A quadratic polynomial y = 4x² + 7x − 3 has roots p and q. A new quadratic with roots r = is given by g(x) = x² + ax + ß. 9 α= Express a and ß as fractions. В P = and s =

Q: Find the area of the parallelogram with vertices  P(1, 2, 3), Q(4, 5, 6), R(7, 11, 14), and S(4, 8,…

A: We know that the area of the parallelogram formula is |PQ*PS|

Q: Perform the indicated operation, if possible. 4 5 7-8 8 0 -11 2 6 -2 11 2 -29 -8 10 + Select the…

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Q: A kite has a 5-inch side and a 7-inch side. One of the diagonals is bisected by the other. The…

A: The pictorial view of the given kite is: Here the given dimensions are:AB=AD=5  inchesBC=CD=7…

Q: A point (x, y) is rotated 270° about the origin. SERVICES Determine the transformation rule for this…

A: Solution:A point (x, y) is rotated 270°about the origin

Q: 11. Given that the lines marked with arrows in Figure 10.36 are parallel, determine the sum of the…

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Q: Consider the triangles in the image. Identify the sequence of transformations that transforms the…

A: Given preimage ∆ABC with A(2,2), B(2,-1) and C(4,0) We need to transform it to ∆A''B''C'' with…

Q: ZVPZ and ZZPY are congruent. Find the measure of minor arc WZ. N V Y 52° 55° W 125° X

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Q: To write In(a) type In(a) for a number a. Suppose that the function f(x) = 4xe²x. In Find the value…

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Q: W 106° U ? V

A: To find the measure of unknown angle m∠UVW.

Q: Determine the equation of the circle graphed below. 12 34 11 10 86 9 76 432 1…

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Q: Match each equation to its description. circle centered at(0, -4) with a radius of 4 circle centered…

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Q: Plot the data and find a line of best fit. 3 65 2 7 4 -0.5 1.5 1.5 -1.5 0.5 -0.5 8 1 3-2

A: Given :- Data table To Plot :- The data and find a line of best fit.

Q: 24. The figure is a square. Find the value of the variables. a) x = 3, y = 15 b)x= 45, y = 90 c) x =…

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Q: 3. If the sum of the interior an gon is 1260°, find the value of n a) n = 8 b) n = 9 c) n = 10 d) n…

A: Sum of interior angle for a polygon have n sides is (n-2)x180° Here n is Number of sides of polygon

Q: Graph the inequality. yax-6 Use the graphing tool on the right to graph the inequality. Click to…

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Q: 12. Find the equation of the ellipse a. Vertices (+9,0), minor axis length = 7 d. Vertices (0,-9),…

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Q: 16 Your answer: Ox=26.6° x = 30.0° O x = 60.0° O x = 63.4° xº 8

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Q: Find the center and radius of the circle represented by the equation below. 2 x² + y² - 18x+10y + 25…

A: The given equation of circle is x2+y2-18x+10y+25=0

Q: All sides of AGHI are tangent to circle P. HI has length 19. KG has length 13. Find the perimeter of…

A: Given data.

Q: Objective: Write equations that can be used to solve for unknown angles in right triangle Draw a…

A: m∠x=cos-145

Q: Graph the inequality yz 3x + 3. O 7 77 3 4 5

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Q: 1. 6 m 10 m 15 m

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Q: Convert the Cartesian coordinates (2, -5) to polar coordinates with r > 0, 0 ≤ ? ≤ 2?. Remember to…

A: To convert the Cartesian coordinates 2, -5 to polar coordinates with r>0, 0≤θ≤2π.

Q: In the figure below, mZ1 = 27° and m 2 = 49°. Find mPQS. Q R S m2PQS =

A: given,  m∠1=27° and m∠2=49°

Q: 26. Find the value of the variables. a) x = 70, y = 110 b) x = 110, y = 70 c) x = 70, y = 70 d) x =…

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Q: A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 14 cm,…

A: A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 14 cm,…

Q: 18. Select the statement that is FALSE. a) All squares are rectangles b) All rhombuses are…

A: Select the statement that is false .  a) All squares are rectangles  b) All rhombuses are…

Q: Triangle KNM is shown. What is true about the sides of KNM? K 0.00 25° A B C D N 130 KN= NM KM =…

A: Two angles of the triangle are equal.

Q: Solve the following linear programming problem. z = 11x + 4y 8x + 4y 0, y 20 Maximize: subject to:…

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Q: Graph the solution set to the follow system of inequalities by drawing a polygon around the solution…

A: Given :- 2x+5y≤406x+5y≤60x≥0y≥0

Q: Given A and BC CD what is mBC ? B

A: m∠CAD=78ThereforemCD⏜=78°

Q: Which rule explains why these triangles are congl W X A B C D AAS SAS SSS ASA H # Y V

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Q: 2 in 10 in 10 in 3 in

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Q: Find the area of each regular polygon with the given apothem a and side length s. 4. decagon, a = 31…

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Q: volume of a sphere is 2240 but what would be the volume if its dimensions are 1/4 of the original…

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Q: 2. During World War 2, the British government considered using icebergs as unsinkable aircraft…

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Q: Fill in the blanks. To find the product matrix AB, the number of To find the product matrix AB, the…

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Q: 116x +1 U 47° 1+34x S T

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Q: Using the graph, rotate point A(25, 15) 90° clockwise around point B(15, 15) to find point A'.…

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Q: A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3328…

A: We need to find how many tickets of each kind have sold.

Q: What is DE? Enter your answer as a decimal in the box. units 12.6 + A E D B

A: The given triangle is: AD=DBCE=BE

Q: Find the area of the regular polygon. (round to the nearest tenth) 9.8 Area of one triangle = Area…

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Q: B. Side angle Inequality Theorem T Y 7 12 10 R Complete the table, ATRY Largest Angle (12) Larger…

A: To solve the following problem using side angle inequality theorem

Q: Find the height and area of the trapezoid. 13 +544 21 26

A: Figure

Q: 31. Find the value of x. a) x = 56.5 b) x = 226 c) x = 113 d) x = 136 90° 44°

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Q: Find the value of x. 32 Your answer: O x 29.7° O x = 34.8° Ox=55.2° 56 Ox=60.3° Clear answer Oufe

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Q: ZKPO and ZOPN are congruent. Find the measure of minor arc LO. K N 76° 38 a 126° M L

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Q: Level KF.19 Special right triangles E9S Find j. j 60° 6 m

A: For a right angle triangle  sinθ = perpendicular hypotaneous

Q: ABCD is a parallelogram. Find the indicated values: A 20 B 14 C 729 15 10 112° E 40° D (o BE = DE =…

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Q: 8. Find the volume of the figure below. Units are in meters. 12 13, 16

A: Volume of part A =23·8·12 Volume of part B =16+8·13·12 Volume of part C=13·14·8