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(𝑡)=(−3+𝑡)𝐢+(1+3𝑡)𝐣+(−5−𝑡)𝐤 r ( t ) = ( − 3 + t ) i + ( 1 + 3 t ) j + ( − 5 − t ) k as the corresponding parametric equations for the line.

Rewrite the vector equation 𝐫(𝑡)=(−3+𝑡)𝐢+(1+3𝑡)𝐣+(−5−𝑡)𝐤 r ( t ) = ( − 3 + t ) i + ( 1 + 3 t ) j + ( − 5 − t ) k as the corresponding parametric equations for the line. x(t)y(t)z(t)

#### So the distance from 𝑃=(5,−4,4) P = ( 5 , − 4 , 4 ) to the line through the points 𝐴=(2,5,1) A = ( 2 , 5 , 1 ) and 𝐵=(5,4,−2) B = ( 5 , 4 , − 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,−4,4) P = ( 5 , − 4 , 4 ) to the line... more

#### Suppose 𝑢⎯⎯⎯=⟨1,0⟩ u ¯ = ⟨ 1 , 0 ⟩ and 𝑣⎯⎯⎯=⟨2,−3⟩ v ¯ = ⟨ 2 , − 3 ⟩ are two vectors that form the sides of a parallelogram. Then the lengths of the two diagonals of the parallelogram are

Suppose 𝑢⎯⎯⎯=⟨1,0⟩ u ¯ = ⟨ 1 , 0 ⟩ and 𝑣⎯⎯⎯=⟨2,−3⟩ v ¯ = ⟨ 2 , − 3 ⟩ are two vectors that form the sides of a parallelogram. Then the lengths of the two diagonals of the parallelogram are ????

#### Suppose 𝑢⎯⎯⎯=⟨1,0⟩ u ¯ = ⟨ 1 , 0 ⟩ and 𝑣⎯⎯⎯=⟨2,−3⟩ v ¯ = ⟨ 2 , − 3 ⟩ are two vectors that form the sides of a parallelogram. Then the lengths of the two diagonals of the parallelogram are

Suppose 𝑢⎯⎯⎯=⟨1,0⟩ u ¯ = ⟨ 1 , 0 ⟩ and 𝑣⎯⎯⎯=⟨2,−3⟩ v ¯ = ⟨ 2 , − 3 ⟩ are two vectors that form the sides of a parallelogram. Then the lengths of the two diagonals of the parallelogram are ????

#### Suppose 𝐵=(8,4) B = ( 8 , 4 ) and 𝐴𝐵−→−=⟨15,1⟩ A B → = ⟨ 15 , 1 ⟩ . Then

Suppose 𝐵=(8,4) B = ( 8 , 4 ) and 𝐴𝐵−→−=⟨15,1⟩ A B → = ⟨ 15 , 1 ⟩ . Then A= ??

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

The distance  of a point  to the line through points  A and B is the length of the component AP of  that is orthogonal to AB, as indicated in the diagram.So the distance from 𝑃=(3,−3,3) P = ( 3 , −... 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 ⟨−2,−2,0⟩+𝑡⟨−3,2,−1⟩ ⟨ − 2 , − 2 , 0 ⟩ + t ⟨ − 3 , 2 , − 1 ⟩ intersects the plane −3𝑥+2𝑦−2𝑧=62 − 3 x + 2 y − 2 z = 62 .

Find the point at which the line ⟨−2,−2,0⟩+𝑡⟨−3,2,−1⟩ ⟨ − 2 , − 2 , 0 ⟩ + t ⟨ − 3 , 2 , − 1 ⟩ intersects the plane −3𝑥+2𝑦−2𝑧=62 − 3 x + 2 y − 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 “laser experience” at a laser show. At one show he places three mirrors, A ,B, C,  in a right triangular form. If the distance between A  and B is 8 m more than the... more
Prealgebra Math Algebra 1 Algebra 2

6d

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 twice the width. What dimensions should she make the rectangle?  more
Prealgebra Math Algebra 1 Algebra 2

6d

#### Help me, thanks!

The difference between two positive integers is 6. If the 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

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

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

#### Find the angle 𝜃 θ between the vectors 𝐚=10𝐢−𝐣−5𝐤 a = 10 i − j − 5 k and 𝐛=2𝐢+𝐣−8𝐤 b = 2 i + j − 8 k

Find the angle  between the vectors  and

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

Find the equation. The plane is: ______ ?

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

Find the equation. The plane is: ______ ?

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