Description : A line passes through the point of intersection of the lines 100x + 50y – 1 = 0 and 75x + 25y + 3 = 0 and makes equal intercepts on the axes. -Maths 9th
Last Answer : (d) x + 2y = 2Let the required equation make intercept on x-axis = 2a ⇒ intercept made on y-axis = a ∴ Eqn of the given line in the intercept from:\(rac{x}{2a}+rac{y}{a}=1\) ...(i)Since the line ... 1 ⇒ a = 1.∴ Required equation of line : \(rac{x}{2 imes1}+rac{y}{1}=1\) ⇒ x + 2y = 2.
Description : What is the ratio of surface area to volume for a sphere with the following measurements surface area equals 588 M squared volume equals 1372 m to the Third?
Last Answer : The ratio appears to be 588 to 1372 or 3 to 7 in its simplest form
Description : What are the points of intersection of the line 2x plus 5y equals 4 with the curve y squared equals x plus 4?
Last Answer : If: 2x +5y = 4 then 25y^2 = 4x^2 -16x +16If: y^2 = x +4 then 25y^2 = 25x +100So: 4x^2 -16x +16 = 25x +100Transposing terms: 4x^2 -41x -84 = 0Factorizing the above: (4x+7)(x-12) = 0 meaning x = -7/4 or x =12By substitution into original equation points of intersection:(-7/4, 3/2) and (12, -4)
Description : What are the points of contact when the line x -y equals 2 crosses the curve x squared -4y squared equals 5 showing work?
Last Answer : If: x -y = 2 then x^2 = (2+y)^2 => 4+4y+y^2If: x^2 -4y^2 = 5 then x^2 = 5+4y^2So: 5+4y^2 = 4+4y+y^2Transposing terms: 3y^2 -4y +1 = 0Factorizing the above: (3y-1)(y-1) = 0 meaning y = 1/3 or y =1By substitution contacts are made at: (7/3, 1/3) and (3, 1)
Description : What are the points of intersection between the line 3x -y equals 5 and the curve 2x squared plus y squared equals 129?
Last Answer : If: 3x-y = 5 then y^2 = (3x_5)^2 => 9x^2 -30x+25If: 2x^2 + y^2 = 129 then y^2 = 129-2x^2So: 9x^2 -30x+25 = 129-2x^2Transposing terms: 11x^2 -30x -104 = 0Factorizing the above: (11x- ... x = 52/11 or x= -2By substituting x into the original equation intersections areat: (52/11, 101/11) and (-2, -11)
Description : What are the values of x y and k when the line y equals 3x plus 1 is a tangent to the circle x squared plus y squared equals k?
Last Answer : If y = 3x + 1 is a tangent to x² + y² = k (k > 0 since it isa square), then where they meet has a repeated root; they meetat:x² + (3x + 1)² = k→ x² + 9x² + 6x + 1 - k = 0→ 10x² + 6x + (1 - k) = 0This is the ... 3/10→ y = 3 -3/10 + 1 = 9/10 + 1 = 1/10→ point of contact is (-3/10, 1/10) with k = 1/10
Description : What is the perpendicular bisector equation of the line y equals 5x plus 10 spanning the parabola y equals x squared plus 4?
Last Answer : If: y = 5x +10 and y = x^2 +4Then: x^2 +4 = 5x +10Transposing terms: x^2 -5x -6 = 0Factorizing the above: (x-6)(X+1) = 0 meaning x = 6 or x =-1Therefore by substitution endpoints of the line are ... .5 = -1/5(x-2.25) => 5y= -x+114.75Perpendicular bisector equation in its general form: x+5y-114.75= 0
Description : What is Xy divided by y squared?
Last Answer : It is then x/y when simplified
Description : What is the point of contact when the tangent line y equals x plus c touches the circle x squared plus y squared equals 4?
Last Answer : The line meets the circle when:y = x + c→ x² + y² = 4→ x² + (x + c)² - 4 = 0→ x² + x² +2cx + c² - 4 = 0→ 2x² + 2cx + (c² - 4) = 0If the line is a tangent to the circle, this has a repeatedroot. This occurs ... 2 = 0→ (x + √2)² = 0→ x = -√2→ y = x + 2√2= -√2 + 2√2= √2→ point of contact is (-√2, √2)
Description : How do you graph y equals x squared plus 1?
Last Answer : Select a set of value of x in the range over which you wish todraw the graph. For each point, x, calculate x2+1 and then plot thepoint (x, x2+1) on a coordinate plane. Join these points with asmooth curve.
Description : What is the value of y when y equals 2x plus 1.25 is a tangent to the curve y squared equals 10x?
Last Answer : If the line y = 2x+1.25 is a tangent to the curve y^2 = 10x thenit works out that when x = 5/8 then y = 5/2
Description : The electric field of a point charge varies: w) linearly with distance and inversely with charge x) linearly with distance and inversely with charge squared y) linearly with charge and inversely with distance squared z) linearly with charge and inversely with distance
Last Answer : ANSWER: Z -- LINEARLY WITH CHARGE AND INVERSELY WITH DISTANCE
Description : An object with a mass of 5 kilograms is a distance of 5 meters above the surface of the earth. If the acceleration due to gravity is 10 meters per second squared, the potential energy of the object relative to the ... is: w) 10 joules x) 20 joules y) 100 joules z) 250 joules e) none of the above
Last Answer : ANSWER: Z -- 250 JOULES
Description : A car traveling at a constant velocity of 20 meters per second passes a second car which is initially at rest. The car which was at rest starts accelerating at 10 meters per second squared the instant it is passed ... car. They will meet again in: w) 2 seconds x) 4 seconds y) 6 seconds z) 8 seconds
Last Answer : ANSWER: X -- 4 SECONDS
Description : What is the hydrostatic pressure at the bottom of a pool 6 meters deep? w) 60,000 Newtons per meter squared x) 6,000 Newtons per meter squared y) 600 Newtons per meter squared z) 60 Newtons per meter squared
Last Answer : ANSWER: W -- 60,000 NEWTONS PER METER SQUARED
Description : The acceleration due to gravity on the moon is 1.6 meters per second squared. If a pendulum is whose length is 6.4 meters is placed on the moon, its period will be: w) 1.57 seconds x) 3.14 seconds y) 12.56 seconds z) 25.12 seconds
Last Answer : not real
Description : Carlos is pulling a 40 kilogram cart with a horizontal force of 100 newtons. The force of friction on the cart is 20 newtons. The acceleration of the cart is: w) 2 meters per second squared x) 2.5 meters per second squared y) 20 meters per second squared z) 200 meters per second squared
Last Answer : ANSWER: W -- 2 METERS PER SECOND SQUARED
Description : Ten coulombs of charge are placed on a solid copper sphere. Once the charge has come to rest, the ELECTRIC POTENTIAL inside the sphere is found to be: w) zero x) uniform inside the sphere and ... the sphere y) smaller than the electric potential outside the sphere z) varying as one over r squared
Last Answer : ANSWER: X -- UNIFORM INSIDE THE SPHERE AND EQUAL TO THE ELECTRIC POTENTIAL ON THE SURFACE OF THE SPHERE
Description : Ten coulombs of positive charge are placed on an irregularly-shaped, solid piece of copper. Once the charge has stopped moving, the electric field inside the copper is: w) zero x) changes as one ... squared y) becomes smaller as you approach the center z) becomes larger as you approach the center
Last Answer : ANSWER: W -- ZERO
Description : In physics, a radian per second squared is a unit of: w) angular displacement x) angular velocity y) angular acceleration z) angular momentum.
Last Answer : ANSWER: Y -- ANGULAR ACCELERATION
Description : An object is projected vertically upward near the surface of the earth. At the very top of its path, the object's velocity is zero, and its acceleration is: w) 0 x) 9.8 meters per second squared DOWNWARD y) 9.8 meters per second squared UPWARD z) depends on the mass of the object
Last Answer : ANSWER: X -- 9.8 METERS PER SECOND SQUARED DOWNWARD
Description : If a sled has a constant acceleration of 2 meters per second squared and starts from rest, the distance in meters that it will have covered after 5 seconds is: w) 10 meters x) 20 meters y) 25 meters z) 50 meters
Last Answer : ANSWER: Y -- 25 METERS
Description : The SI unit of pressure is the: w) Torr x) dyne per centimeter squared y) atmosphere z) pascal
Last Answer : ANSWER: Z -- PASCAL
Description : A constant potential difference is applied across the plates of a parallel-plate capacitor. Neglecting any edge effects, the electric field inside the capacitor is: w) constant x) varying as one over r squared y) decreasing as one moves from the positive to the negative plate z) zero
Last Answer : ANSWER: W -- CONSTANT
Description : For a parallel-plate capacitor with plate area "A" and plate separation "d", the capacitance is proportional to which of the following? w) A divided by d squared x) A times d y) A divided by d z) d divided by A
Last Answer : ANSWER: Y -- A DIVIDED BY D
Description : Five coulombs of charge are placed on a thin-walled conducting shell. Once the charge has come to rest, the electric potential inside the hollow conducting shell is found to be: w) zero x) uniform ... sphere y) smaller than the electric potential outside the sphere z) varying as one over r squared.
Last Answer : ANSWER: X -- UNIFORM INSIDE THE SPHERE AND EQUAL TO THE ELECTRIC OTENT
Description : For an infinite sheet of positive charge, the electric field lines: w) run parallel to the sheet of charge x) are perpendicular to the sheet of charge and point in toward the sheet y) are perpendicular to the sheet of charge and point away from the sheet z) fall off as one over r squared
Last Answer : ANSWER: Y -- ARE PERPENDICULAR TO THE SHEET OF CHARGE AND POINT AWAY
Description : A Newton is equal to which of the following? w) kilogram-meter per second x) meter per second squared y) kilogram-meter per second squared z) kilogram per meter-second
Last Answer : ANSWER: Y -- KILOGRAM-METER PER SECOND SQUARED
Description : What is the GCF of of 32xy 20y to the second power?
Last Answer : The GCF is 4y.
Description : What is the GCF of 8b to the 3rd power and 20a to the 2nd power?
Last Answer : The GCF is 4.
Description : which expression has the same GCF as 15xx-21x?
Last Answer : 36
Description : What is the gcf of 8 and 32?
Last Answer : 4
Description : What is GCF of 6 and 10?
Last Answer : What is the LCM of 10 and 6
Description : What is the GCF of 72 and 90?
Last Answer : It is: 18
Description : What are the GCF 140 180?
Last Answer : The GCF of the given two numbers is 20
Description : What is the GCF of 64 14 and 30?
Last Answer : The GCF is 2.
Description : What is the gcf of 28 48 and 96?
Description : What is the gcf of 91 78 65?
Last Answer : 91: 1, 7, 13, 9178: 1, 2, 3, 6, 13, 26, 39, and 7865: 1, 5, 13, and 65The answer is 13
Description : What is the GCF of 225 135 and 165?
Last Answer : The GCF is 15.
Description : Is this true or false and why The gcf of any two even numbers is always even?
Last Answer : True. Even numbers are even because they are multiples of 2.That means that any two even numbers will have at least 2 as acommon factor. Since that number (the GCF) will have 2 as a factor,it will be a multiple of 2: an even number.
Description : What do is the gcf of the polynomial 20x-4?
Last Answer : The GCF of 20 and 4 is 4.That factors to 4(5x - 1)
Description : What is the GCF of the numbers in the expression (32 plus 16) is?
Last Answer : The GCF of 16 and 32 is 16.
Description : What is the Gcf of 60 90 105?
Description : What is the GCF of 97 and 5?
Last Answer : It is: 1
Description : What is the gcf of 16 and 8 and 24?
Last Answer : It is 8
Description : What is the gcf between 42 49 84?
Last Answer : It is 7.
Description : What is the gcf of 8 and 24 and 20?
Last Answer : It is 4
Description : What is the gcf between 56 168 182?
Last Answer : It is 14.
Description : What is the gcf between 28 84 91?
Last Answer : 7 is their greatest common factor.
Description : What is the gcf of 6 42 and 12?
Last Answer : The GCF of the given three numbers is 6