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lubasha [3.4K]
3 years ago
8

5k^2(-6k^2-2k+6) A-30K^3 + 3K^2+ 30K B C D

Mathematics
1 answer:
Mademuasel [1]3 years ago
6 0
Taking the test now ill let you know
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Missing fraction plus1/3 equals 3/4
Alenkasestr [34]

Answer:

2/3 + 1/3 = 3/4

Step-by-step explanation:

you have 3/4 you can minus the 3/4 by 1/4 to get 2/4 then you can check by adding 2/4 and 1/4 together to get 3/4.

6 0
2 years ago
$1800 at 6.5% for 30 months
nasty-shy [4]
1800×6.5%×30=b
b-1800=a

a) $1,710

b) $3,510
8 0
3 years ago
Find the distance between points P (-3, 4) and Q (1, 6).
salantis [7]
Just draw a graph and plot them on the graph then count how many squares (in short) there is between them.
7 0
3 years ago
Find the line through (3, 1, −2) that intersects and is perpendicular to the line x = −1 + t, y = −2 + t, z = −1 + t. (HINT: If
mel-nik [20]

Answer:

( xo , yo , zo ) = ( 1 , 0 , 1 )

Step-by-step explanation:

Given:-

- A line passing through point (3, 1, −2) intersects and is perpendicular to line with coordinates:

                  x = −1 + t, y = −2 + t, z = −1 + t   .... t = arbitrary parameter.

Find:-

The coordinates for point of intersection.

Solution:-

- The line that passes through point (3, 1, −2) = ( a, b , c ) and an a arbitrary point on the given line have the following direction vector d2 :

                 d2 = ( x2 , y2 , z2 )

                 x2 = a - ( x ) = 3 - ( -1 + t ) = 4 - t

                 y2 = b - ( y ) = 1 - ( -2 + t ) = 3 - t

                 z2 = c - ( z )  = -2 - ( -1 + t ) = -1 - t

                d2 = (  4 - t , 3 - t , -1 - t )

- The direction vector d1 of the given line is:

                 d1 = ( x1 , y1 , z1 )

                 x1 = 1

                 y1 = 1

                 z1 = 1

                 d1 = ( 1 , 1 , 1 )

- The dot product of two orthogonal vectors is always equal to zero:

                 d1.d2 = 0

                 (  4 - t , 3 - t , -1 - t ) . ( 1 , 1 , 1 ) = 0

- Solve for parameter (t):

                 (4 - t) + (3 - t) + (-1 - t) = 0

                  6 -3t = 0

                  t = 2  

- The coordinates of the point of intersections can be evaluated by substituting the value of "t" into the given equation of line:

                 xo ( t = 2) = - 1 + 2 = 1

                 yo ( t = 2) = - 2 + 2 = 0

                 zo ( t = 2) = - 1 + 2 = 1

- The coordinates are:

                 ( xo , yo , zo ) = ( 1 , 0 , 1 )

8 0
3 years ago
A rectangular sheet of paper has a perimeter of 60cm. When it is folded in half along its longer line of symmetry, the perimeter
Liula [17]

Answer:

Dimensions of the original rectangle:

Length = 19 cm

Width = 11 cm

Step-by-step explanation:

Let

Length = x

Width = y

Original rectangle:

2(Length + width) = 60

2x + 2y = 60

New rectangle has same length with original rectangle but half of the width of the original rectangle when folded

Length = x

Width = 1/2y

2(Length + 1/2width) = 49

2x + y = 49

2x + 2y = 60 (1)

2x + y = 49 (2)

Subtract (2) from (1) to eliminate x

2y - y = 60 - 49

y = 11

Substitute y = 11 into (2)

2x + y = 49

2x + 11 = 49

2x = 49 - 11

2x = 38

x = 38/2

x = 19

Dimensions of the original rectangle:

Length = 19 cm

Width = 11 cm

3 0
3 years ago
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