The average rate of change is 12.
27 - 3 = 24.
1 - (-1) = 2 [it’s essentially 1 + 1].
24/2 = 12.
In the parallelogram ABCD, join BD.
Consider the triangle Δ ABD.
It is given that AB > AD.
Since, in a triangle, angle opposite to longer side is larger, we have,
∠ ADB > ∠ ABD. --- (1)
Also, AB || DC and BD is a transversal.
Therefore,
∠ ABD = ∠ BDC
Substitute in (1), we get,
∠ ADB > ∠ BDC.
Answer:
x = 2
Step-by-step explanation:
(16 =
and 8 =
)

Since the base number is 2, the exponents must equal each other.
So:
12x = 3x+18
9x = 18
x = 2
Take the decimal and multiply it by 100.
Answer:
Step-by-step explanation:
Given equation:
On comparing the equation by ax² + bx + x = 0, We get: a = 1, b = 2 and c = 3
To Find the nature of the roots of the equation firstly we need to find the discriminant of the equation. The expression b²- 4ac is called the discriminant.

- Two Distinct real roots, if b² - 4ac > 0
- Two equal real roots, if b² - 4ac = 0
- No real roots, if b² - 4ac < 0

The discriminant is smaller than 0.
- <u>Hence, Equation has no </u><u>real</u><u> roots (no solution)</u>