(100,212)[/tex]

Substituting to calculate the value of m,

[tex]m=\dfrac{212-32}{100-0}\\\\m=\dfrac{180}{100}\\\\m=9/5[/tex]

From equation 1

[tex]y-32=\dfrac{9}{5}(x-0)\\y-32=\dfrac{9}{5}x\\y=\dfrac{9}{5}x+32[/tex]

Thus, an equation that representing degrees Fahrenheit in terms of degrees Celsius is  [tex]y=\dfrac{9}{5}x+32[/tex].

Learn more about unit conversion, here:

https://brainly.com/question/28969559

#SPJ3

Suppose S is between R and T. Use the Segment Addition Postulate to solve for the variable. Round to three decimal places. RS = 9y − 2 ST = y + 7 RT = 26

Answers

Answer:

The variable y = 2.100

Step-by-step explanation:

Here, we are told to solve for the variable y.

We are asked to use the segment addition postulate. In summary, the postulate is of the opinion that given 3 points X,Y and Z, we can only say that these 3 points are collinear(lie on the same line) if they obey the formula below;

XZ = XY + YZ

Now, we have that S is between R and T.

Mathematically that means;

RT = RS + ST

from the question, we are told that RT = 26, RS = 9y-2 and ST = y + 7

Now, insert these values into the alphabetical equation;

26 = (9y-2) + (y + 7)

26 = 9y-2 + y + 7

26 = 9y+y -2 + 7

26 = 10y + 5

26-5 = 10y

10y = 21

y = 21/10

y = 2.1

Which is y = 2.100 to three decimal places

f f(x) = 0, what is x?

0 only
–6 only
–2, 1, or 3 only
–6, –2, 1, or 3 only

Answers

Should be 0 only because anything times 0 is 0



Factorize : 3x2 – 10xy + 8y2

Answers

[tex]3x^2-10xy + 8y^2=\\\\=3x^2-6xy-4xy + 8y^2=\\\\=3x(x-2y)-4y(x-2y)=\\\\=(x-2y)(3x-4y)[/tex]

(y+2a)(10x+3) is your answer

pls help i need help

Answers

Answer:

4.69, hope this helps, Thank you

4.69 is the right Answer

Please help on number 9 and 10. Will mark brainliest.

Answers

Answer:

9. 1.24 mL

10. $5.93

Step-by-step explanation:

Question 9:

If the dosage of medicine is 0.01 mL per pound of weight of the patient, and the patient's weight is 124 pounds, we can set up an equation to solve for how much medicine the patient would need to take:

Dosage of medicine per pound of body weight x Total body weight = Total medicine required

                                                               OR

0.01 * w = m,

where w is total body weight and m is total medicine required.

To solve for the dosage the patient needs, just plug the numbers into the right places (124 for w and leave m as it is):

0.01 * 124 = m

1.24 = m

Therefore, a patient with a body weight of 124 pounds would need a 1.24 mL dosage.

Question 10:

To make the multiplication easier, we could rewrite 15% as 0.15 ( because 15% = 15/100):

0.15 * Total bill = Total tax payed for bill (Also can be written as [tex]\frac{15}{100} * 39.51[/tex])

                                 OR

0.15*39.51 = Total tax

5.9265 = Total tax

5.93 = Total tax <-------- (rounded)

How many terms are in the polynomial?

x^2 – 121

A. 2
B. 3
C. 4
D. 5

Answers

There are two terms x^2 is one and 121 is the other one.

The answer is 2 terms.

QUICK NEED HELP FAST 60 POINTS TWO WHOEVER ASNWERS FIRST

Answers

225

Just multiply 5x3 and find area by a=s^2

Brainliest?

At Nancy's Newsstand, 3 magazines cost $15.00. How many magazines could you buy with $45.00?

Answers

Answer:

9

Step-by-step explanation:

If three magazines cost $15 then that means that each magazine costs $5. So we do 5 divided by 45 which equals 9. SO the answer is 9!

If you are happy with my answer I would like branliest:)

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