First, by using the distance formula for just one side, we can find the length of all sides (a square has 4 equal sides.) Then, we can apply the area of a square formula, which is a^2.
Distance formula:
√((-2 + 5)^2 + (-8 + 4)^2)
√((3)^2 + (4)^2)
√9 + 16
√25
5
The side lengths of the square are each equal to 5, and by applying the formula for area, we can find the area of the square.
5^2 = 25
<h3>The area is 25.</h3>Answer:
The slope equation of the line AB is
Step-by-step explanation:
Here, the given points are A (2, 3) and B (7,4).
Now, slope of any line is given as :
or,
Hence, the slope of the line AB is (1/5)
Now , A POINT SLOPE FORM of an equation is
(y - y0) = m (x - x0) ; (x0, y0) is any arbitrary point on line.
Hence, the equation of line AB with slope (1/5 ) and point (7,4) is given as:
or, 5y - 20 = x -7
⇒ x - 57 + 13 = 0 ( SIMPLIFIED FORM of equation)
Hence, the slope equation of the line AB is
Answer:
probability = 0.2517
Step-by-step explanation:
given data
boy kittens = 9
girl kittens = 6
choose kittens at random = 9
solution
total kitten are = 9 + 6 = 15
first we get here total no of probability that is
n(s) = 15 C 9
n(s) =
n(s) =5005
and
total way to chose 5 boy kittens is = 9 C 3
n(3) =
n(3) = 84
and
total way to chose 4 girl kittens is = 6 C 4
n(4) =
n(4) = 15
so
total way to chose 5 boy kittens and 4 girl kittens is
total way = 84 ×15 = 1260
so probability that the director chooses 5 boy kittens and 4 girl kittens is
probability =
probability = 0.2517