B) Quality B is greater
C) The two quantities are equal
Answer: y = -2x + 6
Slope-intercept form: y = mx + b, where m = slope and b = y-int
m = -2
(-1, 8) --> -1 = x₁, 8 = y₁
Based on the slope and given point, use oint-slope form, y - y₁ = m(x - x₁), to find the slope-intercept equation:
y - 8 = -2[x -(-1)]
y - 8 = -2(x + 1)
y - 8 = -2x - 2
y = -2x + 6
15
C
А.
Find the length of "a"using
the Pythagorean Theorem.
Answer:
a = 12
General Formulas and Concepts:
Pre-Algebra
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
Step 1: Identify
We are given a right triangle. We can use PT to solve for the missing length a.
Step 2: Define
hypotenuse c = 15
leg b = 9
leg a = ?
Step 3: Find missing length a
Since we are not dealing with a quadrant triangle, we can disregard the negative root of the quadratic.
∴ a = 12 is our final answer.