1:-
0.25



- q not equal to zero hence proved
2:-
Its Slightly false.
Counter example :-
The sum of two rational numbers is may be rational. The sum of two irrational numbers is always irrational.”
ex:-


3:-
NOTA



If you can rewrite the formula as (x-a)² + (y-b)² = r², the center is at (a,b) and the radius is r.
If you work out this equation, and map it to the original, you will find that the +4x term hints that a = 2 (double product) and -12y hints that b=-6, and r=6.
So, the formula can be written as (x+2)² + (y-6)² = 6² and the center is at (-2,6) and the radius is 6.
Answer:
∠2
Step-by-step explanation:
A supplementary angle is a 180° angle formed by two angles. ∠3 and ∠2 form a straight line / 180° angle.
Expanded Notation Form: 60,978= 60,000 +0 +900 +70 +8
Expanded Factors Form: 60,978= 6 × 10,000 +0 × 1,000 +9 × 100 +7 × 10 +8 × 1
Expanded Exponential Form: 60,978 = 6 × 104+0 × 103+9 × 102+7 × 101+8 × 100
Word Form:60,978 =sixty thousand nine hundred seventy-eight
Answer:
The value of n is -6
Step-by-step explanation:
- If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
- If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
- The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex
∵ k(x) = x²
→ Its graph is a parabola with vertex (0, 0)
∴ The vertex of the prabola which represents it is (0, 0)
∵ The given graph is the graph of p(x)
∵ Its vertex is (0, -6)
∴ h = 0 and k = -6
∵ a = 1
→ Substitute them in the form above
∴ p(x) = 1(x - 0)² + -6
∴ p(x) = x² - 6
→ Substitute x² by k(x)
∴ p(x) = k(x) - 6
∵ p(x) = k(x) + n
→ By comparing the two right sides
∴ n = -6
∴ The value of n is -6
Look at the attached figure for more understanding
The red parabola represents k(x)
The blue parabola represents p(x)