Question 2 Given the equation −4x² + 8x − 4y² − 56y − 4z² + 32z = -312 a) Show that the given equation represents a sphere, and find its center and radius. b) Determine whether the point (5, -8,4) lies inside/ outside / or on / the sphere.

Q: Find the surface area. Do not round your answer. 12 15

A: Total Surface of the prism = Lateral Surface area+ 2×base areaNow, the lateral surface has 5…

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Q: The base of a cone has a diameter of 20 cm and its altitude is 18 cm. What is its volume?

A: The base of a cone has a diameter of 20 cm and its altitude is 18 cm. What is its volume?

Q: Simplify 4 i 33 10 i 30 21/5 O -21/5 O 2/5i O 2/5 O

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Q: a 60° h с 30° b If side c measures 30.5 units long, how long is side a?

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Q: 13. Complement of 63° 14. Supplement of 45° 15. The sum of the measures of the interior angles of an…

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Q: Z E [0, 30, 30] X F [15, 5, 0] 0 [0, 0, 0] Answer the following: 1. Add D and E to find the…

A: Given the line passes through the point E0,30,30 and has direction vector as F15,5,0. We have to…

Q: 7. What is the area of the figure below? Round your answer to the nearest hundredth when…

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Q: Construct a two-column proof to prove the following by using factoring: Given: a³ - 11a²-9a = -99…

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Q: The diameter of a circle is 6 m. Answer the parts below. Make sure that you use the correct units in…

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Q: 2. For the three-part question that follows, provide your answer to each part in the given…

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Q: If an angle has a measure of 155°, what is the measure, in degrees of an angle that is supplementary…

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Q: 1+√5 AB. 2 1. Locate point D such that AD = BD = 2. Locate point C such that BC = DC = AB. 3. Locate…

A: AD = BD  =1+52AB                                                           1AD = BD  =AB2 + 54ABAD =…

Q: Statements AINH is isosceles O is the midpoint of 4 CH ΔΙΝΟ ὝΛΗΝΟ INONNO A. Given Reasons Given…

A: We need to fill in the table considering the above triangle.

Q: The inverse of every logarithmic function is an exponential function and vice versa. What does this…

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Q: QR is a midsegment of triangle BCD. Solve for the value of c. C Q B X-2 R + D

A: Follow the procedure given below.

Q: 10. What is the area of the figure below, given the height is 6.5 ft? Round your answer to the…

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Q: What are the new coordinates of the point (6, 15) under the dilation (x,y) → (3-3)?

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Q: A record is spinning at the rate of 40 rpm. If a ladybug is sitting 10 cm from the center of the…

A: We have to solve given problem as per given conditions.

Q: Refer to this figure to answer the question. Line DH is parallel to line IM. Line BO is…

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Q: Summarize the difference between a rhombus and a square

A: Summarize the difference between a rhombus and a square

Q: total height of the mixture was 27 cm. After a few minutes, the water is tled completely below the…

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Q: 3. Given the information about the two triangles by marked on the figure at the right, what…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: 1. For the quadratic function given below, find: f(x) = -2x²-x+6

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Q: Draw diagrams of pies to show Paragraph V 13=7. Explain how your diagram shows 12: BI U A/ OF 0⁰

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Q: A bomber aircraft flying at 15 m/s at an altitude of 180 m dropped a bomb. The parabolic trajectory…

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Q: d) 50°

A: Given problem:-

Q: QSRT is a rectangle and mZSQR=55°. T 55° P S R The measure of angle SRT = The measure of angle STR =…

A: In rectangle QSRT, ∠SQR=55°

Q: be, the, have, to, you, perform, dance, you, disqualified, otherwise, will You have to perform…

A: be the  have  to you perform dance  you disqualified  otherwise  will     this are word given we…

Q: A pole that is 3 m tall casts a shadow that is 1.4 m long. At the same time, a nearby tower casts a…

A: We can answer the question as below.

Q: ind the measure of the following angles.

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: A woman wants to measure the height of a nearby tower. She places a 7 ft pole in the shadow of the…

A: We can find the length of tower as below.

Q: B) Solve the differential equation by using Laplace transform y" - y = -t² y(0)=2 and y'(0)=0

A: I am attaching image so that you understand each and every step.

Q: In the preceding isosceles triangle, angle P is congruent to angle Q. If angle P has a measure of 53…

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Q: Find the formula an for the n th conditions: a₁ = term of the geometric sequence satisfying the…

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Q: Determine the vertex, focus, directrix, and axis of symmetry of the parabola with the equation y =…

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Q: 2. Given point P = (1,2,1) and Q(3,3,0) Find a) the parametric equation of line L, which passes…

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Q: Which one of the following is the co-ordinates of the y-intercept of the tangent line to the graph…

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Q: K Lines , and I are parallel lines. Determine the measures of 41 through 412. 1 4 6 69 9/10 2 3 5…

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Q: The region bounded by y = 4/x and y = (x-3)2 is to revolve about the x-axis. What is the volume…

A: We have to find the volume of the solid generated by revolving the region bounded by y = 4/x and y =…

Q: Find the angle between the line L you found in part a and the negative side of the x-axis. Provide…

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Q: 31 Find the lateral area of a regular square pyramid with base edge 20 cm and P lateral edge 17 cm.…

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Q: 4 (10y +60) M (2x) MLAOC (3x-20) & G find L K S

A: here MK is bisectore of line JL  so sum of angle is 180  3x -20 + 10y + 60 = 180 and another is  10y…

Q: 3. If each of the two incident angles in a right-sided triangle is equal to 300, then the length of…

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Q: In ΔABC, given that <A = 23 degrees, <C = 78 degrees, and AB=15 cm, what is the length of side BC?

A: Given

Q: Cr 0 A

A: The area of the triangle is given below

Q: Give the first 3 non-zero terms of the Taylor polynomial approximation to sin x about the point x =…

A: Given problem:- Find the first 3 non-zero terms of the Taylor polynomial approximation to sin x…

Q: If a machine that works at a constant rate can fill 40 bottles of milk in 3 minutes, how many…

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Q: Solve for the value of x. State what each angle equals. LA = 2C-> ZD=> BX C (2x (x 35) 75)

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Q: Simplify 4 i 33 10 i 30 21/5 O -21/5 O 2/5i O 2/5 O

A: