3,720 Answered Questions for the topic prealgebra

2d

#### 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...
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#### Rewrite the vector equation π«(π‘)=(β3+π‘)π’+(1+3π‘)π£+(β5βπ‘)π€ r ( t ) = ( β 3 + t ) i + ( 1 + 3 t ) j + ( β 5 β t ) k as the corresponding parametric equations for the line.

Rewrite the vector equation π«(π‘)=(β3+π‘)π’+(1+3π‘)π£+(β5βπ‘)π€ r ( t ) = ( β 3 + t ) i + ( 1 + 3 t ) j + ( β 5 β t ) k as the corresponding parametric equations for the line. x(t)y(t)z(t)

3d

#### So the distance from π=(5,β4,4) P = ( 5 , β 4 , 4 ) to the line through the points π΄=(2,5,1) A = ( 2 , 5 , 1 ) and π΅=(5,4,β2) B = ( 5 , 4 , β 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 π=(5,β4,4) P = ( 5 , β 4 , 4 ) to the line...
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4d

#### Suppose π’β―β―β―=β¨1,0β© u Β― = β¨ 1 , 0 β© and π£β―β―β―=β¨2,β3β© v Β― = β¨ 2 , β 3 β© are two vectors that form the sides of a parallelogram. Then the lengths of the two diagonals of the parallelogram are

Suppose π’β―β―β―=β¨1,0β© u Β― = β¨ 1 , 0 β© and π£β―β―β―=β¨2,β3β© v Β― = β¨ 2 , β 3 β© are two vectors that form the sides of a parallelogram. Then the lengths of the two diagonals of the parallelogram are ????

4d

#### Suppose π’β―β―β―=β¨1,0β© u Β― = β¨ 1 , 0 β© and π£β―β―β―=β¨2,β3β© v Β― = β¨ 2 , β 3 β© are two vectors that form the sides of a parallelogram. Then the lengths of the two diagonals of the parallelogram are

Suppose π’β―β―β―=β¨1,0β© u Β― = β¨ 1 , 0 β© and π£β―β―β―=β¨2,β3β© v Β― = β¨ 2 , β 3 β© are two vectors that form the sides of a parallelogram. Then the lengths of the two diagonals of the parallelogram are ????

4d

#### Suppose π΅=(8,4) B = ( 8 , 4 ) and π΄π΅βββ=β¨15,1β© A B β = β¨ 15 , 1 β© . Then

Suppose π΅=(8,4) B = ( 8 , 4 ) and π΄π΅βββ=β¨15,1β© A B β = β¨ 15 , 1 β© . Then A= ??

4d

#### So the distance from π=(3,β3,3) P = ( 3 , β 3 , 3 ) to the line through the points π΄=(β1,β4,0) A = ( β 1 , β 4 , 0 ) and π΅=(β3,0,β1) B = ( β 3 , 0 , β 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 π=(3,β3,3) P = ( 3 , β...
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4d

#### 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).

4d

#### Find the point at which the line β¨β2,β2,0β©+π‘β¨β3,2,β1β© β¨ β 2 , β 2 , 0 β© + t β¨ β 3 , 2 , β 1 β© intersects the plane β3π₯+2π¦β2π§=62 β 3 x + 2 y β 2 z = 62 .

Find the point at which the line β¨β2,β2,0β©+π‘β¨β3,2,β1β© β¨ β 2 , β 2 , 0 β© + t β¨ β 3 , 2 , β 1 β© intersects the plane β3π₯+2π¦β2π§=62 β 3 x + 2 y β 2 z = 62 .

#### 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...
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#### Math question.. thank you.

Bill uses mirrors to augment the βlaser experienceβ 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...
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#### 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
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#### 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.

#### 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.

#### 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...
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#### 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

#### 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.

#### Please help me!!

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

9d

#### Find the angle π ΞΈ between the vectors π=10π’βπ£β5π€ a = 10 i β j β 5 k and π=2π’+π£β8π€ b = 2 i + j β 8 k

Find the angleΒ Β between the vectorsΒ Β andΒ

9d

#### Let π―=ππβ v = P Q β , where π=(β2,2),π=(2,5) P = ( β 2 , 2 ) , Q = ( 2 , 5 ) . Which of the vectors with the following given tails and heads are equivalent to π― v ?

a. (-2,0), (-6,3)b. (0,0), (4,3)c. (4,4), (8,7)d. (0,4), (2,7)

9d

#### Let π=β¨2,4,2β© a = β¨ 2 , 4 , 2 β© and π=β¨β4,0,3β© b = β¨ β 4 , 0 , 3 β© . Show that there are scalars π s and π‘ t so that π π+π‘π=β¨β18,β4,10β©

Β LetΒ Β andΒ . Show that there are scalarsΒ Β andΒ so thatΒ s=t=

9d

#### Find the point at which the line β¨1,0,β4β©+π‘β¨1,3,β5β© β¨ 1 , 0 , β 4 β© + t β¨ 1 , 3 , β 5 β© intersects the plane 4π₯β3π¦β2π§=57 4 x β 3 y β 2 z = 57 .

Find the point at which the lineΒ Β intersects the planeΒ .

12d

#### Find an equation for the plane through the points (5,3,4),(β1,0,2),(0,2,β1).

Find the equation. The plane is: ______ ?

12d

#### Find an equation for the plane through the points (5,3,4),(β1,0,2),(0,2,β1).

Find the equation. The plane is: ______ ?

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