# Questions on Geometry: Points, lines, angles, perimeter answered by real tutors!

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 Geometry: Points, lines, angles, perimeter Solvers Lessons Answers archive Quiz In Depth

 Question 62756: WHAT IS THE SLOPE OF THE LINE THROUGH THE POINTS A(-1,6) AND B(5,2)? Click here to see answer by jai_kos(139)

 Question 63811: GIVEN THAT LOGa(x)=3.58 AND LOGa(y)= 4.79, FIND LOGa(y/x). Click here to see answer by joyofmath(189)

 Question 63806: THE AMOUNT OF A RADIOACTIVE TRACER REMAINING AFTER t DAYS IS GIVEN BY A=Ao e-0.058t, WHERE Ao IS THE STARTING AMOUNT AT THE BEGINNING OF THE TIME PERIOD. HOW MANY DAYS WILL IT TAKE FOR ONE HALF OF THE ORIGINAL AMOUNT TO DECAY? Click here to see answer by venugopalramana(3286)

 Question 63952: WRITE THE EXPRESSION LOGa(y+5) +2 LOGa(x+1) AS ONE LOGARITHM. Click here to see answer by stanbon(57282)

 Question 63951: THE POPULATION P OF A CERTAIN CULTURE IS EXPECTED TO BE GIVEN BY A MODEL P=100e^rt WHERE r IS A CONSTANT TO BE DETERMINED AND t IS A NUMBER OF DAYS SINCE THE ORIGINAL POPULATION OF 100 WAS ESTABLISHED. FIND THE VALUE OF r IF THE POPULATION IS EXPECTED TO REACH 200 IN 3 DAYS. Click here to see answer by stanbon(57282)

 Question 63955: THE AMOUNT A IN AN ACCOUNT AFTER t YEARS FROM AN INITIAL PRINCIPLE P INVESTED AT AN ANNUAL RATE r COMPOUNDED CONTINUOUSLY IS GIVEN BY A =Pe^rt WHERE r IS EXPRESSED AS A DECIMAL. SOLVE THIS FORMULA FOR t IN TERMS OF A,P,AND r. Click here to see answer by stanbon(57282)

 Question 63949: FIND THE EXACT SOLUTION TO THE EQUATION 3^x+5 = 9^x. Click here to see answer by 303795(595)

 Question 63954: THE DECIBEL LEVEL OF SOUND IS GIVEN BY D=10 LOG(I/10^-12), WHERE I IS THE SOUND INTENSITY MEASURED IN WATTS PER SQUARE METER FIND THE DECIBEL LEVEL OF A WHISPER AT AN INTENSITY OF 5.4 x 10^-10 WATTS PER SQUARE METER. Click here to see answer by ankor@dixie-net.com(15645)

 Question 64139: A BACTERIA CULTURE STARTED WITH A COUNT OF 480 AT 8:00 A.M. AND AFTER t HOURS IS EXPECTED TO GROW TO f(t)=480(3/2)t. ESTIMATE THE NUMBER OF BACTERIA IN THE CULTURE AT NOON THE SAME DAYS. Click here to see answer by stanbon(57282)

 Question 64137: THE AMOUNT A IN AN ACCOUNT AFTER t YEARS OF AN INITIAL PRINCIPLE P INVESTED AT AN ANNUAL RATE r COMPOUNDED CONTINUOUSLY IS GIVEN BY A=Pe^rt WHERE r IS EXPRESSED AS A DECIMAL. WHAT IS THE AMOUNT IN THE ACCOUNT IF \$500 IS INVESTED FOR 10 YEARS AT THE ANNUAL RATE OF 5% COMPOUNDED CONTINUOUSLY? Click here to see answer by stanbon(57282)

 Question 64133: THE AMOUNT OF A RADIOACTIVE TRACER REMAINING AFTER t DAYS IS GIVEN BY A=Aoe^0.18t, WHERE Ao IS THE STARTING AMOUNT AT THE BEGINNING OF THE TIME PERIOD. HOW MUCH SHOULD BE ACQUIRED NOW TO HAVE 40 GRAMS REMAINING AFTER 3 DAYS? Click here to see answer by ankor@dixie-net.com(15645)

 Question 64216: FIND AN EXPONENTIAL FUNCTION OF THE FORM f(x)=ba^x+c WITH y-INTERCEPT 2, HORIZONTAL ASYMPTOTE y=-2, THAT PASSES THROUGH THE POINT P(1,4). Click here to see answer by stanbon(57282)

 Question 64215: IF A PIECE OF REAL ESTATE PURCHASED FOR \$75,000 IN 1998 APPRECIATES AT THE RATE OF 6% PER YEAR, THEN ITS VALUE t YEARS AFTER THE PURCHASE WILL BE f(t)=75,000(1.06^t). ACCORDING TO THIS MODEL, BY HOW MUCH WILL THE VALUE OF THIS PIECE OF PROPERTY INCREASE BETWEEN THE YEARS 2005 AND 2008? Click here to see answer by stanbon(57282)

 Question 64823: FOR THE FUNCTION DEFINED BY f(x)=5x-4,FIND A FORMULA FOR f^-1(x). Click here to see answer by navytutor(7)

 Question 64975: FIND THE POINT ON THE POSITIVE y-AXIS THAT IS A DISTANCE 5 FROM THE POINT P(3,4). Click here to see answer by funmath(2925)

 Question 64974: FIND THE MIDPOINT OF THE LINE SEGMENT FROM A(-2,9) TO B(4,5). Click here to see answer by tutorcecilia(2152)

 Question 64973: DETERMINE THE POINT A(x,y) SO THAT THE POINTS A(x,y),B(O,3),C(1,0),D(7,2) WILL BE THE VERTICES OF A PARALLELOGRAM. Click here to see answer by cristiana(10)

 Question 64971: THE AMOUNT A IN AN ACCOUNT AFTER t YEARS FROM AN INITIAL PRINCILE P INVESTED AT AN ANNUAL RATE r COMPOUNDED CONTINUOUSLY IS GIVEN BY A=Pe^rt WHERE r IS EXPRESSED AS A DECIMAL. HOW MANY YEARS WILL IT TAKE AN INITIAL INVESTMENT OF \$1,000 TO GROW TO \$1,700 AT THE RATE OF 4.42% COMPOUNDED CONTINUOUSLY? Click here to see answer by funmath(2925)

 Question 65275: find the equation of the line that passes through the intersection of the given pair of lines and satisfies the other given condition. graph. 3x+4y-2=0, 3x-4y+1=0; the intercepts are equal Click here to see answer by Edwin McCravy(8893)

 Question 63804: SOLVE THE EQUATION ln(x + 5) - ln(3)=ln(x-3). Click here to see answer by venugopalramana(3286)

 Question 66464: Use the point-slope form to find a general form of the equation of the line whose slope is -1/3 and that passes through (2,3). Click here to see answer by stanbon(57282)

 Question 66739: Show that the quadrilateral with vertices A(-3,5), B(-1,0), C(11,12), and D(1,9) is a trapezoid. Click here to see answer by venugopalramana(3286)

 Question 66781: Point P is on the perpindicular bisector of line AB Which of the following statements is true? 1. AP = BP 2. AP = 1/2 AB A) Neither 1 or 2 B) 1 only C) 2 only D)Both 1 and 2 Click here to see answer by stanbon(57282)

 Question 67834: Need help! Studying for my final exam and unable to comprehend the following from quiz given. 1. Give the center of the circle with equation x2+2x+y2-10y+22=0. 2. Find an equation for the line with slope 1/2 and y-intercept 3. 3. Find the slope of the line through the points A(-1, 6) and B(5, 2). 4. Find an equation for the line with y-intercept 3that is perpendicular to the line y=2/3 x-4. 5. If f(x)=x2+5, find f(a+h)-f(a). Please respond ASAP...Thank You, John Click here to see answer by venugopalramana(3286)

 Question 67835: 1. From a square piece of cardboard with wisth x inches, a square of width x-3 inches is removed from the center. Write the area of the remaining piece as a function of x. 2. If P(4, -5) is a point on the graph of the function y=f(x), find the corresponding point on the graph of y=2f(x-6). 3. Explain how the graph of y-5=(x-3)2 power can be obtained from the graph of y=x2. 4. Determine the vertex of y=x2-8x+22. 5. Find the maximum value of y=-x2 + 6x. 6. Given f(x)=5x+7 and g(x)=x2+7, find (g o f)(x). Click here to see answer by stanbon(57282)

 Question 67838: Determine the point A9x, y) so that the points A(x,y), B(0,3), C(1,0), D(7,2) will be the vertices of a parallelogram. Find the point on the positive y-axis that is a distance 5 from the point P(3,4). Find the x-intercept and y-intercept of the equation 5x-3y=30. Give the equation for the circle with center C(3,-2) and radius 4. Find an equation for the line with slope 1/2 and y-intercept 3. Find an equation for the line with y-intercept 3 that is perpendicular to the line y=2/3x -4. Studying for final exam and need feedback on these questions from quiz's. Thanks... Click here to see answer by stanbon(57282)

 Question 69326: How many lines can contain any two points P and Q and why? Click here to see answer by checkley75(3666)

 Question 69581: What is the perimeter of a rectangle that has an area of 400 square meters and a width of 16 meters? It is 82 cm or in or whatever Click here to see answer by smartiex99(1)

 Question 70066: Hello, I need help finding the perimeter of a square with a side of 13in. THANK YOU!! Click here to see answer by nitannax(1)

 Question 70533: Find the distance between the pair of points. Give an exact answer, and, where appropriate, an approximation to two decimal places. (-4,-3) and (2,-6) Click here to see answer by stanbon(57282)

 Question 70825: The graph of the line y = -6 is parallel to which axis in the coordinate plane. Expalin why? Click here to see answer by stanbon(57282)

 Question 70857: Suppose you have 100 feet of fencing that you want to use to enclose the greatest possible rectangular area of your backyard. First, draw three rectangles of different dimensions that each has a perimeter of 100 feet. Calculate the area of each of the three rectangles. After studying your three rectangles, decide what would be the greatest possible area that has a perimeter of 100 feet? Click here to see answer by checkley75(3666)

 Question 71934: Hello, I need help finding the sin, cos, and tan of an angle of 53 degrees. Thank you Click here to see answer by stanbon(57282)

 Question 73465: Find the equation of the line satisfying the given conditions : parallel to the x-axis and passes through the point (-5,-3). Click here to see answer by stanbon(57282)

 Question 73464: Find the equation of the line satisfying the given conditions : Perpendicular to the graph of y + 6 = -1/3x and passes through the point at (-4,-5) Click here to see answer by checkley75(3666)

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