Answer:
Y = -10X - 5
Step-by-step explanation:
Y = mX + b
m - slope
b - y - intercept.
Answer:
A. 7
Step-by-step explanation:
Let's assume
boiling point is y
altitude is x
we are given
This relationship between altitude and boiling point is linear
At an altitude of 1000 feet, water boils at 210°F
so, first point is (1000,210)
so, x1=1000 , y1=210
At an altitude of 3000 feet, water boils at 206°F
so, second point is (3000,206)
so, x2=3000,y2=206
now, we can find slope
now, we can plug values
now, we can use point slope form of line
so, we can plug it
so, point slope form of line is
now, we can plug x=8000
and then we can solve for y
So,
the boiling point of water at an altitude of 8000 feet is 196°F..........Answer
X² + 1 = 0
=> (x+1)² - 2x = 0
=> x+1 = √(2x)
or x - √(2x) + 1 = 0
Now take y=√x
So, the equation changes to
y² - y√2 + 1 = 0
By quadratic formula, we get:-
y = [√2 ± √(2–4)]/2
or √x = (√2 ± i√2)/2 or (1 ± i)/√2 [by cancelling the √2 in numerator and denominator and ‘i' is a imaginary number with value √(-1)]
or x = [(1 ± i)²]/2
So roots are [(1+i)²]/2 and [(1 - i)²]/2
Thus we got two roots but in complex plane. If you put this values in the formula for formation of quadratic equation, that is x²+(a+b)x - ab where a and b are roots of the equation, you will get the equation
x² + 1 = 0 back again
So it’s x=1 or x=-1
Answer:
(-6,-1)
Step-by-step explanation:
let b be x2,y2
then apply mid point formula
x=(x1+x2)/2
y=(y1+y2)/2
