A circle has center at the intersection of the two lines, 4x + y = 4 and x - y= 6.  If it passes through the origin, what is the area of this circle?

Q: The third side of the triangle is 4 inches longer than the shortest side and 2 inches smaller than…

A: Given the third side of the triangle is 4 inches longer than the shortest side and 2 inches smaller…

Q: The side of a square is x meters. The midpoints of its sides are joined to form another square whose…

A: Given side length of outer square =x m and area of smaller square =16 m2. We know the area of a…

Q: A small radio transmitter broadcasts in a 62 mile radius. If you drive along a straight line from a…

A: Consider the transmitter at the origin. The radio transmitter broadcasts in a 62 mile radius ∴ The…

Q: A small radio transmitter broadcasts in a 67 mile radius. If you drive along a straight line from a…

A:

Q: A small radio transmitter broadcasts in a 27 mile radius. If you drive along a straight line from a…

A: According to questionA small radio transmitter broadcasts in a 27 mile radius.

Q: The size of a rectangular television is usually describe in term of the length of its diagonal. If a…

A: width of screen is 14.28 inches. Explanation is given below

Q: If 5 cm and 3 cm are added to the length and width of a square, the perimeter of the resulting…

A: Given data:   The final length of the rectangle is L=x+5. The final width of the rectangle is B=x+3.…

Q: A small radio transmitter broadcasts in a 29 mile radius. If you drive along a straight line from a…

A: Given  Radius=29 miles  North of the transmitter=39 miles  East of the transmitter=32 miles

Q: A rectangular playing field lies in the interior of an elliptical track that is 40 yards wide and…

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Q: A rectangle has an area of 160 cm and a perimeter of 52 cm. What are its dimensions? Its length is…

A:

Q: A small radio transmitter broadcasts in a 42 mile radius. If you drive along a straight line from a…

A: Given,Radius = 42 miles So, the equation of the circlex2 + y2 = 422           …… (1)Transmitter at…

Q: The length of a rectangular pool is 6 meters less than twice the width. If the pool's perimeter is…

A: Given: The length of a rectangular pool is 6 meters less than twice the width

Q: Two​ joggers, one averaging 7 mph and one averaging 5 ​mph, start from a designated initial point.…

A: Calculation:Time = Distance / Speed

Q: A box, with a square base is to have a volume of V = 360 cubic inches. The cost for the materials of…

A:

Q: A window is in the form of an equilateral triangle surmounted on a rectangle. The rectangle is of…

A:

Q: A small radio transmitter broadcasts in a 38 mile radius. If you drive along a straight line from a…

A: Given: Radius of radio transmitter broadcasts=38 miles and you drive along a straight line from a…

Q: The sum of the lengths of any two sides of a triangle is greater than the length of the third side.…

A:

Q: A rectangle with vertices in quadrants I and IV has 2 vertices located at (2,2) and (7,2). If the…

A: Assume  length = a Width = b Vertices , ( 2 ,2 ) and ( 7,2 ) From the given vertices  length a = 5…

Q: A rectangular field is four times as long as it is wide. If the perimeter of the field is 500 yards,…

A:

Q: What is true when two chords intersect inside of a circle? Their intersection MUST go through the…

A: Consider a circle with two chord which intersect each other:

Q: A rectangle has an area of 210 cm and a perimeter of 58 cm. What are its dimensions? Its length is…

A: We have to find length and width

Q: A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the…

A: Here we can note the following  (a) Area of an equilateral triangle with side a = 34a2 Area of a…

Q: A rectangular garden is 10 ft longer than it is wide. Its area is 1575 ft". What are its dimensions?…

A: Given that area of garden is 1575ft2let the garden width is 'x'then according to question length of…

Q: a person has a rectangular garden with a width of 2 feet and a lengh of 8 feet. to form a border of…

A:

Q: The sum of the interior angles is six times the sum of its exterior angles. How many diagonals does…

A: A detailed solution is given below

Q: A rectangle is 7 cm longer than it is wide. Find the dimensions of the rectangle if its area is 337…

A:

Q: Find the perimeter of the rectangle that has its 4 corners: (1,2), (7,2). (1-4) and (7-4)

A:

Q: You have 272 feet of fencing and would like to build a playpen for your two show poodles.  The…

A: We use second derivative test to find largest area dimensions for each poodles

Q: A small radio transmitter broadcasts in a 30 mile radius. If you drive along a straight line from a…

A: Given:   Assuming transmitter is located (0, 0). From a city 37 miles north of the transmitter (0,…

Q: What is the area of a quadrilateral with vertices at (-2,-6), (1,-6), (-2,0), and (1,0)? Enter the…

A:

Q: . A farmer with 2000 meters of fencing wants to enclose a rectangular plot that orders on a straight…

A:

Q: A rectangular field is to be fence into four equal parts. What is the size of the largest field that…

A: Given information:- A rectangular field is to be fence into four equal parts. What is the size of…

Q: Find the values of δƒ/δx and δƒ/δy at the point (4, -5) ifƒ(x, y) = x2 + 3xy + y - 1.

A: ddxxn=n xn-1

Q: A small radio transmitter broadcasts in a 59 mile radius. If you drive along a straight line from a…

A:

Q: A rectangular field is three times as long as it is wide. If the perimeter of the field is 400…

A: Suppose that the width of a rectangular field is x then the length of the rectangular field is 3x.

Q: A certain driving test requires the driver to stop with the front wheel of the vehicle inside a…

A: The area of a rectangle is calculated using the formula below. The perimeter of a rectangle is…

Q: A farmer with 2000 meters of fencing wants to enclose a rectangular plot that borders on a straight…

A: Let l and w be the length and width of the rectangular plot. Use the formula A=lw, to find the area…

Q: The perimeter of a triangle is 94 centimeters. If two sides are equally long and the third side is…

A: Given that Perimeter of triangle is 94 cmtwo sides are equal and third side is 10 cm longer that the…

Q: If the length of a certain rectangle is  decreased by 4 feet and the width is increased by 3 feet ,…

A:

Q: A rectangle whose width is less than its length by 3 and its area is 4, then its length is

A: Please refer the attached image for complete solution.

Q: List the sides in order from shortest to longest in AXYZ: with mZX = 50, mZY= 5x + 10, and mZZ= 5x.…

A:

Q: The capacity of a cylinder varies jointly with its height and the square of its radius. If a…

A: Proportionality sign is important when we say a quantity varies directly or indirectly with some…

Q: The top and bottom margins of a poster are 2 cm and the side margins are each 3 cm. If the area of…

A: Given that:- 1.  length of each box in top row is of 2cm and similarly, in last row length of each…

Q: A small radio transmitter broadcasts in a 47 mile radius. If you drive along a straight line from a…

A: Given data:     The given radius is: R=47 miles. The given north point is: a=54 miles. The given…

Q: A rectangle is 4 feet longer than it is wide. If its area is 60 square feet, find its dimensions

A: Let the width of the rectangle be x, then the length is x+4 Now, Area = 60 ft2 => x(x+4) = 60

Q: Two rectangles are similar. One has a perimeter of 15 inches, the other a perimeter of 45. If x is…

A: We will solve the following