Recent questions tagged distance

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Three point charges are placed at the corners of an equilateral triangle. Each side of the triangle is of length $$l$$. If two charges are positive, each of value $$+Q$$,...
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The stopping distance d, in metres, of a car travelling at a velocity of v km/ h is given by the formula d0.00702 + 0.015v. How fast, to the nearest whole number, is the ...
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A motorist travels at an average speed of 110km/h for 2 hours what does the motorist travel ?
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Consider a slider moving outwards with constant acceleration on a link which is rotating about one of its end in clockwise direction. The Coriolis acceleration on the sli...
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A skier slides down the frictionless slope as shown. What is the skier's speed at the bottom?Solution:The conservation of energy means that the energy of the skier is sam...
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Who is a Distance TVET college student?
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How do you measure the Distance to the Stars?
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What is the minimum following distance in meters that should be kept behind the vehicle in front?
292
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When is it mandatory to stop at a Stop street sign?
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Determine the values of $$m$$ for which $$y=m x-1$$ is a tangent to $$y=x^2-2 x+3$$.
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What is the distance formula?
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How do you solve the equation $ax^2 + bx + c = 0$ using the quadratic formula?
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A rubber ball dropped from a height of $$20 \mathrm{~m}$$ loses $$20 \%$$ of its previous height on each rebound.(a) Calculate the height to which the ball will rise on t...
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A ball bounces $$\frac{1}{2}$$ of its previous height on each bounce. Find the total distance covered by the ball, until it comes to rest, if it is dropped from a height ...
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A specific tree grows $$1,5 \mathrm{~m}$$ in the 1st year. Its growth each year thereafter is $$\frac{2}{3}$$ of its growth in the previous year. What is the greatest hei...
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Determine the equation of the line through the points $(1,2)$ and $(3,4)$ in the form $ax + by + c = 0$.
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Find the distance between the points $(2,3)$ and $(5,6)$.
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A boat is sailing due north at a speed of 15 knots. The wind is blowing from the northeast at a speed of 10 knots. What is the resulting speed and direction of the boat?
294
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If you run a 10 minute mile, how much faster are you running compared to someone who runs a 12 minute mile?
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The price of petrol has risen from R8 per litre to R12 per litre over the past 2 years. Determine the percentage increase in the price.
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$1(10,000)+2(1,000)+4(100)+3(10)+2(1)+5(1 / 10)+3(1 / 100)$Which number below is one-tenth of the expanded form above?A $$12422.53$$B $$1243.253$$C $$12432.53$$D $$1243... 612 views 0 answers A plane passing through the point \((3,1,1)$$ contains two lines whose direction ratios are $$1,-2,2$$ and $$2,3,-1$$ respectively. If this plane also passes through the ...
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The plane passing through the points $$(1,2,1),(2,1,2)$$ and parallel to the line, $$2 x=3 y, z=1$$ also passes through the point:
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\begin{aligned}&\text { What is the relationship between } x \text { and } y \text { in the table below? }\\&\begin{array}{|c|c|c|c|c|}\hline x & 1 & 2 & ...
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A bus driver covers a certain distance in 3 hours at an average speed of $$80 \mathrm{~km} / \mathrm{h}$$. How long will it take to cover the same distance if the average...
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If it takes 4 hours to travel $$380 \mathrm{~km}$$, how long will it take to travel $$570 \mathrm{~km}$$ at the same average speed?
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Janet travelled a total distance of $$540 \mathrm{~km}$$ by car at an average speed of $$120 \mathrm{~km} / \mathrm{h}$$. How long did she travel?
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A rally driver in a competition is expected to cover a distance of $$285 km$$ in five hours. Part of the race track is murram while the rest is under repair. The drive is...
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Find the standard equation of the circle with center at $$(1,-2)$$ and passing through the point $$(7,4)$$.
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Find the distance from the point $$(1,2)$$ to the line $$3 x-4 y=10$$
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Describe geometrically the family of lines $$y=3 x+b$$.
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Describe geometrically the family of lines $$y=m x+2$$.
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Use two inequalities to describe the set of all points above the line $$L: 4 x+3 y=9$$ and below the line $$M$$ : $$2 x+y=1$$
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Determine whether the lines $$3 x+6 y=7$$ and $$2 x+4 y=5$$ are parallel.
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Does the point $$(-1,-2)$$ lie on the line $$L$$ through the points $$(4,7)$$ and $$(5,9)$$ ?
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If the point $$(2, k)$$ lies on the line with slope $$m=3$$ passing through the point $$(1,6)$$, find $$k$$.
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Find an equation of the line through $$(2,3)$$ and parallel to the line with the equation $$y=5$$.
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Find an equation of the line through $$(2,3)$$ and parallel to the line with the equation $$4 x-2 y=7$$.
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Find an equation of the line $$L$$ through $$(-1,4)$$ and parallel to the line $$M$$ with the equation $$3 x+4 y=2$$.
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Let $$A B C D$$ be a parallellogram in a plane. Let us draw two circles of radius $$R$$, one through the points $$A$$ and $$B$$ and another through the points $$B$$ and \...
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Solve $$4(100)^{\frac{1}{x}}+(25)^{\frac{1}{x}}=4(50)^{\frac{1}{x}}$$ for $$x$$ where $$x \neq 0$$.
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A pair of ladders whose lengths are $$4.2 \mathrm{~m}$$ and $$5.6 \mathrm{~m}$$ are leaned onto a wall such that they reach the same height. The base of the longer ladder...
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Two parallel rods carry currents in opposite directions. Determine the direction of the magnetic force exerted by each rod on the other rod.
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Obtain the price of a 93 unleaded petrol for 06 April 2022, anda. calculate the percentage change in the price.compared to the 05 January 2022 . Show all calculations.
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A plane is through the points $$(1,2,-1)$$ and is perpendicular to the line intersection of the two planes $$2 x+y+z=2$$ and $$x+2 y+z=3$$ ? What is the equation of the p...
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A particle of mass $$m$$ and charge $$Q$$ and velocity $$V$$ is directed toward a uniform electric field of strength $$E$$ and travels a distance $$d$$. How far does the ...
The position of an object is given by the equations $$x=2.0 t^{3}+4.0 t+6.25$$, where $$x$$ is in meters and $$t$$ is in seconds. What is the acceleration of the object a...
A particle moves so that it is at $$\left(3 \sin \frac{t}{4}, 3 \cos \frac{t}{4}\right)$$ at time $$t$$. Find the speed of the particle, measured in unit of distance per ...