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MATH SOLVE
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The figure below shows a partially completed set of steps to construct a rhombus PQRS:The next step is to construct side PS of the figure so that side PS is parallel and congruent to side QR. The chart below shows the steps each of the four students took to draw side PS:Student 1 Fix the compass at M and adjust its width to point L. Without changing the width of the compass, move the compass to N and draw a small arc on the big arc. Label the point of intersection of the two arcs as T. Draw a line segment from P that passes through T. Adjust the width of the compass to QR and draw an arc from point P to intersect line PT at S.Student 2 Fix the compass at M and draw an arc that intersects side QP at point T. Without changing the width of the compass, move the compass to R and draw an arc. Adjust the width of the compass to QR and draw an arc from point P. Draw a line segment from R that passes through T and intersects the second arc at S.Student 3 Fix the compass at L and adjust its width to point M. Without changing the width of the compass, move the compass to R and draw an arc which intersects QR at point T. Draw a line segment from R that passes through T and intersects the arc at S.Student 4 Fix the compass at L and adjust its width to point P. Without changing the width of the compass, move the compass to R and draw an arc which intersects QR at point T. Draw a line segment from R that passes through T and intersects the arc at S.Which student used the correct steps to construct rhombus PQRS?A. Student 2B. Student 4C. Student 3D. Student 1
General
5 months ago
In a rhombus, an altitude from the vertex of an obtuse angle bisects the opposite side. Find the measures of the angles of the rhombus.
General
5 months ago
if the circumference of a circle measures 3π cm, what is the area of the circle in terms of π?
General
5 months ago
which statement is true about the given function? A. f(x) < 0 over the intervals (-infinity, -2,7) and (0.8, infinity) B. f(x) < 0 over the intervals (-infinity, -2.7) and (-1 ,0.8) C. f(x) > 0 over the intervals (-infinity, -2.7) and (-1, 0.8) D. f(x) > 0 over the intervals (-infinity, -1) and (0.8, infinity)
General
5 months ago
1.) There are 8 people in a room.Each person shakes hands with each of the other people once and only once.How many handshakes take place?2.) A student has some pigs and some chickens.He finds that together they have 70 heads and 200 legs.How many pigs and how many chickens does he have? 3.) A well is 10 feet deep.A frog climbs up 5 feet during the day, but falls back 4 feet at night.Assuming that the frog starts at the bottom of the well,how many days does it take the frog to get to the top? I'm looking for work shown, too, please! :)
General
5 months ago
Use the graph to find the local minimum and the local maximum for the given function.
General
5 months ago
1.) Four teachers bought an old boat for $60.The first teacher paid one-half of the sum of the amounts paid by the other teachers.The second teacher paid one-third of the sum of the amounts paid by the other teachers.The third teacher paid one-fourth of the sum of the amounts paid by the other teachers.How much did the fourth teacher pay? 2.) What is the smallest number of coins that you need so that you can give exact change for any amount from 1 cent to 99 cents? Show your work please. Any improper answers will be reported and removed- thanks!:) Have fun!
General
5 months ago
PLEASE HELP8.011. Find the vertex, focus, directrix, and focal width of the parabola.x2 = 20y A) Vertex: (0, 0); Focus: (0, 5); Directrix: y = -5; Focal width: 20 B) Vertex: (0, 0); Focus: (5, 0); Directrix: x = 5; Focal width: 5 C) Vertex: (0, 0); Focus: (5, 0); Directrix: y = 5; Focal width: 80 D) Vertex: (0, 0); Focus: (0, -5); Directrix: x = -5; Focal width: 802. Find the vertex, focus, directrix, and focal width of the parabola.x = 3y2 A) Vertex: (0, 0); Focus: one divided by twelve comma zero ; Directrix: x = one divided by twelve ; Focal width: 12 B) Vertex: (0, 0); Focus: the point one twelfth comma zero ; Directrix: x = negative one twelfth ; Focal width: 0.33 C) Vertex: (0, 0); Focus: zero comma one divided by sixteen ; Directrix: x = negative one divided by sixteen ; Focal width: 0.33 D) Vertex: (0, 0); Focus: one divided by sixteen comma zero ; Directrix: y = nnegative one divided by sixteen ; Focal width: 123. Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, 9). (1 point) A) y = one divided by thirty six x2 B) y = one divided by nine x2 C) y2 = 9x D) y2 = 36x4. Find the standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8. A) y = one divided by thirty two x2 B) y2 = 8x C) y2 = 32x D) y = one divided by eight x25. Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7. A) y = one divided by twenty eight x2 B) x = one divided by twenty eight y2 C) -28y = x2 D) y2 = 14x6. A building has an entry the shape of a parabolic arch 74 ft high and 28 ft wide at the base, as shown below.A parabola opening down with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is seventy four feet and its width from left to right is twenty eight feet.Find an equation for the parabola if the vertex is put at the origin of the coordinate system.
General
5 months ago
Which point is on the line that passes through (0,6) and is parallel to the given line
General
5 months ago
PLEASE HELP8.021. Find the center, vertices, and foci of the ellipse with equation x squared divided by one hundred plus y squared divided by sixty four = 1. A) Center: (0, 0); Vertices: (-10, 0), (10, 0); Foci: (-8, 0), (8, 0) B) Center: (0, 0); Vertices: (0, -10), (0, 10); Foci: (0, -8), (0, 8) C) Center: (0, 0); Vertices: (-10, 0), (10, 0); Foci: (-6, 0), (6, 0) D) Center: (0, 0); Vertices: (0, -10), (0, 10); Foci: (0, -6), (0, 6)2. Find the center, vertices, and foci of the ellipse with equation 2x2 + 6y2 = 12. A) Center: (0, 0); Vertices: point negative square root of six comma zero and point square root of six comma zero ; Foci: (-2, 0), (2, 0) B) Center: (0, 0); Vertices: (0, -6), (0, 6); Foci: Ordered pair zero comma negative four square root two and ordered pair zero comma four square root two ; C) Center: (0, 0); Vertices: point zero comma negative square root of six and point zero comma square root of six ; Foci: (0, -2), (0, 2) D) Center: (0, 0); Vertices: (-6, 0), (6, 0); Foci: Ordered pair negative four square root two comma zero and ordered pair four square root two comma zero3. Graph the ellipse with equation x squared divided by twenty five plus y squared divided by four = 1. A) A vertical ellipse is shown on the coordinate plane centered at, five, two, with vertices at, five, seven, and five, negative three and minor axis endpoints at three, two, and seven, two. B) A horizontal ellipse is shown on the coordinate plane centered at five, two, with vertices at zero, two, and ten, two and minor axis endpoints at five, four and five, zero. C) A vertical ellipse is shown on the coordinate plane centered at the origin with vertices at zero, five and zero, negative five and minor axis endpoints at, negative two, zero and two, zero. D) A horizontal ellipse is shown on the coordinate plane centered at the origin with vertices at, negative five, zero and, five, zero and minor axis endpoints at, zero, two and zero, negative two.4. Find an equation in standard form for the ellipse with the vertical major axis of length 6 and minor axis of length 4. A) x squared divided by two plus y squared divided by three = 1 B) x squared divided by nine plus y squared divided by four = 1 C) x squared divided by three plus y squared divided by two = 1 D) x squared divided by four plus y squared divided by nine = 15. An elliptical riding path is to be built on a rectangular piece of property, as shown below.A vertical ellipse is shown centered on the coordinate plane, surrounded by a rectangle of equal length and width.The rectangular piece of property measures 8 mi by 6 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides.
General
5 months ago
Angelique is building a model of her home. Her house is 24 feet tall, and the home in her model is 8 inches tall. She wants to add figurines to her model to represent her family. Her brother is 5 feet tall. How many inches tall is the figurine in the model that represents her brother?
General
5 months ago
Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x) = 2x + 3 The function g of x going through 1 on the x axis and 1, 4
General
5 months ago
Hadley paddled a canoe 2/3 mile in 1/4 hour. How fast did Hadley paddle,in miles per hour?
General
5 months ago
a farmer collected 12 dozen eggs from her chickens. she sold 5/6 of the eggs at the farmers market and gave the rest to friends and neighbors. How many dozen eggs did the farmer give away? how many eggs did she give away? she sold each dozen for $4.50. how much did she earn from the eggs she sold?
General
5 months ago
Joanna is filling bags with candy. Each bag has 5 pieces of candy. Joanna wants 2/5 of the candy in each bag to be chocolate bars. Solve using the table below.
General
5 months ago
The function g is defined by g(x)=9k−4, where k is a constant. Find k, if the graph of g passes through the point (7,−2).
General
5 months ago
A cruise ship is traveling at a speed of 20 knots . A knot is approximately equal to 1.151 miles per hour. What is the approximate speed the ship is traveling in yards per second ? Round to the nearest tenth.
General
5 months ago
Ted can mow the lawn in 5 minutes by using his power mower. Galen takes 15 minutes to mow the same lawn using a push-type mower. How many minutes would the job take if the two boys worked together? If t is the time working together, which of the following expressions represents the portion of the job that Ted will complete when the guys work together?
General
5 months ago
Factor 3x^2 − 6x − 9 completely. A. 3(x − 1)(x + 3) B. 3(x + 1)(x − 3) C. (3x + 1)(x − 3) D. (3x -1)(x + 3)
General
5 months ago
The rectangle shown has a perimeter of 34 cm and the area given its length is 5 more than twice the width write and solve a system of equations to find the dimensions of the rectangle a=52cm^2
General
5 months ago
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