Geometry question and answers for October 29, 2023
- Q What is the axis of symmetry of the parabola y =( -1/5)(x ? 6) + 4?
- Q What is the focus of the parabola y = -4x - 1?Simplify any fractions.
- Q Graph. Be sure to label the vertices.a) (24x^2 )+ (2y^2) = 72.b) {36(x-5)^2} + {4(y-2)^2} = 36.
- Q Sketch the graph of the function. Describe how each graph can be obtained from the graph of a basic exponential function. f(x)=(2^x-1)-3
- Q The probability of event A is 0.56, and the probability of event Bis 0.34. If A and B are independent events, then P(A and B) =
- Q Malik randomly picked two numbers from 1 to 9 (including 1 and 9). The same number could be picked more than once. The first of the two numbers he picks...
- Q Convert the equation in standard form to point-normal form for a plane in R:a. 2x-y+2=5b. 2x + 3y = 1c. z=0
- Q A circle is centered at the point (-7, -1) and passes through the point (8, 7). The radius of the circle is____units. The point (-15,____)lies on this circle.
- Q The equation of a circle is x+y+ Cx+ Dy+ E= 0. If the radius of the circle is decreased without changing the coordinates of the center point. how are the...
- Q A cake shop bakes a variety of brownies. The top-selling brownies are ones with toppings of chocolate chip, walnuts, or both. A customer enters the store. The probability that the...
- Q Based on the data in this two-way table, if a flower is picked at random, what is the probability of getting a yellow flower?Type of Flower/Color ...
- Q The probability of Samantha scoring an A on a geology test (event A) is 0.46, and the probability of Judith scoring an A on the same test (event B) is...
- Q A class consists of 55% boys and 45% girls. It is observed that 25% of the class are boys and scored an A on the test, and 35% of the...
- Q A quadrilateral has vertices A(4, 5), B(2, 4), C(4, 3), and D(6, 4). Which statement about the quadrilateral is true?A. ABCD is a parallelogram with noncongruent adjacent sides.B. ABCD is...
- Q Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.Match the trigonometric ratios with their values based on the triangle shown in the...
- Q Franklin rolls a pair of six-sided fair dice with sides numbered 1 through 6. The probability that the sum of the numbers rolled is either even or a multiple of...
- Q In a factory, the chance that a certain machine works without overheating in the morning is 50%. If it runs smoothly all morning, then there is an 85% chance that...
- Q The number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9 is ____. The probability that both the first...
- Q Kayla has a bowl of beads that contains 42 yellow beads, 28 green beads, 12 white beads, and 18 red beads. She randomly draws a bead from the bowl. The...
- Q John is playing a game of darts. The probability that he throws a dart into the center of the dart board (the Bull's eye) is 10. The probability that he...
- Q The probability that a comic book reader in a particular city prefers comics published by Company A is 25%. The probability that a comic book reader in the city is...
- Q A number is selected at random from the set (2. 3. 4. ... 10). Which event, by definition, covers the entire sample space of this experiment?A. The number is greater...
- Q Select the correct answer from the drop-down menu.In the figure, m?B = m?C and ?D is a right angle.COS ?=
- Q Let I be the line with parametric equationsx=-1-3ty = 10-3tz = -5-3tFind the vector equation for a line that passes through the point P=(10, -9, 4) and intersects L at...
- Q Type the correct answer in the box. Write your answer as a reduced fraction, using / for the fraction bar. A six-sided fair die is rolled 4 times in a...
- Q A quadrilateral has vertices A(4, 9), B(2, 5), (8, 2), and D(10, 6). Which statement about the quadrilateral is true?A. ABCD is a parallelogram with non-perpendicular adjacent sides.B. ABCD is...
- Q A school choir has 80 students; 36 of them are in seventh grade. Also, 40 students in the choir are girls: 18 of them are in seventh grade. What is...
- Q Which equation implies that A and Bare independent events?A) P(B | A) = P(A)B). P(A | B) = p(B | A)C). P(A) = P(B)D). P(A?B) = P(A) P(B)E) P(A?B) =...
- Q The vertex of a parabola is (-1.5, -12.5), and its y-intercept is (0, -8).The x-intercepts of the parabola are_____and____
- Q A bag contains 15 dark chocolates, 16 caramel chocolates, and 19 milk chocolates. The probability that Amber's teacher distributes the chocolates among her students is 0.4.If the teacher offers Amber...
- Q Type the correct answer in the box. A standard New York car license plate has 3 letters followed by 4 numbers. If the letters and numbers can be repeated, the...
- Q Select the correct answer from each drop-down menu.Two six-sided fair dice are rolled simultaneously.The probability that the sum of the two numbers rolled is greater than 3, given that the...
- Q Based on the data in the two-way table, what is the probability that a person consumes 1.500 to 2,000 calories in a day?A. 0.22B. 0.28C. 0.35D. 0.50
- Q A television network is about to telecast a new television show. Before a show is launched, the network airs a pilot episode and receives a report assessing favorable or unfavorable...
- Q This diagram shows the aerial view of a playground. What is the area of the playground to the nearest square yard? Use the value ? = 3.14.A. 2.732 square yardsB....
- Q In ?MNP, Q divides MP into the ratio of 4:3 and NQ divides MR into the ratio of 2:1 where R is a point on NP. What ratio does MR...
- Q Triangle QRS has been translated to create triangle QRS. RS = RS 2 units, angles S and S are both 28 degrees, and angles R and I are both 32...
- Q A writer sells 100 call options with strike $42 for $0.91 each and deposits these premiums in a bank.The calls mature in 30 days, and the bank's interest rate over...
- Q A convex polyhedron is made out of equilateral triangles and regular octagons. One equilateral triangle and two octagons meet at each vertex. Determine the number of vertices, faces, and edges...
- Q Find the unit rates. If necessary, round your answers to the nearest hundredth. $6.19 for 8 pounds______dollars per pound______pounds per dollar.
- Q A circle with circumference 12 has an arc with a 330 central angle. What is the length of the arc?
- Q If DE = 4x-1, EF = 9, and DF = 9x-22, find the value of x.
- Q The number of branches on a tree demonstrates the Fibonacci sequence.How many branches would there be on the next two levels of this tree?13825321branchesA. 34, 55B. 21,34C. 18, 28D. 21,...
- Q A circle is inscribed in a square with a side length of 94. If a point in the square is chosen at random, what is the probability that the point...
- Q CONSTRUCTION The frame for the roof of a house is designed so that the ratio of the rise to the run is in a constant ratio of 5/12.What is the...
- Q At her party, Emily wants to serve each of her friends a hotdog and a bun. There are 8 hotdogs in a package but only 6 buns in a bag....
- Q Use the Parabola tool to graph the quadratic function.f(x)=2x + 12x + 15Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
- Q 3. A rectangle has side lengths of 3 cm and 6 cm.a.)What is the area of this rectangle?b.)What is the area of this rectangle after it has been dilated by...
- Q An insurance company claims that for x thousand policies, its monthly revenue in dollars is given by R(x) = 225x and its monthly cost in dollars is given by C(x)=...
- Q Given the following diagram, find the required measure.Given: /11 mm?1=140m ? 3=50m?4=9040130140
- Q Solve each equation by factoring.4) x + 16 = 10x
- Q Solve each equation by completing the square.2) x-(18x) + 17 =-10
- Q Two angles whose sides are opposite rays are called_______ angles. Two coplanar angles with a common side, a common vertex, and no common interior points are called _____ angles.vertical; adjacentadjacent;...
- Q What are the names of three collinear points?Points D, J, and B are collinear.Points A, J, and B are collinear.Points L, J, and K are collinear.Points D, J, and K...
- Q Find the coordinates of the midpoint of the segment whose endpoints are H(6, 4) and K(2, 8).(4,4)(4,6)(2, 2)(8, 12)
- Q Name an angle vertical to ?EGH.?EGF?HGJ?IGF?HGI
- Q In September 2016, the cost of gasoline in Berlin was around 1.2 euros per litreWhat would the equivalent cost be in U.S. dollars per gallon?1 U.S. dollar ? 0.876 euros1...
- Q Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.11617.814.9
- Q In pentagon ABCDE, m?A= m?C=m?D = 90 and ?B=?E. What is m?B, in degrees?
- Q 8.) Give 3 example problems with solutions using the point of division.
- Q A line segment has endpoints of (-2,4) and (5,-3). Find its length and midpoint
- Q Which of the following statements is false?A. The base angles of an isosceles trapezoid are congruent.B. The bases of an isosceles trapezoid are congruent.C. A rectangle is an equiangular quadrilateral.D....
- Q 28. The sides of a square are 3 cm long. One vertex of the square is at (2, 0) on a square coordinate grid marked in centimeter units. Which of...
- Q Graph the following function: y = -2-3cot(x)/2Step 1 of 2: Identify the shape of the more basic function that has been shifted, reflected, stretched or compressed.
- Q Graph the following function: y = -5s??(?x + 3?)/2Step 1 of 2: Identify the shape of the more basic function that has been shifted, reflected, stretched or compressed.
- Q Graph the set (x|-5<x<5) on the number line.Then, write the set using interval notation.
- Q Consider the following exponential functions for -3 ? x ? 3:f(x)= 3xg(x)=(1/3)xa. Determine f(x) and g(x) and graph each after the given transformation is applied to both(graph together on the...
- Q What rotation about the origin is equivalent to R-200?A. R560B. R-160C. R200D. R160
- Q How much money in commission does a real estate agent who works on a 2.5% commission rate earn from a $260,000 sale?A. $1,040,000B. $10,400C. $65,000D. $6,500
- Q Determine the domain and range of each exponential function.a. y = -5(1.2)x-7+ 10b. y=13(0.7)-2x+11-99
- Q Find the inverse of the function f(x) = -2/5 x - 4Draw the functions f and f-1(x)
- Q For a given interest rate, simple interest varies jointly as the principal and time. If $1000 left in an account for 6 years earned interest of $420, then how much...
- Q If AB = 15 m, BC = 18 m and CA = 24 m, find the point of intersection of the angular bisector from the vertex C. (i know how...
- Q (x + 2x - 6x+5)-(2x+4x -5x+10) is equivalent to:A. 3x +6x -11x+15B. -x +6x-11x+15C. -x-2x-x-5D. -2x-2x+x+5E. x +6x-2x+15
- Q Which expression would be appropriate to complete the following equation in order for the equation to illustrate the Associative Property of Addition: 5+(7+0) = ?A. (7+0)+5B. 5+ (0+7)C. (5+7)+0D. 5+7E....
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