Check the picture below.
now, we have a triangle with all three sides, thus we can use Heron's Area Formula on the triangle.
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)
Answer:
(i) Lowest Temperature: Warsaw
Highest Temperature: Cairo
(ii) 27.1 + 35.2 = 62.3°C
Because it is like having a unit of measurement that is set
lets say that in a certain country, one serving of bread is 1/2 of the standard loaf
and if you have 3 servings, you have 3/2 loaf so the bottom number tells you how many parts out of 1 whole you have
Answer:
The required graph is shown below:
Step-by-step explanation:
Consider the provided graph
The above function is a linear function.
We can draw the graph of the linear function with the help of two points.
Substitute x = 0 in
Hence, the coordinates are (0,2)
Substitute f(x) = 0 in
Hence, the coordinates are (-0.0625,0)
Now join the above points.
The required graph is shown below: