1. the kahn's family lives in a house that has a backyard in the shape of an isosceles trapezoid and a triangle. the area of the backyard can be expressed as the sum of the area of the triangle and the area of the trapezoid, which is bh+(pq the base and the height of the triangle are represented by b and h, respectively. the bases of the trapezoid are p and q, and the height of the trapezoid is l. 2 rearrange the formula to find the length of base as a function of the lengths of the other sections of the backyard.

Step-by-step explanation:

Given : The Kahn's Family lives in a house that has a backyard in the shape of an isosceles trapezoid and a triangle.

The area (A) of the backyard can be expressed as the sum of the area of the triangle and the area of the trapezoid :

, where base and the height of the triangle are represented by b and h, respectively. The bases of the trapezoid are p and q, and the height of the trapezoid is L.

To find the formula for base b, we subtract expression from both sides of the given formula , we get

Now, multiply both sides by 2 and divide both sides by h , we get

i.e. The formula to find the length of base as a function of the lengths of the other sections of the backyard will be :-

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.