A square has the vertices at (- 2, 6), (6, 1), (1, - 7) , and (- 7, - 2) . At what point do the diagonals of the square intersect?

Answers

Answer 1

Answer:

Intersection point is: (-1/2, -1/2)

Step-by-step explanation:

Notice from the attached image of the points on the plane, that opposite vertices are for example:

(-2, 6) and (1, -7), and we know that in a square, the diagonals intersect dividing themselves in equal parts. So what we need to find is the midpoint of the segment that joins (-2, 6) and (1, -7) to find where the diagonals intersect.

We use the formula for the midpoint:

x-midpoint = (x1 + x2) / 2

y-midpoint = (y1 + y2) / 2

In the case of the points (-2, 6) and (1, -7) these become:

x-midpoint = (-2 + 1) /2 = -1/2

y-midpoint = (6 + -7) / 2 = -1/2

A Square Has The Vertices At (- 2, 6), (6, 1), (1, - 7) , And (- 7, - 2) . At What Point Do The Diagonals

Related Questions

Carlos purchased 6 dog leashes and 5 cat brushes for $32. Later in the summer, he purchased 3 more dog leashes and 2
cat brushes for $14. What were the prices of the leashes and brushes?

Answers

Answer:

all together the total amount of money spent was 46$

Step-by-step explanation:

eremy constructed this solid by combining two rectangular prisms and a square pyramid.

A rectangular prism with a length of 6 meters, width of 14 meters, and height of 2 meters. A rectangular prism with a length of 5 meters, width of 8 meters, and height of 3 meters. A square pyramid with a base of 6 meters by 6 meters and triangular sides with a height of 7 meters.


What is the surface area of this figure?

_____________ square meters
320
322
368
386

Answers

368 square meters is the answer

3. Andrea is buying snacks at the basketball game. The snacks are $2.25 apiece. She wants to buy 4
snacks. Would the ordered pair (4,9.25) be a solution to this problem? Explain why or why not.
If this is not a solution, provide the correct solution for an x-value of 4.
a) Yes
b) No, the ordered pair (9,4) is a solution to this problem.
c) No, the ordered pair (4, 1.77) is a solution to this problem
d) No, the Ordered pair (4,9) is a solution to this problem.

Answers

Answer:

D - No, the ordered pair (4,9) is a solution to this problem.

Step-by-step explanation:

If you plotted the number of snacks as the x-axis, and then the total cost of the snacks on the y-axis, you would be able to graph a line and see the cost of snacks based on the number purchased. If you were going to write an equation for this, it would be y=2.25x (or y = 2 1/4 x)

In this case, as each snack is the same price, the y-values for each x would be as such: (1, 2.25) <- one snack, $2.25;

(2, 4.5)

(3, 6.75)

(4, 9)

So that is why the ordered pair of (4,9) would be a solution to this problem.

Hope that makes sense!

David has 6 blue shirts and 4 red shirts. Write the ratio of David's red shirts to
total shirts as a fraction in simplest form.

Answers

Answer:

2/5

Step-by-step explanation:

4/10 is the original but it simplifies to 2/5

Calculate the slope of the line on the graph using the
formula:
72-V1
m
X2 - X
The slope of the line is
_____m/s.

Answers

Given:

The graph of a line which represents position (m) at time (s).

To find:

The slope of the line.

Solution:

Formula for slope:

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

From the given graph it is clear that the line passes through two points (0,0) and (1,4).

Using the above formula, we get

[tex]m=\dfrac{4-0}{1-0}[/tex]

[tex]m=\dfrac{4}{1}[/tex]

[tex]m=4[/tex]

Therefore, the slope of the line is  4 m/s.

Answer:

4

Step-by-step explanation:

21 The graph of an exponential function is shown on the grid.
Based on the graph, which statement about the function is true?
A The range is the set of all real numbers less than 0.
B The domain is the set of all real numbers greater than-4.
C The range is the set of all real numbers greater than 0.
D The domain is the set of all real numbers less than-4.

Answers

Answer:

C The range is the set of all real numbers greater than 0.

Step-by-step explanation:

We see that the function has positive range and no restriction of domain.

A The range is the set of all real numbers less than 0.

Incorrect, positive values only

B The domain is the set of all real numbers greater than-4.

Incorrect, the domain can get any value

C The range is the set of all real numbers greater than 0.

Correct, the range is restricted to positive values

D The domain is the set of all real numbers less than-4.

Incorrect, no restrictions

Answer:

C is the correct answer!!

Step-by-step explanation:

hope this helped!!

Select the correct answer.
What is the end behavior of this radical function?

Answers

Answer:

A.

Step-by-step explanation:

As x approaches positive infinity, f(x) approaches positive inifinty.

What is the axis of symmetry for the graph of y = -2x + 16x - 7?
O x= -8
O x = 8
O x=-4
O x = 4
I need the answer

Answers

Answer:

The axis of symmetry for the graph of y = -2x² + 16x - 7 will be:

x = 4

Hence, the last option i.e. x = 4 is the correct option.

Step-by-step explanation:

Given the equation

[tex]y\:=\:-2x^2\:+\:16x\:-\:7[/tex]

For a parabola in standard form y = ax² + bx + c

The axis of symmetry is the vertical line that goes through the vertex x = -b/2a

so

The axis of symmetry for y = ax² + bx + c is x = -b/2a

In our case,

[tex]a=-2,\:b=16[/tex]

Therefore,

x = -16/2(-2)

x = -16 /-4

x = 16/4

x = 4

Therefore, the axis of symmetry for the graph of y = -2x² + 16x - 7 will be:

x = 4

Hence, the last option i.e. x = 4 is the correct option.

helllllpppp the question is down here vvvv:

Answers

Answer:

Hope this helps

Step-by-step explanation:

I believe the ¨Five less than twice a number" is

[tex]2x-5[/tex]

¨Five times the sum of two numbers¨

[tex]5(x+y)[/tex]

¨The difference of 5 and a number squared¨

[tex](5-x)^{2}[/tex]

Answer:

First Box is:  5 - 2x

Second Box is: 5(x + y)

Third Box is: (5 - x)²

Step-by-step explanation:

The First one said "Five less than twice a number"

It said Five less than, meaning 5 (subtract)Twice mean 2 and a number means a VARIABLE. Answer: 5 - 2x

The second one said "Five times the sum of two numbers"

Five times means 5 (multiplication)Sum means adding and two numbers means two variables.Answer: 5(x + y)

The thrird one said "The difference of 5 and a number, squared"

The difference means subtracting of 5a number means a variablesquared, means an exponent of 2Answer: (5 - x)²

All of these answers seems to fit the descriptions.

Factor using GCF then AC:
9x2 - 39x - 30

Answers

Answer:

3(x^2-13x-10)

Step-by-step explanation:

You can only factor out 3, as that is the only thing these have in common.

Given that £1=$1.62

b) How much is $1405 in £?

Please help

Answers

Answer:

No b answer is 867.2839506173£ will be of $1405

Divide $1405 by $1.62 will give you £867.28. That is your answer. Does that help your predicament?

what is 125% of 12.8

Answers

What is 125 percent (calculated percentage %) of number 12.8? Answer: 16.

The required value of the given percentage is 16. "125%" represents 125 parts out of 100, which is equivalent to 1.25 times the original value.

To find 125% of 12.8, we can multiply 12.8 by 1.25.

First, we convert the percentage to decimal form by dividing it by 100. So, 125% becomes 1.25.

Next, we multiply 12.8 by 1.25:

12.8 × 1.25 = 16.

Therefore, 125% of 12.8 is 16.

Multiplying 12.8 by 1.25 increases it by 25% or adds one-quarter of the original value. Thus, the result of 16 represents an increase of 25% from 12.8.

Thus, the required value of the given percentage is 16.

Learn more about percentages here:

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What is the definition of acre

Answers

Answer:

The definition of Acre is a unit of land area equal to 4,840 square yards (0.405 hectare). :)

Step-by-step explanation:

Answer:

a unit of land area equal to 4,840 square yards

Step-by-step explanation:

Suppose you are driving. You notice that after driving for 4 hours, you are 135 miles from Seattle. You continue driving, and calculate that after driving 8 hours you are 255 miles from Seattle. What is your rate? How far do you drive every 9 hours? How far from Seattle are you after driving for 17 hours?

Answers

Answer:

1,423

Step-by-step explanation:

Your average rate is 36.7 miles per hour over nine hours

What is Average speed?

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

In the first 4 hours, you've averaged 33.75 miles per hour, but this is apparently not sustainable, since at 9 hours you've only averaged 36.7 miles/hour.

You continue driving, and calculate that after driving 8 hours you are 255 miles from Seattle. you've averaged 31.8 miles per hour

So the answer is that your average rate is 36.7 miles per hour over nine hours, although you did manage a faster burst of 50 mph for four hours once.

Learn more about the average speed here :

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I NEED HELP PLZ , i’m stuck and i don’t get it

Answers

Answer:

Step-by-step explanation:

2x+6+2x+6+2x+6=180

why, bc they all have equal sides

6x+18=180

6x=162

x=27

Work out the percentage change to 2 decimal places when a price of £125.99 is increased to £150.

Answers

Answer:

Percent change is 19.06%

Step-by-step explanation:

It is given that:

Price before change = £125.99

Price after increase = £150

Change = 150 - 125.99 = £24.01

Percent of change = [tex]\frac{Change}{Price\ before\ change}*100[/tex]

Percent of change = [tex]\frac{24.01}{125.99} * 100[/tex]

Percent of change = 0.1906 * 100

Percent of change = 19.06%

Therefore,

Percent change is 19.06%

Answer:

19.06

Step-by-step explanation:

i will mark u as the brainlest if you can help me with 4 question

Answers

Answer:

B, C, D

Step-by-step explanation:

They have the < or > they are inequalities

If x = 5y - 1 and 2x + 5y = -32, what is the value of y?​

Answers

Answer:

y = 2 and five together

Step-by-step explanation:

Write an expression for the total amount Carla has paid after a certain number of months

Answers

Answer:

$25.00+$36.00m

Step-by-step explanation:

The perimeter of a square is 68 inches. Write and solve an equation to find the length of its sides.

Answers

Answer:

17

Step-by-step explanation:

68/4=17

all 4 sides are equal lengths since it is a square.

Answer:

Step-by-step explanation:

68+68+68+68= (or 68x4) 272 inches

Make x the subject of the formula
p+x=t

Answers

Answer:

x=t-p

Step-by-step explanation:

just move p to the other side and since it crosses the equals sign so you have to change it from positive to negative

Answer:

x=t-p

Step-by-step explanation:

To make x the subject of the formula, you’d have to take p to the other side. And when (+p) crosses over to the other side, it changes to (-p) because of the equality sign.

How many degrees does the polynomial 6c9 have

Answers

Answer:

None, there are no degrees/exponents

Step-by-step explanation:

Hope this is helpful :)

Answer:

has three terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term

how do i do
x^2 - 7x - 34 = 10
^ = power to
can u answer this now please its urgent i only got 2 mars how do i get the other 2 marks and the bottom bit of the question got me 2 marks thew top bit didnt get me anything

Answers

Answer:

x = 11 / x = - 4

Step-by-step explanation:

x² - 7x - 34 = 10

x² - 7x - 34 - 10 = 10 - 10

x² - 7x - 44 = 0

x² + 4x - 11x - 44 = 0

x (x + 4) - 11 ( x + 4) = 0

(x - 11)(x + 4) = 0

(x - 11) = 0 / (x + 4) = 0

x = 11 / x = - 4

Hope that helps! (If it doesn't, please tell me what you want me to answer or explain, or how I can improve the answer.) :)

7g+9g=

i need this asap

Answers

Answer:

16g

Step-by-step explanation:

add them together

Answer:

16g

Step-by-step explanation:

They both have the same variable so they can be added together.

Brandon has 6 eggs. He needs 2/3 of the eggs to make an omelet. How many eggs does he need?

Answers

Answer:

4

Step-by-step explanation:

He need 4 eggs to make an omelet.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Brandon has 6 eggs.

And, He needs 2/3 of the eggs to make an omelet.

Here, Number of eggs = 6

And, He needs 2/3 of the eggs to make an omelet.

Hence, We get;

Number of egg to make an omelet = 2/3 of 6

                                                      = 2/3 × 6

                                                      = 4

Thus, Number of eggs to make an omelet = 4

Learn more about the multiplication visit:

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Find the vertex following equation: x2 + 10x = 21

A: (5, -46)
B: (-5, 54)
C: (-5, -46)
D: (5, 54)

Answers

i thinks that something is wrong i don't get you answers but i checked my task twice.

Can someone solve this?

Answers

Answer:

[tex]y = \frac{1}{9} x + 3\frac{1}{3}[/tex]

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

y=1/9x+10/3

Explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula  to find the line perpendicular to  y = − 9 x − 4 .

the sum of a number and 7 is -12

Answers

Answer:

Please put the rest of the answer

Step-by-step explanation:

Answer: 7?

Step-by-step explanation:


What are the
coordinates of
the outlier in the
scatterplot
shown?

Answers

Answer:

6,4

Step-by-step explanation:

F is the whole way out there, away from all the other dots and has a 6,4 coordinate.

6,4 I think I’m not sure

The planet Mercury takes 56.6 Earth days to rotate once about axis. About how many times does it rotate about its axis during one Earth year?

Answers

Answer:

6.3

Step-by-step explanation:

56.6÷365=

6.3

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