Coordinate system Questions and Answers

Trapezoid ABCD has an area of 400 in^2. If the height of the trapezoid is 16 in and one of the bases measures 18 in, find the length of the other base.

The standard equation of a circle with center (-4, 3) and radius 7 is a (x-4)² + (x+3)² = 7 b (x + 4) + (y - 3) = 7 c (x-4)² + (x+3)² = d (x+4)² + (y-3)² = 49

One of the letters from the word RECKLESSNESS is chosen at random. a. What is P(S)? Explain your reasoning. b. What is P(vowel)? Explain your reasoning. a. P(S) is_____ since there are 12 letters in the word and_____ of the letters are S. b. P(vowel) is______ since there are 12 letters in the word and _____of them are a vowel.

Use the given equation of the circle to identify the center and radius. (x - 14)² + (y - 9)² = 25 (A) Center: (14,-9) Radius: 25 (B) Center: (14,9) Radius: 5 (C) Center. (-14, -9) Radius: 5 (D) Center: (-14,-10) Radius: 5

Given △BCD- △LMN. Which statement is true? Select one: 1. BC. LM - CD. MN = BD. LN 2. BC + LM= CD + MN= BD + LN 3. BC/CD= DL/LM= LM/MD 4. BC/LM= CD/MN= BD/LN

Which rectangle is similar to a rectangle with length 40 cm and a width 50 cm? 1. any rectangle with perimeter 180 cm 2. a rectangle with dimensions 2 cm and 2.5 cm 3. a square with perimeter 180 cm 4. a rectangle with dimensions 50 cm and 60 cm

Use the information provided to write the equation of the circle. Center (-3,-10) Radius: 2 A) (x-3)^2+ (y + 10)^2 = 4 B) (x+3)^2 +(y + 10)^2 = 16 C (x+3)^2 +(y + 10)^2 = 4 D) (x-10)^2 + (y + 3)^2 - 4

A student wants to put five distinct songs on her playlist from a collection of 50 songs. Determine the number of different ways she can do this if the order in which the songs appear does not matter. The number of different ways she can do this is __________.

Find a parametric representation for the surface. The part of the plane z = x + 4 that lies inside the cylinder x^2 + y^2 = 9 (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of u and/or v.) ________ (where 0 ≤ 3, 0 ≤ v ≤ 2π)

For each pair of points below, find three quantities: the slope between the points, the midpoint between the points and the distance between the points. Show all calculations. Simplify all answers. (a) A(-4,-10) and B(8,6) (b) F(-1,3) and G(9,-3)

2. Point Q lies on ST , where point S is located at (-2,-6) and point T is located at (5,8). If SQ: QT = 5:2, where is point Q on ST ? The coordinates of point Q are ________

2.) What is the vertex on the graph of f(x)=5|x – 3|-12 ?

Solve the linear equation. 6x + 3 = 4x + 37 What is the solution? Select the correct choice below. (A) The solution set is { ___ } (B) The solution set is {x| x is a real number} (C) The solution set is Ø.

A cone with radius 6ft and height 10ft has a volume of 120 π cubic ft. what is the volume of cone formed when the radius of the original cone is doubled ? The volume of cone is ____ cubic ft when the radius is doubled

Which statement is true if triangle MNP ~triangle XYZ? (A) △MNP and △XYZ always have equal perimeters. (B) Corresponding angles of △MNP and △XYZ are always congruent. (C) △MNP and △XYZ always have equal areas. (D) Corresponding sides of △MNP and △XYZ are always congruent.

Jason's family uses about 800 kWh (kilowatt-hours) of energy per month. One barrel of oil contains 42 gallons and has approximately 1.7 MWh (megawatt-hours) of energy. Based on the information, about how many gallons of oil are needed to supply the energy used by Jason's family in 1 month? (Note: 1 kW = 1,000 watts and 1 MW = 1,000,000 watts.) A 51 gallons B 11 gallons C 25 gallons D 20 gallons

The function P(x) = (x + 3)(2x + 1)((x - 2) is transformed to a produce the new function y = N(x), where N(X) = P(1/2x) What are the zeroes of the function y = N(x)? a. 3/2, 1/4, -1 b. -3/2, -1/4, 1 c. 6, 1, -4 d. -6, -1,4

Find an nth-degree polynomial function with real coefficient satisfying the given conditions. you are using a graphing utility, use it to graph the function and verify the real zero and given function value. n = 4 -1, 3 and 4+2i are zeros f(1) = 52 f(x) = (Type an expression using x as the variable Simplify your answer

Select the correct answer. Which statement implies that A and B are independent events? A). P(BIA) = P(B⋂A) B). P(B|A) = P(B) P(A) C)P(B|A) = P(A) D) p(BIA) = P(B)

A letter is selected at random from the English alphabet. What is the probability that the letter comes after D in the alphabet? A.) 1/2 B.)11/13 C.) 21/26 D.) 5/26

Select the correct answer. Consider event A and event B. What is the probability that event B occurs, given that event A has already occurred? A. P(B ∩ A) /P(A). P(B) B. P(B ∩ A) / P(A) C. P(B ∩ A)/P(B) D. P(B ∪ A) /P(B)

Select the correct answer. What is the general form of the equation of a circle with center at (a, b) and radius of length m? A. x²+y²-2ax- 2by + (a² + b² - m²) = 0 B. x²+y²+ 2ax + 2by+ (a² + b² - m²) = 0 C. x²+y² -2ax - 2by+(a + b - m²) = 0 D. x²+y²+2ax+ 2by+ a² + b² = -m²

Type the correct answer in each box. Write each answer as a fraction, using / for the fraction bar. Wesley draws a card at random from a well-shuffled deck of playing cards. The probability that Wesley draws an ace or a jack is _____The probability that Wesley draws a number card or a black card is ______

The probability that Edward purchases a video game from a store is 0.67 (event A), and the probability that Greg purchases a video game from the store is 0.74 (event 6). The probability that Edward purchases a video game (given that Greg has purchased a video game) is 0.67. Which statement is true? A. Events A and B are independent because P(AlB) = P(A) B. Events A and B are dependent because P(AIB) = P(A) C. Events A and B are independent because P(AIB) = P(B) C. Events A and B are dependent because P(AIB)≠ P(A)

The probability of event A is x, and the probability of event Bis y. If the two events are independent, which condition must be true? A. P(A| B) = x B. P(AIB) = y C. P(B|A) = X D. P(B|A) = xy

Sketch a graph of the function f(x) = - 2 sin(x).

The endpoints of AB are A(2, 3) and B(8, 1). The perpendicular bisector of AB is CD, and point C lies on AB. The length of CD is √10 units. The coordinates of point C are ___. The slope of CD is ___. The possible coordinates of point D are ____ and ____

Type the correct answer in each box. Round your answers to the nearest hundredth. Of a total of 100 buses operated within a particular town, 48 usually run on time and 36 of these buses are owned by Jerry. Of the 52 buses that usually run behind schedule, only 7 are owned by Jerry. The probability that a bus is owned by Jerry, given that it % The probability that a bus is owned by Jerry, given that it runs on time, is runs late, is %

[24] Which polar point is not approximately equivalent to the polar point (12, 6)? A. (12, 12.28) B. (12,-.28) C. (-12, 2.86) D. (-12,-2.86) E. all of these are approximately equivalent

Two six-sided fair dice are rolled. The probability that at least one number is odd and the sum of the two numbers is even is ____. The probability that exactly number is 6 and the product of the two numbers is at most 15 is _____.

An artist wants to make alabaster pyramids using a block of alabaster with a volume of 576 cubic inches. She plans to make each pyramid with a square base area of 3 square inches and a height of 4 inches. At most, how many pyramids can the artist make from the block of alabaster? A). 136 B). 144 C). 154 D). 166 E). 172

The vertices of a triangle are A(7, 5), B(4, 2), and Q9, 2). What is m∠ABC? A. 30° B. 45° C. 56.31° D. 78.69°

Type the correct answer in each box. A circle is centered at the point (5. -4) and passes through the point (-3,2). The equation of this circle is (x+ ____)²+ (y + ____ y²= _______

In a school in Florida, 60% of the students stay in the school's dormitory and 40% stay with their families. The school records show that 30% of the students living in the dormitory and 20% of the students living with their families obtain As on exams. If a student chosen at random from the school receives As, the probability that the student lives in the school dormitory is 1/26 1/18 9/26 9/13

Select the correct answer. A company is about to launch a new cell phone model. In the past, 40% of its cell phones have launched successfully. Before any cell phone is launched, the company conducts market research and receives a report predicting favorable or unfavorable sales. In the past, 70% of successful cell phones and 20% of unsuccessful cell phones received favorable reports. What is the probability that the new cell phone will receive a favorable report, given that the cell phone launch is successful? A. 0.45 B. 0.54 C. 0.64 D. 0.70

James has a 5 digit passcode on his computer. The first three digits are numbers from 0 to 9 and the last two digits are letters from the alphabet. If the numbers and letters can repeat, what is the probability that the passcode is 417GR?

A coffee shop allows customers to choose 1 ingredient from each category: coffee or espresso • cream, soy milk, or whole milk • Chocolate, caramel, or whipped cream John hates caramel. If he randomly orders a drink, what is the probability that he will like it?

Which of the following is NOT a linear transformation. T : R² → R²; T(x, y) = (−x, y) T:R→R; T(x) = cx T:C->C;T(z) = z T: Mnn → R; T(A) = det A

The volume of a cone with base radius r and height h is given by the formula V=1/3πr²h. Find the volume of a cone with base radius 26 cm and height 24 cm. ______ cm³. Use 3.14 or the π key on your calculator. Round your answer to the nearest hundredth if necessary.

The angles of a quadrilateral are 86°, 38° and 120°. Find the missing angle measure. a) 360° b) 244° c) 116° d) 64°

3. Show that the regular 20-gon is constructible. 4. Show that the regular 30-gon is constructible. 5. Show that the angle 72° can be trisected. 6. Show that the regular 15-gon can be constructed.

Solve using the quadratic formula. 3j² + 9j + 6 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.j= ___ or j = ___

Find the volume of a pyramid with a height of 17 cm and a rectangular base with dimensions of 6 cm and 11 cm. Round your answer to the nearest hundredth as needed. ___________cm³

Laptop computers are measured according to the diagonals of their screens. A 16-inch laptop has a screen that is 7 inches tall. How wide is the screen? ____inches

Find the number of deaths from motor vehicle crashes in one week. Every twelve minutes someone dies in a motor vehicle crash, every ten seconds an injury occurs, and every 5 seconds a crash occurs. Source: www.osha.gov 2005 Select the correct response: a)120 deaths b)1080 deaths c)10,080 deaths d)840 deaths

The volume of a cylinder with radius r and height h is given by the formula V = πr²h.Find the volume of a cylinder with radius 17 cm and height 10 cm. Answer: _____cm³. Use the π key on your calculator. Round your answer to the nearest tenth.

Solve using the quadratic formula. 9r²+6r+ 1 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. r= or r =

The equation of a parabola is y = x² + 6x + 9. Write the equation in vertex form. Write any numbers as integers or simplified proper or improper fractions.

What is the focus of the parabola y = (9x² )+ 2? Simplify any fractions. ( ___,___ )

What is the focus of the parabola y= 9x²? Simplify any fractions. (____, ____)