Answer:
x= 45, y = 90
Step-by-step explanation:
3x + x = 180 (angles in opposite segments are supplementary)
4x = 180
x = 45
y = 2(45) = 90 (angle at centre = 2 times angle at circumference)
<h2>
The greatest possible value of the second root, β = 54 </h2>
Step-by-step explanation:
The given quadratic equation:
Let α and β be the roots of the given quadratic equation.
α = 36
To find, the greatest possible value of the second root ( β) = ?
∴ The sum of the roots,
α + β =
⇒ 36 + β =
⇒ 5m = 36 + β ............. (1)
The product of the roots,
α.β =
⇒
⇒ ............. (2)
From equations (1) and (2), we get
⇒
⇒
⇒
⇒ β(β - 54) - 24(β - 54) = 0
⇒ (β - 54)(β - 24) = 0
⇒ β - 54 = 0 or, β - 24 = 0
⇒ β = 54 or, β = 24
∴ The greatest possible value of the second root, β = 54
C) 54 is correct
Multiply all numbers! Mark with crown!
Answer:
I'm pretty sure that all of the Prime numbers only have two factors. Let's say 3 for an example.
Step-by-step explanation:
The number 3 only has the factors of 3 and 1.
The two factors are itself (of course) and 1 (any number can go into one).
Another way to do this if you had to find out an answer like this.
3x1=3. Any number that can go into itself times 1 has only 2 factors.
Or at least I think. This is probably wrong. So Sorry if it is.
Answer:
9
Step-by-step explanation: