3,720 Answered Questions for the topic prealgebra

write the following numbers in a +bi form

A. (4+4i)/(-4+4i)=B. -3/3i + -4/2i=C. (5i)^3 =

Projectile Motion

question 1: An object is thrown upward with an initial velocity of 15 feet per second. Its height is given by h= -15t^2 + 60t. After how many seconds does it hit the ground?question 2: A... more

3d

Rewrite the vector equation 𝐫(𝑑)=(βˆ’3+𝑑)𝐒+(1+3𝑑)𝐣+(βˆ’5βˆ’π‘‘)𝐀 r ( t ) = ( βˆ’ 3 + t ) i + ( 1 + 3 t ) j + ( βˆ’ 5 βˆ’ t ) k as the corresponding parametric equations for the line.

Rewrite the vector equation 𝐫(𝑑)=(βˆ’3+𝑑)𝐒+(1+3𝑑)𝐣+(βˆ’5βˆ’π‘‘)𝐀 r ( t ) = ( βˆ’ 3 + t ) i + ( 1 + 3 t ) j + ( βˆ’ 5 βˆ’ t ) k as the corresponding parametric equations for the line. x(t)y(t)z(t)

So the distance from 𝑃=(5,βˆ’4,4) P = ( 5 , βˆ’ 4 , 4 ) to the line through the points 𝐴=(2,5,1) A = ( 2 , 5 , 1 ) and 𝐡=(5,4,βˆ’2) B = ( 5 , 4 , βˆ’ 2 ) is

the distance d of a point P to the line through the points A and B is the length of the component of AP that is orthogonal to AB So the distance from 𝑃=(5,βˆ’4,4) P = ( 5 , βˆ’ 4 , 4 ) to the line... more

Suppose π‘’βŽ―βŽ―βŽ―=⟨1,0⟩ u Β― = ⟨ 1 , 0 ⟩ and π‘£βŽ―βŽ―βŽ―=⟨2,βˆ’3⟩ v Β― = ⟨ 2 , βˆ’ 3 ⟩ are two vectors that form the sides of a parallelogram. Then the lengths of the two diagonals of the parallelogram are

Suppose π‘’βŽ―βŽ―βŽ―=⟨1,0⟩ u Β― = ⟨ 1 , 0 ⟩ and π‘£βŽ―βŽ―βŽ―=⟨2,βˆ’3⟩ v Β― = ⟨ 2 , βˆ’ 3 ⟩ are two vectors that form the sides of a parallelogram. Then the lengths of the two diagonals of the parallelogram are ????

Suppose π‘’βŽ―βŽ―βŽ―=⟨1,0⟩ u Β― = ⟨ 1 , 0 ⟩ and π‘£βŽ―βŽ―βŽ―=⟨2,βˆ’3⟩ v Β― = ⟨ 2 , βˆ’ 3 ⟩ are two vectors that form the sides of a parallelogram. Then the lengths of the two diagonals of the parallelogram are

Suppose π‘’βŽ―βŽ―βŽ―=⟨1,0⟩ u Β― = ⟨ 1 , 0 ⟩ and π‘£βŽ―βŽ―βŽ―=⟨2,βˆ’3⟩ v Β― = ⟨ 2 , βˆ’ 3 ⟩ are two vectors that form the sides of a parallelogram. Then the lengths of the two diagonals of the parallelogram are ????

Suppose 𝐡=(8,4) B = ( 8 , 4 ) and π΄π΅βˆ’β†’βˆ’=⟨15,1⟩ A B β†’ = ⟨ 15 , 1 ⟩ . Then

Suppose 𝐡=(8,4) B = ( 8 , 4 ) and π΄π΅βˆ’β†’βˆ’=⟨15,1⟩ A B β†’ = ⟨ 15 , 1 ⟩ . Then A= ??

So the distance from 𝑃=(3,βˆ’3,3) P = ( 3 , βˆ’ 3 , 3 ) to the line through the points 𝐴=(βˆ’1,βˆ’4,0) A = ( βˆ’ 1 , βˆ’ 4 , 0 ) and 𝐡=(βˆ’3,0,βˆ’1) B = ( βˆ’ 3 , 0 , βˆ’ 1 ) is

The distanceΒ Β of a pointΒ Β to the line through pointsΒ  A and B is the length of the component AP ofΒ Β that is orthogonal to AB, as indicated in the diagram.So the distance from 𝑃=(3,βˆ’3,3) P = ( 3 , βˆ’... more

Find the distance the point P(-2, 2, 3), is to the plane through the three points Q(-1, 0, 2), R(1, -2, 5), and S(-3, -2, 4).

Find the distance the point P(-2, 2, 3), is to the plane through the three points Q(-1, 0, 2), R(1, -2, 5), and S(-3, -2, 4).

Find the point at which the line βŸ¨βˆ’2,βˆ’2,0⟩+π‘‘βŸ¨βˆ’3,2,βˆ’1⟩ ⟨ βˆ’ 2 , βˆ’ 2 , 0 ⟩ + t ⟨ βˆ’ 3 , 2 , βˆ’ 1 ⟩ intersects the plane βˆ’3π‘₯+2π‘¦βˆ’2𝑧=62 βˆ’ 3 x + 2 y βˆ’ 2 z = 62 .

Find the point at which the line βŸ¨βˆ’2,βˆ’2,0⟩+π‘‘βŸ¨βˆ’3,2,βˆ’1⟩ ⟨ βˆ’ 2 , βˆ’ 2 , 0 ⟩ + t ⟨ βˆ’ 3 , 2 , βˆ’ 1 ⟩ intersects the plane βˆ’3π‘₯+2π‘¦βˆ’2𝑧=62 βˆ’ 3 x + 2 y βˆ’ 2 z = 62 .
Prealgebra Math Algebra 1 Algebra 2

5d

algebra question

Incline mats, or triangle mats, are offered with different levels of incline to help gymnasts learn basic moves. As the name may suggest, two sides of the mat are right triangles. If the height of... more
Prealgebra Math Algebra 1 Algebra 2

6d

Math question.. thank you.

Bill uses mirrors to augment the β€œlaser experience” at a laser show. At one show he places three mirrors, A ,B, C,Β  in a right triangular form. If the distance between AΒ  and B is 8 m more than the... more
Prealgebra Math Algebra 1 Algebra 2

6d

THANKS IN ADVANCE!

An architect wants to draw a rectangle with a diagonal of 25 millimeters. The length of the rectangle is to be 10 millimeters more than twiceΒ the width. What dimensions should she make the rectangle?Β  more
Prealgebra Math Algebra 1 Algebra 2

6d

Help me, thanks!

The difference between two positive integers is 6. If theΒ smaller is added to the square of the larger, the sum is 104 . Find the integers by solving the equation.
Prealgebra Math Algebra 1 Algebra 2

6d

MATHH QUESTION!

A rectangle has a length of 14 yards less than 2 times its width. If the area of the rectangle is 660 square yards, find the length of the rectangle.
Prealgebra Math Algebra 1 Algebra 2

6d

MATH QUESTION!!

A telephone pole has a wire attached to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor point is 49 feet less than the height of the pole. If the wire... more
Prealgebra Math Algebra 1 Algebra 2

6d

MATH QUESTION!!

Incline mats, or triangle mats, are offered with different levels of incline to help gymnasts learn basic moves. As the name may suggest, two sides of the mat are right triangles. If the height of... more
Prealgebra Math Algebra 1 Algebra 2

6d

PLEASE help me.. thank you in advance.

Consider two consecutive positive integers such that the square of the second integer added to 2 times the first is equal to 78 .Find the integers by solving the equation.
Prealgebra Math Algebra 1 Algebra 2

6d

Please help me!!

One positive integer is 4 less than twice another. The sum of their squares is 772 . Find the integers.

Find an equation for the plane through the points (5,3,4),(βˆ’1,0,2),(0,2,βˆ’1).

Find the equation. The plane is: ______ ?

Find an equation for the plane through the points (5,3,4),(βˆ’1,0,2),(0,2,βˆ’1).

Find the equation. The plane is: ______ ?

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