What is the mathematical sentence of these and express into quadratic expression in terms of "x"? 1. The length of a wooden frame is 1 foot longer than its width and its area is equal to 12ft^2.

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: Two numbers whose product is 1 are called opposites. صواب خطأ

A: Opposite of a number is just negative of that.If x is number then -x is its opposite number not 1x.…

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

A: The Quadratic formula:

Q: How can I find a quadratic equation that is found by points (60,430), (80,280) and (100,280) also…

A: A regression line not necessarily follows a linear pattern.

Q: a. A rectangle has a length of 3 inches and a width of 5 inches. How would the perimeter and the…

A: According to a Bartleby guidelines only one question can be solved at one time, post the remaining…

Q: 2. The perimeter of the rectangle is 96 when the length of a rectangle is twice the width. What are…

A: Given- The perimeter of the rectangle is 96 and the length of the rectangle is twice the width. To…

Q: A 150-pound person uses 5.7 calories per minute when walking at a speed of 4 mph. How long must a…

A:

Q: A rectangular garden is 5 ft longer than it is wide. Its area is 6000 ft². What are its dimensions?…

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 man wants to cut three lengths from a single piece of board of length 91cm.The second length is to…

A: Let the length of the shortest piece be x cm. Then length of second piece and third piece are (x+3)…

Q: Laura has a rectangular garden whose width is x3 and whose length is x4.In terms of x, what is the…

A:

Q: What is the correct  solution to the  equation  3(×+4)-2=16 show your work

A: Using simplification and then solve for x,

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

A:

Q: please explain how to solve this problem

A: *used power rule

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: Part (a)

A: Given,            f(z)=ezz

Q: Find two numbers whose sum is 9 if the product of one by the square of the other is a maximum

A: Explanation of the answer is as follows

Q: The solution of quadratic equations helps in solving some practical problems. What are the seven…

A:

Q: What are the dimensions of a rectangle whose length is 4 more than twice the width and whose…

A: Given the data:

Q: Sorry? Could you please write down the solutions? I cannot understand in this form.

A:

Q: What is the number whose square diminishes from three times its 2 times

A:

Q: Please help me solve it. Number 3 and 4

A: Area of sector when central angle is 360° is πr2 Therefore area of sector when central angle is 1°…

Q: What positive number exceeds its cube by the maximum amount?

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

Q: Find three positive numbers whose sum is 12 and the sum of whose squares is the smallest. Show the…

A:

Q: What are quadratic équations, what would be the simplest way to understand them and what can I…

A: The quadratic equation is always of the form ax2+bx+c=0 or ax+b2+c=0 where a, b,c are real constant…

Q: 4. If a car moving at a constant rate travels (2x3-x2-4x + 3) km in (x2 - 2x + 1) hours, what is the…

A: Given- Distance travelled by a car=2x3-x2-4x+3Time taken=(x-1)2 We have to find the rate of the car…

Q: A 12-meter rope is broken in half so that x meters make a circle and the remainder forms an…

A: Topic = Algebra

Q: Suppose two numbers add up to 20. What is the maximum value of their product?

A: Given that: Two numbers add up to 20.

Q: Find a number whose difference from its square root is least

A: Explanation of the answer is as follows

Q: A rectangle is three timesas long as it is wide and has the same perimeter as a square whose area is…

A: Let the width of the rectangle is x. According to the question length of the rectangle will be 3x.…

Q: A rectangle is three times as long as it is wide and has the same perimeter as a square whose area…

A: This is s language problem

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​ 150-pound person uses 5.7 calories per minute when walking at a speed of 4 mph. How long must a…

A: From the given statement, the person uses 5.7 calories per minute at the speed of 4 mph.

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

A:

Q: A rectangular garden is 5 ft longer than it is wide. Its area is 6800 ft. What are its dimensions? s…

A: Given: A rectangular garden whose length is 5 feet more than its width. The area of the garden is…

Q: What is the maximum product of two numbers that add to 28? What numbers yield this product?

A: Given query is to find two numbers that add to 28 and their product will be maximum

Q: What is the area of a rectangle that has a length of 3x and a width that is 5 less than 2 times the…

A:

Q: Suppose you are given a Rectangular piece of cardboard having length 3x-7 inches and width 5x+2…

A:

Q: A 10­foot board is cut into two pieces. If one piece is x feet long, express the other length in…

A: The total length of the board is given by L = 10 ft The length of the one piece after cutting is x…

Q: Are there number whose square are smaller than the number itself? Is there a real number whose…

A: 1) yes there is a number whose square are smaller than the number. Take 12=0.5 Square of 1/2 is…

Q: The area of a paper that will be used to print a photo is 192 square inches. If a margin of 1 inch…

A:

Q: Find the root between [-5,-4] where f(x) = (x+2)' – 3x +5 with error =0.1 by using False Position…

A: To Solve the given problem by using Regula Falsi Method to find the Root

Q: Are there numbers whose squares are smaller than the numbers themselves

A: To find number such that x2 < x.

Q: Find two numbers whose sum is 12 and the product of the square of the first number by the cube of…

A:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.