Answer:
17/9
Step-by-step explanation:
The scaled figure in the right is larger, thus the scale factor is greater than 1.
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Answer:
x = -44/13
y = -65/13
Step-by-step explanation:
Using matrix form means using the crammers rule
The matrix form of the expression is written as;
![\left[\begin{array}{ccc}8&5\\-1&1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}9\\7\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%265%5C%5C-1%261%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D9%5C%5C7%5C%5C%5Cend%7Barray%7D%5Cright%5D)
AX = B
taking the determinant of A;
|A| = 8(1) - 5(-1)
|A| = 8 + 5
|A| = 13
After replacing the first row with the column matrix;
![A_x =\left[\begin{array}{ccc}9&5\\7&-1\\\end{array}\right]](https://tex.z-dn.net/?f=A_x%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D9%265%5C%5C7%26-1%5C%5C%5Cend%7Barray%7D%5Cright%5D)
|Ax| = 9(-1)-5(7)
||Ax| = -9 - 35
|Ax| = -44
x = |Ax|/|A|
x = -44/13
similarly for y
![A_x =\left[\begin{array}{ccc}8&9\\-1&7\\\end{array}\right]](https://tex.z-dn.net/?f=A_x%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%269%5C%5C-1%267%5C%5C%5Cend%7Barray%7D%5Cright%5D)
|Ay| = 8(7)+9
|Ay| = 56+9
|Ay| = 65
y = |Ay|/|A|
y = -65/13
Step-by-step explanation:
Math Formulas
Math formulas are expressions that have been created after several decades of research that help to solve questions quickly. It is easy to perform simple arithmetic calculations such as addition, subtraction, and so on. However, when it comes to algebraic expressions, geometry, and other topics you need mathematical formulas to simplify the process of reaching the answer and saving time in the process. At Cuemath you will not only find formulas for every topic but will also get an idea of how that equation was developed. Thus, you will not have to memorize formulas, as you understand the concept behind them.
Use these formulas to solve problems creatively and you will automatically see an improvement in your mathematical skills. Given below is the list of formulas alphabetically arranged for your convenience. Hence, you can easily find formulas that need to be revised or require to be referenced.
The links to the list of math formulas available on different topics have been arranged alphabetically for your convenience. So pick a topic and start learning!
List of All Math Formulas
Depending on what grade you belong to and what topic is being attempted, you can find all possible math formulas. All variations of the math formulas available with their proofs and derivations are given below. So what are you waiting for? Get started on your learning journey today!
(a+b)^2 Formula(a+b)^3 Formula(a-b)^2 Formula(a-b)^3 Formula(x+1)^3 Expand Formula20º Celsius to Fahrenheit Formula 25º Celsius to Fahrenheit Formula2cosacosb Formula30-60-90 Formula3D Distance Formula90 Degree Angle FormulaA Union B Formulaa^2-b^2 Formulaa^3+b^3 Formulaa^3-b^3 Formulaa2 + b2 + c2 formulaAccuracy FormulaAddition FormulaAlgebra FormulasAlgebra FormulasAlgebraic Sequence FormulaAll Circle FormulasAltitude of a Triangle FormulaAmplitude FormulaAngle Bisector FormulaAngle Difference FormulaAngles FormulasAnnuity FormulaAnova FormulaAntiderivative FormulaAPY FormulaArc Length Formula in RadiansArccot FormulaArctan FormulaArea of a Sector of a Circle FormulaArea of Circle FormulaArea Under the Curve FormulaArithmetic Mean FormulaArithmetic Sequence FormulaArithmetic Sequence Explicit FormulaArithmetic Sequence Recursive FormulaASA FormulaAssociative Property FormulaAsymptote FormulaAverage Deviation FormulaAverage FormulaAverage Rate of Change FormulaAverage Speed FormulaAxis of Symmetry Formula Basic Algebra FormulaBasic Statistics FormulaBaye's FormulaBinary to Decimal FormulaBinomial Distribution FormulaBinomial Expansion FormulasBinomial Theorem FormulaCalculus FormulasCelsius Formula Celsius to Fahrenheit FormulaCelsius To Kelvin FormulaCentimeter Square to Meter Square FormulaCentral Angle of a Circle FormulaCentral Limit Theorem FormulaCentral Tendency FormulaCentroid FormulaCentroid of a Trapezoid FormulaChain Rule FormulaChange of Base FormulaChi Square FormulaCircle Graph FormulaClock Angle FormulaCoefficient of Variation FormulaCofactor FormulaCoin Toss Probability FormulaCombination FormulaCommon Ratio FormulaCommutative Property FormulaCompleting the Square FormulaComplex Number FormulaCompound Interest FormulaConditional Probability FormulaCone Height FormulaConfidence Interval FormulaConsecutive Integers FormulaContinuous Compounding FormulaConvert Millimeter to Inches FormulaConverting Degrees to Radians FormulaCorrelation Coefficient FormulaCos Double Angle FormulaCos Inverse FormulaCos Square Theta FormulaCosec Cot FormulaCosecant FormulaCosine FormulasCot - Tan FormulaCotangent FormulaCovariance FormulaCP FormulaCpk FormulaCross Product FormulaCube FormulaCube Root FormulaCubic Equation FormulaCurrent FormulaDaily Compound Interest FormulaDe Moivre's FormulaDecay FormulaDecimal to Binary FormulaDecimal to Hexadecimal Conversion FormulaDecimals FormulaDefinite Integral FormulaDerivative FormulaDeterminant FormulaDiagonal of a Cube FormulaDiagonal of a Polygon FormulaDiagonal of Parallelogram FormulaDiagonal of Rectangle FormulaDiagonal of Square FormulaDiagonals FormulaDiameter FormulaDiameter of a Sphere Formula Using VolumeDifference of Cubes FormulaDifference of Squares FormulaDifference Quotient FormulaDifferential Equations FormulaDifferentiation and Integration FormulaDimension FormulaDirect Proportion FormulaDirect Variation FormulaDirection of a Vector FormulaDiscount Formula Discriminant FormulasDisk Method FormulaDistance FormulaDistributive Property FormulaDividend Divisor Quotient Remainder FormulaDivision FormulaDot Product FormulaDouble Angle FormulasDouble Time FormulaEffective Annual Rate FormulaEffective Interest Rate FormulaEllipse FormulaEmpirical Probability FormulaEmpirical Rule FormulaEndpoint FormulaEquation of a Circle FormulaEquilateral Triangle FormulasEuclidean Distance FormulaEuler's FormulaExpected Value FormulaExponential Decay FormulaExponential Distribution FormulaExponential Equation FormulaExponential FormulasExponential Function FormulaExponential Growth and Decay Formula
Yes. Their sum can be equal to 1 because if they have the same denominator they will add easier like 3/4 and 1/4 or 1/2 and 1/2. All of them have the same denominator and still equal 1
