Consider the function y = x2 + 0.1x + 0.03 a) write in completed square form, b) hence write down the equation of the line of symmetry and the coordinates of the vertex, c) sketch the curve.

Q: Check here for instructional material to complete this problem. Plot the point (-1.4,-0.6) in a…

A: Topic = coordinate geometry

Q: 1)A standard pool ball has a diameter of 4 in. This box in the shape of a square-based prism is…

A: Please see the below picture for detailed solution.

Q: Find the area. Use π = 3.14. 6 mi 18.84 mi². 28.26 mi². 37.68 mi². 113.04 mi².

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Q: EXPLANATION GIVEN.  A path of uniform width runs round the inside of a rectangular field 38 m long…

A: Possible figure:-

Q: Find UT Vo 9 3x + 4 2x - 2 U T

A: This question can be solved using the equation(Length of VU)+(Length of UT)=(Length of VT)

Q: solve the system of equations by newton Raphson method x²+y=11 and y²+x=7

A: Given equations: Let F1=x2+y-11=0      ..........(1)F2=y2+x-7=0       ...........(2)

Q: 6. ALGEBRA If a supplement of an angle has a measure 78 less than the measure of the angle, what are…

A: 6. If a supplement of an angle has a measure 78 less than the measure of the angle.

Q: 10 people fit comfortably in a 5 feet by 6 feet area. Use the value to estimate the size of a crowd…

A: Given problem:- 10 people fit comfortably in a 5 feet by 6 feet area. Use the value to estimate the…

Q: Name the dilation and then the translation that was used to map O (2,5) P (6,1) Q

A: The translation is a transformation in coordinate geometry when an image is shifted along the x-axis…

Q: 9) b 37°

A: Solve for the b

Q: L

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Q: Exploring Angle Pairs Directions: Draw a figure and answer the following problems. 1) 21 and 22 are…

A: Supplementary angles are those angles that sum up to 180 degrees.

Q: ZRQT is a straight angle. What are mZRQS and mZTQS? mZRQS= D S₁ (9x+9)°(6x+6)°

A: We can find the required answer as below.

Q: The volume of this rectangular prism is 0.5 m³. Determine the height of the prism. 98 cm a) 68 cm b)…

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Q: The measure of one angle is 56 less than the measure of its complement. Start by drawing a diagram.…

A: We know that complementary angles are those whose sum is a right angle, i.e. 90°

Q: Suppose two squares of the same color are removed from an 8 x 8 chessboard. Is it possible to tile…

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Q: A circle is inscribed in an isosceles triangle whose lateral side is 9 cm and the base is 6 cm.…

A: Lets say that the triangle mentioned is a triangle ABC, BC being the base  And the circle touches BC…

Q: Explain how you would determine whether three planes intersect in a line.

A: Let's assume the equations of three planes 1. a1x+b1y+c1z+d1=0 2. a2x+b2y+c2z+d2=0 and 3.…

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.)…

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Q: Suppose we have a triangle A(-2,-3), B(6,1) and C(-2,5). Find the length of the sides of the…

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Q: What is the distance between the points? 4 # EN

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Q: 4-17 AB and aingle A 557 B 8 40 PQ are P Q parallel compute the measure °0

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 19 47° m/DCE= m/B= A Previous E Don't forget to put the degree symbol in each answer. B m/E= m/A=…

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Q: 18. Find the distance AB between the centers of the two rollers in Fig. 6-43.

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Q: 5 432 1 -6 -5 -4 -3 2-1₁ -2 WN 3 -4 -5 D 12 2 3 4 5 6 7 8 -1) (2,-4) 16. (2,-5)

A: Question: Find the vertex, directrix, and the focus.

Q: A line from the top of a cliff to the ground passes just over the top of a pole 6.0 ft. high and…

A: Topic:- application of trigonometry ratios

Q: 75° 64° m/2= 2 (don't forget the degree symbol)

A:

Q: 13 A (19x - 1) N (13x - 5) B I= m/B= m/C= (don't forget the degree symbol) (don't forget the degree…

A:

Q: Determine the point th of the way from point A: (6, -1) to point B: (4, -5) shown on the coordinate…

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Q: 8x+18=40 18 x=9 88 <XV2=36 -18 7.ZABC and ZDEF are supplementary angles. The measure of ZDEF is…

A:

Q: There are many ways to define similarity. Some definitions allow congruent figures to also be…

A: Concept: Shapes that are congruent have the same dimensions and line up when they are stacked. Even…

Q: Circles K and L touch externally at point  P. Line ABC cuts K at points A and B and is tangent to L…

A: We can solve it as follows

Q: Drag each length to the correct location on the image. Each length can be used more than once, but…

A:

Q: A 9 meter by 12 meter rectangular lawn has a concrete walk one meter wide all around it. What is the…

A: To find out the area of the walk.

Q: In the circle below, CE is a diameter. Suppose m DE = 44° and m2 EDF=20°. Find the following. (a) mZ…

A: Given data:- Diameter of a circle =CE¯ DE^=44°m∠EDF=20°

Q: 10. A vertical pole 45.0 ft high stands on level ground and is supported by three guy wires attached…

A: 10. A vertical pole 45.0 ft high stands on level ground and is supported by three guy wires attached…

Q: -9x + 12y = 24 -x-5 || mit y = 3

A:

Q: 70°

A: The given figure has a cyclic quadrilateral. The cyclic quadrilateral has the property that the sum…

Q: 15 Write the definition as a biconditional statement. An acute angle is an angle whose measure is…

A:

Q: Glenda wants to glue glitter over a piece of felt shaped like a parallelogram with a height of 52…

A: We know that, 1 ft=12 in 1 ft2=144 in2 Formula of area of parrallelogram=height×base

Q: 2. e. f. C. d. Use the figure at right to answer the following: Name the line that contains points A…

A: We can answer the question in the following steps.

Q: 1. The length of a car park is 120 m longer than its width. The area of the car park is 6400 m². a.…

A: The area A of a rectangle with length L and width W is given by A=L×W.

Q: (-3.3) 7 6 5 4 3 2 (-3,2) 1 -6 -5 -4 -3 -2 -1 -2 -3 -4 -5 -6 -7 1 2 3 4 5 6 7 (2)

A: Given Data:- Here point (x,y) is unknown so we should find it.

Q: MN is five times as long as NO in the diagram below. Find NO. Show your work and explain the steps…

A: To find out the length of NO.

Q: A Z D

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Q: Geometry This is all that is given. Find a1+a2+a3+...+an = ?.

A: Answer is in next step. please give a like!!

Q: Using numerical integration to estimate the area of the semicircle (r=4 )and c(4,0) with n=4

A: Given data:- Use the numerical integration to find the area of a semicircle, r=4,   c(4, 0)     ,n=4

Q: A triangle has two sides lengths of 7 and 12. What is the possible range of lengths for the third…

A: For any triangle, The length of largest side must be less than the sum of two smaller sides of the…

Q: Is the integral [_(0) ^(5) x/(x² − 16) dx convergent? If so, what does it converge to?

A:

Q: Find the measures of the angles in AABC if m<A: mzB:mzC=2:3:4.

A: To find the measures of angles of triangle ABC.