Answer:
x = sqrt(105)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
16^2 + x^2 = 19^2
256 + x^2 = 361
x^2 = 361 -256
x^2 =105
Take the square root of each side
sqrt(x^2) = sqrt(105)
x = sqrt(105)
Answer: It should equal 10
Step-by-step explanation: X=10
K=1/3
simplify each bracket, put all numbers on the left hand side, equal it to 0 and solve for k
Answer:
Histogram.
Step-by-step explanation:
Such a Graph is called Histogram.
A histogram can be defined as a visual representation of data in form of bars of different heights. In histogram, each and every bar groups numbers into ranges. The greater the height of the bar, the larger the data falls into its range. It basically represents shape and spread of continuous data sample.
Answer:
x = -2 0r x = 6
Step-by-step explanation:
from the question
X² – 4x – 12=0
solve by completing the square method
we have;
X² – 4x – 12=0
X² – 4x = 12
to make the left hand side a perfect square we add 4 to both sides.
X² -4x + 4 = 12 + 4
X² -4x + 4 = 16
from left hand side X² -4x + 4
= (x -2) × ( x -2)
it can be simply expressed as
( x-2)²
so since X² -4x + 4 has been simplified to be ( x-2)²
then,
( x-2)² = 16
x - 2 = √ 16
since square root has two values it can either be positive or negative
so we have
x = 2 + √16
or
x = 2 - √16
therefore
x = 2 + √16
x = 2 + 4
x = 6
0r
x = 2 - 4
x = -2
