Coordinate system Questions and Answers

A rectangular garden is to be constructed with 36 ft of fencing. What dimensions of the rectangle (in ft) will maximize the area of the garden? (Assume the length is less than or equal to the width.)

In the figure below, O is between M and P, and N is the midpoint of MO. If NP=13 and NO=8, find MP.

Graph the equation y == − x² + 2x + 3 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.

What is the x-intercept of the line R, whose equation is seen below? (A)-2.5 (B) 2.5 (C) 5 (D) 10

Geometry b. The two vertices that form the non- congruent side of an isosceles triangle are (-5, 3) and (2, 3). What are the coordinates of the other vertex? c. The coordinates of the endpoints of the hypotenuse of a right triangle are (7, 5) and (3, 1). Find the other vertex. There are two possible solutions. d. Three vertices of a parallelogram are (0, 0) (4, 0), and (0, 6). Find the fourth vertex. There are three possible solutions.

Let g(x)=6x²-18x +8, F₁(x) = g(x), F₂(x)=F/₁(x)=F₁l. -P2, P₁ = 7, then the range of P, such that f(x) has exactly 10 points of non-differentiabili is; (a) (1,5,7) (B) [2, 5, 8] (c) [2,9] (d) (1,8)

(cos 180°)²-(sin 90°)²

Find the length of the arc, s, on a circle of radius r intercepted by a central angle θ. Express the arc length in terms of x. Then round your answer to two decimal places Radius, r =10 inches; Central angle, θ=130°

Given a real object in the form of a square. In an image, the object is distorted into a trapezoid with edge points: A(0,0), B(4,0), C(3,3), D(5,2) Please do Affine Rectifying of the above object by calculating the line at infinity I

Find a set of parametric equations of the line that passes through the point (-2, 5, -1) and is parallel to the xy-plane and yz-plane.

Sketch a graph of f(x)= -2 if x ≤ -1 x-1 if -1<x≤2 -1 if x>2 Note: Be sure to include closed or open dots, but only at breaks in the graph.

Write 4.12 as a mixed number and as an improper fraction. Write your answers in simplest form.

Write 5.325 as a mixed number and as an improper fraction. Write your answers in simplest form.

Austin went to see a baseball game. The game started at 11:34 AM and ended at 3:10 PM. How long was the game?

A chocolate chip cookie recipe asks for two and one half times as much flour as chocolate chips. If one and one quarter cups of flour is used, what quantity of chocolate chips would then be needed, according to the recipe?

Convert 62°C to degrees Fahrenheit.

The ratio of men to women working for a company is 3 to 2. If there are 125 employees total, how many men work for the company?

A brownie recipe asks for one and three quarters times as much sugar as chocolate chips. If two and one third cups of sugar is used, what quantity of chocolate chips would then be needed, according to the recipe?

Convert 96°F to degrees Celsius.

Latoya has a rectangular poster. The poster is 1.5 meters long and 1.2 meters wide. What is the area of the poster in square centimeters? Do not round your answer. Be sure to include the correct unit in your answer.

Draw the graph of the function. y = -x² - 80x+ 2000

Write 3.7 as a mixed number and as an improper fraction. Write your answers in simplest form.

Find the least common denominator (LCD) of 11/70 and 7/20.

Felipe jogs 1 3/5 miles from his house. He then jogs 2 1/4 miles farther. How many miles has Felipe jogged in all? Write your answer as a mixed number in simplest form.

Karen used 43/4 gallons of gas on Saturday and 31/3 gallons of gas on Sunday. How many more gallons of gas did she use on Saturday? Write your answer as a mixed number in simplest form.

Write 212/13 as a decimal rounded to the nearest tenth.

Write 4.75 as a mixed number and as an improper fraction. Write your answers in simplest form.

A shipment of 9 tons of sugar is separated into containers of equal size. If the shipment fills 4-5 containers, how much sugar can one container hold?

Estimate 4891/42 by first rounding each number so that it has only 1 nonzero digit.

Estimate 363/48 by first rounding each number so that it has only 1 nonzero digit.

Here are the numbers of children in 15 elementary school classes. 20, 18, 18, 17, 20, 20, 19, 16, 19, 16, 16, 16, 18, 18, 20 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."

Here are the numbers of times 11 people ate out last month. 2, 8, 1, 6, 4, 7, 3, 9, 10, 5, 0 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."

The following list gives the number of siblings for each of 11 students. 4, 1, 0, 3, 2, 1, 1, 4, 2, 4, 2 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."

On a survey, 6 students reported how many minutes it takes them to travel to school. He 14, 12, 3, 11, 3, 3 Find the mean travel time for these students. If necessary, round your answer to the nearest tenth.

The following list gives the number of pets for each of 13 students. 3, 3, 2, 1, 3, 2, 0, 4, 0, 0, 0, 0, 2 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."

A group of 5 students was asked, "How many hours did you watch television last week?" Here are their responses. 18, 5, 10, 8, 14 Find the mean number of hours for these students. If necessary, round your answer to the nearest tenth.

Here are the numbers of children in 9 elementary school classes. 14, 17, 19, 20, 15, 22, 16, 21, 24 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode."

A bag has 7 brown marbles and & red marbles. Half of the red marbles are made of glass. A marble is selected at random from the bag. What is the probability that it is a red, glass marble? Write your answer as a fraction in simplest form.

A bag contains 9 cards numbered 1 through 9. A card is randomly chosen from the bag. What is the probability that the card has an odd number on it? Write your answer as a fraction in simplest form. 0 ola 5 ?

Answer the following questions. (a) 25.6% of what is 21.12? (b) 127.5 is what percent of 51?

Identify the hypothesis and the conclusion of each statement. 10. If the dog barks, it will wake the neighbors. 11. If a set of points has two endpoints, it is a line segment. 12. School will be cancelled if it snows more than six inches. 13. I will call my friend if I finish my homework. 14. All butterflies are arthropods. 15. All students should report to the gymnasium.

In parallelogram HIJK, the measure of angle H is 45°. Find the measure of angle J. Explain how you know. Find the measure of angle K. Explain how you know.

1. Given the points A(-2, 5) and B(6, -3) determine the a) Midpoint of line segment AB b) Length of line segment AB

A hurricane is threatening the small town of Timmons. On a map with coordinates in kilometers, the hurricane is located at (5, -15) and the emergency center in Timmons is located at (12, -58). Approximately how far is the emergency center to the hurricane? Round your answer to the nearest tenth of a kilometer.

A triangle has vertices A(3, 4), B(-2, 0), and C(5, 0). Prove that the area of the triangle formed by joining the midpoints of triangle ABC is one quarter the area of triangle ABC.

A quadrilateral midsegments has vertices at A(-3,1), B (-5,-9), C (7,-1) and D (3,3). Prove that the of the quadrilateral form a parallelogram.

Find the coordinates of a point with an angle of 288° on a circle of radius 5.6 with a center located at (-2,3). Give your answers as decimals rounded to 3 places.

Using an appropriate angle of rotation for the rotated conic section given in general form below, write the equation in standard form. x² - 4xy-2y²-6=0

Let e1=(1,0), e2= (0, 1), x1 = (1,-4) and X2 (8,-1). Let T: R² -> R² be a linear transformation that sends e1 to x1 and e2 to x2. If T maps (5, 6) to the vector ÿ, then

Find the distance between each pair of points. Round to the neares tenth, if necessary. A(5,0), B(12, 0) D(-1,-2), E(-3,-4) P(-6,-4), Q(6,-8) B(0, 0), C(-5,6) J(-3,-2), K(3, 1) M(2, 3), N(5, 7) X(-4, 0), Y(3, -3) T(6, 4), (2, 2) G(-6, 8), H(-6,-4) S(-6,-4), T(-3,-7)