A patio is in the shape of a trapezoid. The length of the longer base is 17 feet. The length of the shorter base is two feet less than half the longer base. The height is 4 feet. What is the area of the patio?

The area of the patio is 43 square feet

Step-by-step explanation:

In this question, we have a trapezoid and we are asked to calculate the area of the patio which is in the form of the trapezoid.

Please check attachment for possible trapezoid picture.

Mathematically, the area of the trapezoid can be calculated using the mathematical formula below;

A = 1/2 (a+b) h

where a and b are the lengths of the parallel sides.

Now, let’s say a is 17 feet

b was stated explicitly to be 2 feet half the length of the longer base. That would be 1/2(17) - 2 = 8.5 -2 = 6.5 feet

Now let’s calculate the area of the patio;

A = 1/2(6.5+17) * 4 = 2(23.5) = 47 square feet

the answer will be b x² +x-1

step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.