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What does the line y=k-1/4a represent in y=a(x-h)^2+k, the standard form of equation for a parabola?
General
4 months ago
Suppose a chord of a circle is 16 inches long and is 6 inches from the center of the circle. what is the length of the radius
General
4 months ago
Write the quadratic function in vertex form: f(x) = 8x2 + 2x - 5
General
4 months ago
Which system of inequalities is represented by the graph?y ≤ 3x y > –2x – 1y > 3x y ≤ –2x – 1y < –3x y ≥ 2x – 1y > –3x y ≤ 2x – 1
General
4 months ago
Maple trees suitable for tapping for syrup should be at least 1.5 feet in diameter. you wrap a rope around a tree trunk, then measure the length of the rope needed to wrap one time around the trunk. this length is 4 feet 2 inches. explain how you can use this length to determine whether the tree is suitable for tapping.
General
4 months ago
Darlene wrote this proof of the identity (x + y)2 - (x - y)2 = 4xy. Which of the following is a justification for Step 3 of her proof? Step 1: (x + y)2 - (x - y)2 = (x + y)(x + y) - (x - y)(x - y) Step 2: (x + y)(x + y) - (x - y)(x - y) = (x2 + xy + xy + y2) - (x2 - xy - xy + y2) Step 3: (x2 + xy + xy + y2) - (x2 - xy - xy + y2) = (x2 + 2xy + y2) - (x2 - 2xy + y2) Step 4: (x2 + 2xy + y2) - (x2 - 2xy + y2) = x2 + 2xy + y2 - x2 + 2xy - y2 Step 5: x2 + 2xy + y2 - x2 + 2xy - y2 = 4xy A. Reflexive property B. Definition of squaring a binomial C. Combining like terms D. Distributive property
General
4 months ago
If x√(1+y) + y√(1+x) = 0 , then dy/dx = ?
General
4 months ago
A sixteen-sided number cube has the numbers 1 through 16 on each face. Each face is equally likely to show after a roll. What is the probability that you will roll an even One-hundred students were allowed to re-take an exam for their math course. The probability distribution shows how studying for the latest exam affected their grade when compared with the first time they took the exam. What is the probability that a student who studied for the exam saw an increase in their exam grade? Round to the nearest thousandth.number or an odd prime number? Round to the nearest thousandth.
General
4 months ago
Let v = (v1, v2) be a vector in r2. show that (v2, −v1) is orthogonal to v, and use this fact to find two unit vectors orthogonal to the given vector. v = (9, 40)
General
4 months ago
in 2009, the maximum taxable income for social security was $102,000 and the rate was 6.2%. The rate for medicare tax was 1.45%. If Jessica's taxable income was $152,000 that year, how much did she pay in FICA taxes?
General
4 months ago
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