Step-by-step explanation:
Decide which of the following are quadratic equations.
(1) x2 + 5x – 2 = 0
(2) y2 = 5y – 10
(3) y2+
1
y
=2
(4) x+
1
x
=-2
(5) (m + 2) (m – 5) = 0
(6) m3 + 3m2 – 2 = 3m3
ANSWER:
(1) x2 + 5x – 2 = 0
Only one variable x.
Maximum index = 2
So, it is a quadratic equation.
(2) y2 = 5y – 10
Only one variable y.
Maximum index = 2
So, it is a quadratic equation.
(3) y2+
1
y
=2
⇒y3+1=2y
Only one variable y.
Maximum index = 3
So, it is not a quadratic equation.
(4) x+
1
x
=-2
⇒x2+1=-2x
Only one variable x.
Maximum index = 2
So, it is a quadratic equation.
(5) (m + 2) (m – 5) = 0
⇒m2-3m-10=0
Only one variable m.
Maximum index = 2
So, it is a quadratic equation.
(6) m3 + 3m2 – 2 = 3m3
Only one variable m.
Maximum index = 3
So, it is not a quadratic equation.
Answer:
(6,5)
Step-by-step explanation:
okay so the original point is (1,4). we know 1 is our X which is the one that is going up. and 4 is our Y which is going to the right. if you are moving 5 units to the right you will add 5 to 1 (our original x) which equals 6. And going 1 unit up our original Y is 4 so we add the 1 and now we get 5. our new point is (6,5)
For the given table, the difference between two consecutive y terms are

It means the difference is constant. So the given function is in arithmetic progression.
And to find the equation, representing the given series, we will use the formula for the nth term of arithmetic series, which is

Here,

So we will get

Answer:
I don't have c but I do have a and b
Step-by-step explanation:
Part A)
Angle 3 is 103° because 77° + ∠3= 180° and ∠3 = 180° - 77° = 103°
Part B)
Angle 4 is 77° because ∠3 + ∠4 = 180° and ∠4 = 180° - 103° = 77°
These are the answers for k12
Answer:
the Main Street district has 18 buildings
Step-by-step explanation:
Liberty craftworks have 12 buildings. Divide 12 by 2 and you get 6. 6x3=18