Answer:
Please check the explanation.
Step-by-step explanation:
The general quadratic equation is
ax²+bx+c=0
The discriminant = D = b² - 4ac
When b² - 4ac = 0 there is one real root.
When b² - 4ac > 0 there are two real roots.
When b² - 4ac < 0 there are two complex roots.
1) x² -6x + 9=0
On comparing with given quadratic equation x² -6x + 9=0
a = 1, b=-6, c=9
D = b² - 4ac
= (-6)² - 4(1)(9)
= 36 - 36
= 0
D = 0
Thus, there is one real root of quadratic equation x² -6x + 9=0.
2) x² -4x + 3=0
On comparing with given quadratic equation x² -4x + 3=0
a = 1, b=-4, c=3
D = b² - 4ac
= (-4)² - 4(1)(3)
= 16 - 12
= 4
D > 0
Thus, there are two real roots of quadratic equation x² -4x + 3=0.
3) x² -7x - 4=0
On comparing with given quadratic equation x² -7x - 4=0
a = 1, b=-7, c=-4
D = b² - 4ac
= (-7)² - 4(1)(-4)
= 49 + 16
= 65
D > 0
Thus, there are two real roots of quadratic equation x² -7x - 4=0
4) 2x² +3x +5=0
On comparing with given quadratic equation 2x² +3x +5=0
a = 2, b=3, c=5
D = b² - 4ac
= (3)² - 4(2)(5)
= 9 - 40
= -31
D < 0
Thus, there are two complex roots of quadratic equation 2x² +3x +5=0
Answer:
The answer is -8 (Option B)
Step-by-step explanation:
You can solve this by replacing x in the equation with 8, because the question give us what x equals. So instead of y=8-2x, we get y=8-2(8)
Now that we have the complete equation, we can solve for y:
y= 8 - 2x
y= 8 - 2(8)
y= 8 - 16
y= -8
Answer:
Step-by-step explanation:
Let A1 be the area of one square and A2 be the area of second square
So,
A1 = s^2
where s is side of square
So side of one square is 
To calculate the length of fence we need to find the perimeter of the square
So,
P1 = 4 * s
For second square:
The perimeter will be:
So the total fence will be: P1+P2
I think x=6 if im correct but not 100% sure
Covert the ratios so they are all the same measurement type.
A. 5 feet = 5 x 12 = 60 inches.
The scale becomes 1:60
B. 1:30
C. 12 yards = 12 x 3 = 36 feet x 12 = 432 inches.
The scale is 12:432 = 1:36
D. 1 meter = 39.37 inches.
1 inch = 2.54 cm
39.37 x 2.54 = 99.99 inches
The scale converted to inches becomes 1 :100 inches.
The first number would be the size of the drawing, the second number is the size of the actual object
If you use all 4 scale factors for a real object that is 100 inches:
A would need 100/60 = 1.67 inches.
B would need 100/30 = 3.3 inches.
C would need 100/36 = 2.78 inches.
D would need 100/100 = 1 inch.
The larger scaled drawing would be B.
