Kuta Software - Infinite Algebra 2 Name___________________________________ Writing Equations of Circles Date________________ Period____ Use the information provided to write the standard form equation of each circle. 1) 8 x + x 2 − 2 y = 64 − y 2 2) 137 + 6 y = − y 2 − x 2 − 24 x 3) x 2 + y 2 + 14 x − 12 y + 4 = 0 4) y 2 + 2 x + x 2 = 24 y − 120 5) x 2 + 2 x + y 2 = 55 + 10 y 6) 8 x + 32 y + y 2 = −263 − x 2 7) Center: (−11‚ −8) Radius: 4 8) Center: (−6‚ −15) Radius: 5 9) ( x − 16) 2
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Prefixes and Equations 1mL = -1x10 3 L = 0.001L 1 kilometers (1km) = 1000m (1x103 m) 1 kilometer (1KL) = 1000L (1x10 3 L) Prefixes Symbol Numerical Value Scientific Notation Equality Kilo | K | 1000 | 103 | 1km = 1x103m 1m = 1x10-3Km | Mega | M | 1 000 000 | 106 | 1Mg = 1x106g1g = 1x10-6Mg | Giga | G | 1 000 000 000 | 109 | 1Gm = 1x109m1m = 1x10-9Gm | Tera | T | 1 000 000 000 000 | 1012 | 1Ts = 1x1012s1s = 1x10-12Ts | Deci | d | 0.1 | 10-1 | 1dL = 1x10-1L1L = 1x101dL (10dL) | *These
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The Cold Equations This short story by Tom Godwin is a very sentimental and lesson learning story. Briefly‚ it is about a ship on a designated mission which encounters a problem because the pilot on the ship encounters a stowaway‚ a young girl‚ and every stowaway found on board must be jettisoned‚ it was the law and there was absolutely no appeal. Marilyn‚ the stowaway’s name‚ was simply a teen and all she wanted was to see her brother whom she hadn’t seen in over 10 years she really meant
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that is written first and negative half is written second. Subscripts are small numbers to the lower right of a symbol. They the number of atoms of that element in the compound. Coefficients are large numbers to the left of formulas in chemical equations. They represent the ratio of molecules of each substance involved in a chemical reaction. Weight Percentage is a percentage based on weights. Mole percentage is a percentage based on the numbers of atoms or moles. Formula units is the simplest
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Chapter 7: Intro to Sampling Distributions Sampling Error = x̄ - μ Z-Values for a sampling distribution of x̄ : Z = Z-Values adjusted with Finite Population Correction Applied if: the sample is large relative to the population (n is greater than 5% of N) and sampling Is without replacement Z = Using the Sampling Distribution for Means Compute the Sample Mean Define the sampling distribution μx̄ = Define the probability statement of interest P(z30 will give sampling distribution that
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Continuity Equations Continuity equation is a equation that explain the transport of a conserved quantity. Since‚ mass‚ energy‚ momentum are conserved under respective condition‚ a variety of physical phenomena may be describe using continuity equations. By using first law of thermodynamics‚ energy cannot be created or destroyed. It can only transfer by continuous flow. Total continuity equation (TCE)‚ component continuity equation(CCE) and energy equation(EE) is applied to do mathematical model
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Kinematics / Projectiles x =?vt ?v = (v + vo)/2 v = vo + at x = vot + ½at2 v2 = vo2 + 2ax y =?vt ?v ’ ½(vo + v) v = vo – gt y = vot – ½gt2 v2= vo2 – 2gy R = (v02/g)sin(2θ) Forces Fnet = ma Fgravity = mg Ffriction ≤ μsN Ffriction = μkN Circular Motion Fnet = mv2/r ac = v2/r v = 2πr/T f = 1/T T = 1/f Gravitation F = GM1M2/R2 g = GM/R2 T2/R3 = 4π2/GM = constant GM = Rv2 Energy W = Fdcosθ KE
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1.) What does the pilot want? To save the girl. 2.) Is the pilot likely to succeed? Most likely not because by doing so he would kill others. 3.)What does the sister want? She wants to live. 4.) Is the sister likely to succeed? I doubt it cause of there being a law and there seems theers no other way then her diying. 5.) What does the government want? For the girl to be thrown off the ship. 6.) Is the government likely to succeed? I belive so. 7.) What should happen? The girl should be saved
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The Vector equation of a plane To find the vector equation of a plane a point on the plane and two different direction vectors are required. The equation is defined as: where a is the point on the plane and b and c are the vectors. This equation can then be written as: The Cartesian equation of a plane The cartesian equation of the plane is easier to use. The equation is defined as: One of the advantages to writing the equation in cartesian form is that we can easily find the normal
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The goal for this experiment is to determine which out of the four balanced chemical equations best represent the thermal decomposition of sodium bicarbonate. The guiding question will be answered with the outcome of the sodium bicarbonates thermal decomposition and it being plugged in into the four balanced chemical equations. John Dalton atomic theory explains two fundamental laws of chemistry which are the law of conservation of mass and the law of definite proportions. The atomic theory states
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