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

Answer: At point ([tex]-\frac{1}{2},-\frac{1}{2}[/tex])

Step-by-step explanation: Diagonal is a line uniting two opposite points. In a square, the diagonals intersect in a 90° and bisect each other, i.e., divides each diagonal into two segments of the same length.

In other words, the diagonals of a square meet at their midpoint, which is found as the following:

(x,y) = [tex](\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2})[/tex]

The opposite vertices of the given square are (-2,6) and (1,-7).

So, the intersection is

(x,y) = [tex](\frac{-2+1}{2} ,\frac{6-7}{2})[/tex]

(x,y) = [tex](-\frac{1}{2},-\frac{1}{2} )[/tex]

The diagonals of square with vertices (-2,6)(6,1)(1,-7)(-7,-2) intersect at point [tex](-\frac{1}{2},-\frac{1}{2} )[/tex].

Which of the following angles is corresponding with <5
2
7
8
4​

5x +1=4x +7
What is x

Karl wants to rent a bike for at most $55. He can rent a bike for $7 per hour plus a $9.50 flat fee. Any portion of an hour is charged as a full hour. What is the maximum number of hours Karl can rent the bike?

The graph below is the graph of a function.

True or False??

A program was created to randomly choose customers at a shoe store to receive a discount. The program claims 15% of the receipts will get a discount in the long run. The manager of the shoe store is skeptical and believes the program's calculations are incorrect. She selects a random sample and finds that 12% received the discount. The confidence interval is 0.12 ± 0.05 with all conditions for inference met.


Part A: Using the given confidence interval, is it statistically evident that the program is not working? Explain.


Part B: Is it statistically evident from the confidence interval that the program creates the discount with a 0.15 probability? Explain.


Part C: Another random sample of receipts is taken. This sample is six times the size of the original. Twelve percent of the receipts in the second sample received the discount. What is the value of margin of error based on the second sample with the same confidence level as the original interval?


Part D: Using the margin of error from the second sample in part C, is the program working as planned? Explain.

HELPPPPPP
Keisha is working to complete her summer reading in one week so she can relax for the remainder of the summer. She read (2x2 + 5x – 3) pages on Monday, (5x – 3) pages on Tuesday, and (6x2+ 2) pages on Wednesday. How many pages did she read in three days?

Find the value of each trigonometric ratio. Write your answer as a fraction in simplest form. (Example: If the answer is one-half, type 1/2.)

234 students in 9 different classrooms. What is the ratio of students to classrooms?

If flx) = 2x – 6 and g(x) = x-2x?, find each value.

i need help urgently lease :D

PLS HEL P ASAP NOT THAT HARD!! CONVERT TO ENTIRE RADICAL FORM

PLEASE HELP Find the product of( -3-2i ) and it’s conjugate.

Solve for z.
2
39z+ 17z = 0

1. Carlos tiene un terreno de 30.000 m2, él
vende 3/5 del total del terreno y recibe por
la venta $27.000.000.000; en 1/3 del
terreno restante va a construir una piscina
que tiene de profundidad desde 1,2 metros
hasta 1,8 m en forma descendente; en el
resto del terreno va a construir una casa.
De la información, se puede decir que Carlos
vendió cada m2 por un valor de
A. $1.500.000
B. $1.800.000
C. $2.100.000
D. $2.400.000
PROCEDIMIENTO:

​

4. Gabby makes banana bread at her bakery every Monday and Wednesday. Her
banana bread calls for the ratio of ingredients shown
5 cups of sugar for every 50 tablespoons of butter
80 tablespoons of butter for every 32 bananas

Four times a number is greater than 48

The resale value of a certain car when purchased new is $20,000. The car is expected to lose 10% of its value each year.
Which graph shows the predicted value of the car over time?
HELPPPP I’M GIVING 18 points ASAP




The graph that shows the predicted value of the car over time is the
a. Red graph, 1
b. Blue graph, g
c. Green graph, h
d. Orange graph, k

This makes sense because it’s y-intercept is at
a. 10,000
b. 20,000

And it
a. Increases
b. Decreases

Find the slope of the line that passes through (1, 1) and (-3, -5)

Please help me !!!!!

Theo wants to use a cookie recipe
that makes 36 cookies, but he wants
to increase the number of cookies to
54. If the recipe calls for 2 cups
of sugar, how much sugar should
he use?

I need help with this question

Juan cuts a piece of rope that is 16 meter long into 2 equal pieces.

What is the length of each shorter piece of rope?

Enter your answer as a fraction in simplest form by filling in the boxes

I NEED HELP WITH THIS ASAP!!!!

Lillian is in the business of manufacturing phones.
She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor.

Let CC represent the total cost, in dollars, of producing pp phones in a given day.

The table below has select values showing the linear relationship between pp and C.C.

Determine the fixed cost for rent and equipment.

P C
2 1200
4 1600
6 2000

Ashley practiced the piano for 41 minutes. She practiced 13 minutes less than(means subtraction) her brother did. Write and solve an equation to determine how long her brother practiced the piano.(identify the question)

Which inequality is equivalent to -m ≥ 15?

A. m ≥ 15
B. m ≥ -15
C. m ≤ -15
D. m ≤ 15

1. The surface area of a cube whose edges have lengths of 5 inches each is equal to which of the
following?
(1) 25 square inches
(2) 75 square inches
(3) 125 square inches
(4) 150 square inches
5 in
5 in
5 in

the question is in the picture. it’s math.

Find the area of the figure.
(Sides meet at right angles.)
6 cm
2 cm
2 cm
2 cm
2 cm
2 cm
2 cm
2 cm

Find the measure of this angle in the triangle.

Three people attend a concert for $155. Ten attend the same concert for $470. Find the rate of change.