1,322 prompts matching "Practice: Working through a quadratic by completing the square, step by step"
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Solve simultaneous equations with Cramer's rule (order 2) #1
I am in SS 3. Use Cramer's rule to solve 2x + 3y = 7 and x - y = 1. Set up the coefficient
Solve simultaneous equations with Cramer's rule (order 2) #4
Use Cramer's rule to solve 5x + 2y = 16 and x - 3y = -7. Set up the coefficient determinan
Solve a 3x3 simultaneous equation system with Cramer's rule #2
I am in SS 3. Use Cramer's rule to solve the system 2x + y - z = 5, x - y + 2z = 1, 3x + 2
Solve simultaneous equations using an inverse matrix #2
I am in SS 3. Show me how to write 4x + y = 9 and 2x + 3y = 8 as a matrix equation, find t
Define mass, force and weight with correct units
I am in SS 3. Ask me to define mass, force and weight, state the SI unit of each, and expl
Resolve a force into horizontal and vertical components #4
I am in SS 3. Give me a resolution of forces problem with a force of 12N at 70 degrees to
Spot my mistake resolving a force
I am in SS 3. I resolved a 20N force acting at 35 degrees to the horizontal into component
Teach me composition of coplanar forces
I am in SS 3. Teach me what composition of forces means in mechanics and how it differs fr
Solve a binomial probability problem #4
I am in SS 3. Give me a binomial distribution problem where n=12, p=0.4, find P(X=5), usin
Solve a Poisson distribution problem #1
I am in SS 3. Give me a Poisson distribution problem where the mean rate of 4 per hour, fi
Solve a Poisson distribution problem #2
I am in SS 3. Give me a Poisson distribution problem where the mean rate of 3 defects per
Solve a Poisson distribution problem #3
I am in SS 3. Give me a Poisson distribution problem where the mean rate of 5 calls per mi
Solve a Poisson distribution problem #4
I am in SS 3. Give me a Poisson distribution problem where the mean rate of 2.5 accidents
Spot my mistake in a binomial probability question
I am in SS 3. I calculated P(X=3) for a binomial distribution but I think I used the wrong
Spot my mistake in standardising a normal variable
I am in SS 3. I tried to convert a normal distribution value to a z-score but I'm not conf
Solve a three coplanar forces in equilibrium problem #1
I am in SS 3. Give me a problem involving three forces of 8N, 10N and 12N acting at a poin
Solve a three coplanar forces in equilibrium problem #2
I am in SS 3. Give me a problem involving three coplanar forces acting on a ring where two
Spot my mistake taking moments about a pivot
I am in SS 3. I calculated the moment of a force about a pivot but I think I used the wron
Position vectors and displacement between points #1
I am in SS 3. Give me a vectors problem where I have points A(2,3) and B(5,-1), find vecto
Position vectors and displacement between points #2
I am in SS 3. Give me a vectors problem where I have points A(1,2,3) and B(4,0,-2), find v