Answer:
x = sqrt(29)/2 - 3/2 or x = -3/2 - sqrt(29)/2
Step-by-step explanation by completing the square:
Solve for x over the real numbers:
x^2 + 3 x - 5 = 0
Add 5 to both sides:
x^2 + 3 x = 5
Add 9/4 to both sides:
x^2 + 3 x + 9/4 = 29/4
Write the left hand side as a square:
(x + 3/2)^2 = 29/4
Take the square root of both sides:
x + 3/2 = sqrt(29)/2 or x + 3/2 = -sqrt(29)/2
Subtract 3/2 from both sides:
x = sqrt(29)/2 - 3/2 or x + 3/2 = -sqrt(29)/2
Subtract 3/2 from both sides:
Answer: x = sqrt(29)/2 - 3/2 or x = -3/2 - sqrt(29)/2
Answer:
92.75 cm^2
Step-by-step explanation:
Area of triangle ADC
= (1/2)×4.5×12 = 27
Area of triangle ACB
=(1/2)×12×5 = 30
Find AB using pythagoras theorem on triangle ABC:
AB^2 = 5^2 + 12^2 = 25 + 144
AB^2 = 169
AB = 13cm
Area of triangle AGB
= (1/2)×13×5.5 = 35.75
Total area = sum of the areas of the 3 triangles found above
= 27 + 30 + 35.75 = 92.75 cm^2
A prime number is an integer that can only be divided by one, or itself; some example of prime numbers include 5, 7, 11, and 13. A composite number is an integer that can be divided other than one and itself; some examples of composite numbers are <span>16, </span>18<span>, 20, 21, 22, 24, </span>25<span>, </span>26.
Answer:
Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.