What is the distance between the 2 points? ( use pythagorean theorem)

  5

Step-by-step explanation:

The horizontal distance between the points is 3 units; the vertical distance is 4 units. The straight-line distance is the length of the hypotenuse of a right triangle with those side lengths. So, the distance between the two points is ...

  √(3² +4²) = √(9+16) = √25 = 5 . . . . units

Comment on this triangle

The numbers 3, 4, 5 are the smallest set of integers that satisfy the relation of the Pythagorean theorem. They are also the only set of sequential numbers or numbers in arithmetic sequence that satisfy the Pythagorean theorem. As a consequence, they show up often in geometry and algebra problems. The "3-4-5 triangle" is worth remembering. So, anytime you see numbers that have these ratios, such as 9, 12, 15, for example, you know they can be the sides of a right triangle.

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

answer:

it is 28 degrees colder in detroit than philadelphia.

step-by-step explanation:

what number adds to 21  

-7 + ? = 21

-7 + 28 = 21

hope it