Answer:
The numbers are either ±13.35 and ±1.35 or ±1.35 and ±13.3
Step-by-step explanation:
Let the two numbers be 'x' and 'y'.
Given:
The squares of the sum of two numbers = 144
The sum of their squares = 180
The sum of the numbers =
The square of the sum of numbers =
Square of first number =
Square of second number =
The sum of their squares =
Now, as per question:
Expanding equation (1) using the formula
This gives,
Plug in the value of 'y' from equation (3) in equation (1). This gives,
Therefore,
Therefore, the numbers are either ±13.35 and ±1.35 or ±1.35 and ±13.3
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Answer:
x = 1±2i
Step-by-step explanation:
(x - 1)^2 = -4.
Take the square root of each side
sqrt( (x - 1)^2) = sqrt(-4)
Sqrt(ab) = sqrt(a)sqrt(b)
We know the sqrt(4) = 2 and the sqrt(-1) = ±i
x-1 = ±2i
Add 1 to each side
x-1+1 = 1±2i
x = 1±2i
Answer:
see the explanation
Step-by-step explanation:
we know that
The y-intercept is the value of the function y when the value of x is equal to zero
Part 1) we have
For x=0
substitute in the linear equation and solve for y
therefore
The y-intercept is the point (0,-6)
Part 2) Find the y-intercept of the function represented in the graph
Looking at the graph
For x=0
Find the value of y in the graph
The value of y is equal to y=1
therefore
The y-intercept is the point (0,1)
To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate