The range is the set of y coordinates (or outputs). For any point (x,y) the y coordinate is the second number listed. For example, with (8,7) the y coordinate is 7.
So we simply list all of the y coordinates of each ordered pair. Those values are: 1, 0, -1, 7, 7
Let's order them as you would see on a number line
-1, 0, 1, 7, 7
then let's toss out the extra 7 to get
-1, 0, 1, 7
So the range is the set {-1, 0, 1, 7}
4,000,000 + 3,000 + 50 + 2 = 4003052
4,003,052 is the 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:
Step-by-step explanation:
32
Step 1 : Draw PQ = 6cm
Step 2 : Construct 60 degree at Q. [Given PQR = 60=> Q = 60 ]
Step 3 : Take 5 cm on compass and mark 5cm on the 60 degree
line constructed at Q.
Step 4 : The arc of 5cm and 60 degree line meets is the point R.
[Given QR = 5cm ]
Step 5 : Given PQ || SR so construct a 120° at R ,
because ∠PQR and ∠QRS are supplementary angle.
[ ∠PQR + ∠QRS = 60 + 120 = 180° ]
Step 6 : At P , take 6.5 cm on compass and mark on the line drawn in
Step 5, to get S. [ Given PS = 6.5 ]
33
Given adjacent sides : 4.8 and 4.2
And it is a rectangle.
Step 1 : construct AB = 4.8 cm
Step 2 :At A and B construct 90 degree
Step 3: On the compass take 4.2cm and mark on the 90degree lines
from A and B.
Step 4 : Mark that as C and D respectively.
Step 5 : Join CD
A.
miles per gallon
given
450 miles on 10 gallons
450/10=45/1=45mi/1gal
45mpg
the milage is 45 miles per gallon
b.
60 gallons?
45 miles per gallon times 60 gallons=2700 miles
can travel 2700 miles with 45 gallons
