Answer:
x ≈ 15.0 ft
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Trigonometry</u>
- tan∅ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Define</u>
Angle = 28°
Opposite leg of angle = 8 ft
Adjacent leg of angle = x ft
<u>Step 2: Find </u><em><u>x</u></em>
- Substitute: tan28° = 8/x
- Multiply <em>x </em>on both sides: xtan28° = 8
- Divide tan28° on both sides: x = 8/tan28°
- Evaluate: x = 15.0458
- Round: x ≈ 15.0 ft
Which of the following lists of ordered pairs is a function? A.(2, 4), (3, 9), (4, 16), (5, 25) B.(0, 2), (4, 2), (0, –4), (4, –
marta [7]
A, is the answer because each input has one and only one output
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:
C
Step-by-step explanation:
Multiply the number of muffins by how much baking powder is in each muffin. That's read as 6/1 × 3/8 which equals 18/8.