Answer:
24.98 units
Step-by-step explanation:
The picture of the question in the attached figure
we have the coordinates
P(1,-6),D(4,3),O(7,-6)
The perimeter of triangle OPD is equal to
the formula to calculate the distance between two points is equal to
step 1
Find the distance OP
we have
O(7,-6),P(1,-6)
substitute in the formula
step 2
Find the distance PD
we have
P(1,-6),D(4,3)
substitute in the formula
step 3
Find the distance OD
we have
O(7,-6),D(4,3)
substitute in the formula
step 4
Find the perimeter
It’s the second one. The one that is g(x) = |x + 3| — 1
(x - 2)²(x+1)
(x-2)(x-2)
multiply the two brackets together
(x)(x)=x^2
(x)(-2)=-2x
(-2)(x)=-2x
(-2)(-2)=4
x^2-2x-2x+4
x^2-4x+4
(x^2-4x+4)(x+1)
multiply the brackets together
(x^2)(x)=x^3
(x^2)(1)=x^2
(-4x)(x)=-4x^2
(-4x)(1)=-4x
(4)(1)=4
x^3+x^2-4x^2-4x+4x+4
Answer:
x^3-3x^2+4
The Median is the middle value.
Arrange the numbers in order from smallest to largest:
Seattle: 23.78 , 32.46, 40.30, 45.79, 49.42, 55.14
Since there is an even number, the median is found by adding the 2 middle numbers and dividing by 2.
Median for Seattle: 40.30 + 45.79 = 86.09 / 2 = 43.045
Now do the same for Las Vegas:
2.33, 3.72, 3.84, 4.11, 5.62, 8.79
Median for Las Vegas: 3.84 + 4.11 = 7.95 / 2 = 3.975
Difference: 43.045 - 3.975 = 39.07
The answer is B.
Answer:
x=20
Step-by-step explanation:
The Pythagorean theorem is
a^2 +b^2 = c^2
where a and b are the legs and c is the hypotenuse.
The legs are x and 15 and the hypotenuse is 25
x^2 + 15^2 = 25^2
x^2 +225 = 625
Subtract 225 from each side
x^2 +225-225 = 625-225
x^2 = 400
Take the square root of each side
sqrt(x^2) = sqrt(400)
x = 20
