The expression (21 + 5i) + (-1 + i) demonstrates the commutative property of addition for (-1 + i) + (21 + 5i)
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more number and variables.
Given the expression:
(-1 + i) + (21 + 5i)
Using the commutative property of addition, we get:
(21 + 5i) + (-1 + i)
The expression (21 + 5i) + (-1 + i) demonstrates the commutative property of addition for (-1 + i) + (21 + 5i)
Find out more on equation at: brainly.com/question/2972832
#SPJ4
Answer:
Set one: 12 and 13
Set two: -13 and - 12
Step-by-step explanation:
Let the smaller number = x
Let the larger number = x + 1
x^2 + (x + 1)^2 = 313 Remove the brackets on the left.
x^2 + (x^2 + 2x + 1) = 313
x^2 + x^2 + 2x + 1 = 313 Collect like terms
2x^2 + 2x + 1 = 313 Subtract 313 from both sides
2x^2 + 2x + 1 - 313 = 313 - 313
2x^2 + 2x - 312 = 0 Divide by 2
x^2 + x - 156 = 0
factor
There are two sets of factors that work
Set One
x = 12
x + 1 = 13
Set Two
x = - 13
x+1 = -13 + 1 = - 12
The second set is where you will get your marks. Few people will remember to use the minus answer
Answer:
Local minimum at x = 0.
Step-by-step explanation:
Local minimums occur when g'(x) = 0 and g"(x) > 0.
Local maximums occur when g'(x) = 0 and g"(x) < 0.
Set g'(x) equal to 0 and solve:
0 = 2x (x − 1)² (x + 1)²
x = 0, 1, or -1
Evaluate g"(x) at each point:
g"(0) = 2
g"(1) = 0
g"(-1) = 0
There is a local minimum at x = 0.
Answer:
30 ft
Step-by-step explanation:
This is a classic right triangle problem, where the length of the ladder represents the hypotenuse, where the ladder is lengthwise from the building is the base of the triangle, and what we are looking for is the height of the triangle. Pythagorean's Theorem will help us find this length.
so
1024 - 100 = y^2 and
y = 30.4 so 30 feet
