The equation ℎ = −2t^2 + 16t + 9 represents the height of a ball where h, is the height of the ball above ground, in metres and t, is the time, in seconds.   a) Determine the maximum height (complete the square) of the ball and when it occurs.  b) What is the height of the ball after 2 seconds?

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: A rectangle has an area of 90 cm? and a perimeter of 42 cm. What are its dimensions? Its length is…

A:

Q: A rancher decides to enclose a rectangular region and 2240 feet of the new fence on the other three…

A: Given A rancher decides to enclose a rectangular region and 2240 feet of the new fence on the other…

Q: What is the area of triangle bounded by the x-axis, the y-axis, and the line y=−4x+4?

A:

Q: The owner of a ranch has 3,900 yards of fencing material with which to enclose a rectangular piece…

A: We have to find dimensions and largest area. Given the owner of a ranch has 3,900 yards of fencing…

Q: A rectangular garden is 10 ft longer than it is wide. Its area is 5600 ft What are its dimensions?…

A:

Q: I need help understanding how to solve eqations using the quadratic formula.

A: The Quadratic formula:

Q: A piece of land is in the shape of a parallelogram whose altitude is one-third of its base. If the…

A: Given that

Q: An expecting mother wants to convert a corner of the nursery in her house into a rectangular playpen…

A: Let x and y be the dimension of the rectangular playpen. Given

Q: How many right triangles have a hypotenuse that measures 4x + 5 inches and legs that measure 3x + 13…

A: Given: Hypotenuse of right triangle is 4x+5 inches and legs are 3x+13 inches and x inches. To…

Q: 2. The delivery truck driver took 10 hr. to deliver products to an outline which is 600 km away from…

A:

Q: Find the point whose distance from (7,-3) is square root of 58 and whose abscissa equals it's…

A:

Q: The length of the shadow of your 1.6-meter height is 2.8 meters at a certain time in the afternoon.…

A:

Q: Suppose you want to build a rectangular sandbox where the width is 33 feet less than the length and…

A:

Q: Prove that golden rectangle is a rectangle where, if you cut off a square (side length equal to the…

A:

Q: One leg of the right triangle is 6 cm longer than the other leg. The length of the height from the…

A: To find the length of the hypotenuse without using the quadratic formula.

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

A:

Q: Suppose that you have entered an 87-mile biathlon that consists of a run and a bicycle race. during…

A: In an 87-mile biathlon during run, average speed is 6 miles per hour, and during bicycle race,…

Q: A rectangle has an area of 160 cm? and a perimeter of 56 cm. What are its dimensions? Its length is…

A: Area of rectangle is length×widthPerimeter of the rectangle is 2×length+width

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

A:

Q: Mang Toti has a rectangular lot with one side against the wall. If he has 160m of fencing materials,…

A:

Q: A rancher wants to fence in an area of 2500000 square feet in a rectangular field and then divide it…

A: Let length of the sides are x and y. And the middle fence is parallel to x side.So total fence…

Q: The perimeter of a rectangle is 52cm, it’s area is 165 square meters and the dimensions are 15m by…

A: Introduction: A rectangle is a two-dimensional figure with length and breadth. It is a quadrilateral…

Q: 1.", The difference of the squares of two consecutive even integers is 92. What are these numbers?…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one…

Q: The hypotenious of a grassy land in the shape of a right triangle is 1 meter more than twice the…

A: let the length of shortest side = x mthen we have hypotenious =(2x+1) mthird side =(x+7) m

Q: A rectangular garden is 25ft wide. If its area is 1125ft^2, what is the length of the garden

A:

Q: 2. Show that the sum of the squares of the distances of the vertex of the right angle of a right…

A: In this sum we are going to use the Pythagorean theorem and the concept of similar triangle.…

Q: A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the…

A:

Q: A rectangle's length , x, is 2 meters greater than its width.  If the perimeter of the rectangle is…

A: Let the legth of the rectangle is x  And widht is y then according to the question x=2+y Or y=x-2

Q: Marcus has à square-shaped garden that has an area of 4(x2-y2) square feet. If the garden has four…

A: In this question given that area of square and ask that square each section area when we decided…

Q: hat is the area, in square inches, of a regular octagon with 9-inch sides if the distance from the…

A: To find the area of a regular octagon

Q: If area of a rectangular ground is 12500 m^2. Length is 125m. Its perimeter will be ?

A: It is given that,  Area, A=Length ×Breadth=12500 m2 Length, L=125 m Therefore,…

Q: The owner of Rancho Los Feliz has 2940 yd of fencing to enclose a rectangular piece of grazing land…

A:

Q: An office wants to create a cubicle for a new employee. The cubicle will be rectangular , with three…

A:

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

A:

Q: Suppose that you have entered an 87-mile biathlon that consists of a run and a bicycle race. During…

A: Distance is equal to speed times the time taken. So, to calculate the distance of the run, first we…

Q: Vikram wishes to fit three rods together in the shape of a right triangle. The hypotenuse is to be 2…

A: Topic:- right angle triangle

Q: 2) Find the length of the legs of a right triangle whose hypotenuse is 26 cm and whose area is 120…

A:

Q: A developer owns a piece of land enclosed on three sides by streets, giving it the shape of a right…

A: Suppose that x is the length of the longer leg.  It is given that the hypotenuse is 8 meters longer…

Q: A rectangular dog pen is constructed using a barn wall as one side 66 meters  of fencing for the…

A: NOTE: Refresh your page if you can't see any equations. . x=width of the rectangle y=length of the…

Q: A rectangular building is to be built on a triangular corner lot with the perpendicular sides equal…

A:

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

A:

Q: A container manufacturer plans to make rectangular boxes whose bottom and top measure x by 3x. The…

A: Top measure of the container is x by 3x.  Let h be the height of the container. So, the volume of…

Q: The distance between (5,1),(-2,b) is square root of 85. What is b?

A:

Q: An orchard owner has shown that if 25 apple trees are planted in one acre, each tree yields an…

A: Given - An orchard owner has shown that if 25 apple trees are planted in one acre, each tree yields…

Q: What is the maximum area that can be completed with 240 feet of fencing? What are the dimensions?

A:

Q: A rectangular building is to be built on a triangular corner lot with the perpendicular sides equal…

A:

Q: A farmer has 2400 feet of fencing and wants to fence off a rectangular field that borders a straight…

A: