San Francisco Bridge is 10 meters tall. The height of the bridge can rise or fall by 3 millmeters because of heavy cargo loads passing by. Write and solve an absolue value equation to find the minimum and maximum heights of the bridge.

Q: The perimeter of an isosceles triangle is 38 m. Find the length of the sides of the triangle of…

A: Let's find.

Q: Find the length and width of a rectangle taht has an area 968 square feet and whose perimeter is a…

A: Let x and y(in feet) be the length and width of the rectangle Then area of rectangle is

Q: The number of mosquitoes M(x), in millions , in a certain Area depends on the June rainfall x, in…

A:

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

A:

Q: The foot of an extension ladder is 10 feet from a wall, while the top of the ladder reaches the top…

A: Given that the length of the ladder is 2 feet more than the height of the wallAnd foot of the wall…

Q: Find the maximum number of goldfish you can put in a cylindrical tank whose diameter is 8 meters and…

A: Fish would be put in the tank, that is, the volume of the tank. Hence the volume of the tank helps…

Q: A farmer wants to put a fence around a vegetable garden. Only three sides must be fenced, since a…

A: Maximum area =200 square meter.... For detail...go through the solution....I have done solution step…

Q: A rectangular room is 1.5 times as long as it is wide and it’s perimeter is 40 meters

A: We will calculate the length and width of the room. Given, A rectangular room is 1.5 times as long…

Q: A rectangular carport has area 378 square feet. The height of the carport is 3 feet less than 5…

A:

Q: If the edge of the arch is the origin, and the arch has a width of 630 feet at the base, and the…

A: Given:maximum height of parabola =630ftwidth of parabola=630ftedge of parabola at origin

Q: A company has a total of $25600 to spend on the development and promotion of a new product. The…

A: Given,            A company has a total of $25600 to spend on the development and promotion of a new…

Q: 2x − y  =  15 3x + y  =  20  solve by graphing

A: The given system of equation is 2x − y = 15 3x + y = 20

Q: A rectangular garden has a width smaller than twice the length of 10 feet. Find the dimensions if it…

A:

Q: A large table for a conference room is to be constructed in the shape of a rectangle with two semi…

A: Solution :-A large table is constructedin the shape of rectangle with two semicircles at the endsThe…

Q: Write an equation for the quadratic graphed below x-intercepts (-2,0) and (3,0) y intercept (0,-2)…

A:

Q: A field is a rectangle with a perimeter of 960 feet. the length is 200 feet more than the width.…

A: Given rectangular field whose perimeter(P) is 960 feet.Length is 200 feet more than the width.Find…

Q: The area of a rectangular wall of a barn is 154 square feet. Its length is 8 feet longer than twice…

A:

Q: Find two numbers whose sum is 10, and the sum of whose squares is a minimum. Please put the…

A:

Q: solution

A:

Q: A telephone pole has a wire attached to its top that is anchored to the ground. The distance from…

A: let the height of the pole= x feet length of anchor point from the bottom of the pole= (x-68) feet…

Q: A rectangular room is 33 meters longer than it is wide, and its perimeter is 2626 meters. Find the…

A:

Q: The length of a rectangle exceeds it's width by 8 cm and the area of the rectangle is 240 sq.cm.Find…

A:

Q: The perimeter of a rectangle is to be no greater than 80 centimeters and the width must be 10…

A: let length be x and width is given to be 10. Perimeter of a rectangle is defined as 2(length +…

Q: A rectangle has a perimeter of 40m. What could be the maximum area of the rectangle?

A: A rectangle has a perimeter of 40 m. Let x and y be the length and width of the rectangle. Now…

Q: A rectangle has perimeter 42 feet and an area of 98 square feet. Find the dimensions of the…

A: Let x be the length of the rectangle and y be the width of the rectangle.Given, Perimeter of…

Q: the dimesnions of the pasture that will

A: Given that: A rancher has 300 feet of fencing to enclose a rectangular pasture bordered on one side…

Q: Martha bought a rectangular bedsheet. When home, she discovered that it is not fitted to her bed.…

A: Martha bought a rectangular bedsheet. When home, shediscovered that it is not fitted to her bed. So,…

Q: Find

A:

Q: A rectangular movie screen has an area of 10010 square feet. Find the dimensions of the screen if it…

A:

Q: You have 40 feet of fence to enclose a rectangular garden with two subdivisions. What is the maximum…

A:

Q: Carly has already written 35 pages of a novel. She plans to write 12 additional pages per month…

A: Given Data- We have given that Carly has already written 35 pages of a novel. She plans to write 12…

Q: Pedro wishes to use 100ft of fencing to enclose a rectangular garden. Determine the maximum possible…

A:

Q: The path of a basketball shot can be modelled by the equation h= - x² +10x – 1. Find the maximum…

A: The path of a basketball shot can be modelled by the equation h = -x2+10x.1   .........(1)we have to…

Q: The perimeter of a rectangle is to be no less than 72 centimeters and the width must be 17…

A: In the question we have to find minimum length of the rectangle.

Q: The perimeter of a rectangular garden is 120 meters. The length is 6 meters longer than twice the…

A:

Q: There is a ten-meter-long ladder that was placed against a tall vertical wall to make it a…

A: There is a ten-meter-long ladder that was placed against a tall vertical wall to make it a…

Q: A 12 foot ladder leans against a building at a 75° with the ground. Which equation below can be used…

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

Q: A rectangle's lenght is 7 meters shorter than twice the width. The perimeter is 64 meters. find the…

A: Let the length and breadth of the rectangle be l and b. l=2b-7 ----->(1) The perimeter of the…

Q: A rancher has 800 feet of fencing with which to enclose two adjacent rectangular corrals (see…

A: Given that the total Fence is 800 feet To find the dimensions of the enclosed area that maximize the…

Q: A rectangular picture frame has a perimeter of 5 meters. The height of the frame is 2/3 times its…

A:

Q: The perimeter of a rectangle is to be no greater than 100 centimeters and the width must be 15…

A: Perimeter of rectangle = 2 ( length + width)  Given width = 15 cm  and  perimeter of a rectangle…

Q: The area of a rectangular wall of a barn is 110 square feet. Its length is 12 feet longer than twice…

A:

Q: A grain silo has the shape of a right circular cylinder topped by a cone. The approximate area of…

A: Given- The approximate area of the circular base is 452.39 ft2, the total height of cylinder and…

Q: A rectangular room is 5 meters longer than it is wide, and it's perimeter is 22 meters. Find the…

A: Solution: The objective is to find the length and width of the rectangle

Q: 4. f(x)= -x3-3x2 + 9x +27

A: We have to complete the table

Q: The perimeter of a rectangle is 150 feet, the length is twice the width find the dimensions of the…

A:

Q: candle that is 8 inches tall burns at a rate of 3/4 inches per hour. Find the height of the candle…

A: Given that: Height of candle, h=8 inBurning rate=34 in /hr

Q: The base of a triangle measures 40 inches minus twice the measure of its height. For what measure of…

A: Let h is the height of the triangle Then, according to question  base=40-2h Then…

Q: billboard is a=12 feet longer than it is high. The billboard has 748 sq ft of advertising space.…

A: billboard is a=12 feet longer than it is high. The billboard has 748 sq ft of advertising space.…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.