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sveta [45]
3 years ago
13

Find 23÷16 . Write in simplest form

Mathematics
2 answers:
stepladder [879]3 years ago
8 0

Answer:

1 17 duhhhhhh

Step-by-step explanation:

melomori [17]3 years ago
5 0

Answer:

1 1/7

Step-by-step explanation:

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Can anyone pls help me in dis
barxatty [35]

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The area of building c minus the area of building b equals the area of building a might be correct?

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3 years ago
-7-(-9) =<br> What is the answer to the question
Rudiy27
Answer: 2

-7 - (-9) could be visualized as -7 + 9

-7 + 9 is 2
7 0
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What is The answer to this equation -9•(5j+k)
vlada-n [284]

Answer:

-45j -9k

Step-by-step explanation:

5 0
2 years ago
Use scalar projection to show that the distance from a point P1(x1,y1) to the line ax+by+c=0 is |ax1+by1+c|/underroot(a^2 +b^2)
Elina [12.6K]

Answer:

d = 13 / 5 units          

Step-by-step explanation:

Given:

- Point P = (-2 , 3 )

- line : 3x - 4y + 5 = 0

Find:

- Use projection to show the given formula

- use the formula to find the distance from given point and line.

Solution:

- Let line L be defined as:

                                     a*x + b*y + c = 0

- Choose A as fixed point on the line L whose coordinates are ( m , k ).

- Now the coordinates of any point (x , y ) can be given by the line L:

                                    a*( x - m ) + b*( y - k ) + c = 0

- We did that by subtracting the coordinates (x,y) from (m,k).

- The above line can represented by dot product of constants (a , b ) to vector coordinates between points (x,y) to (m,k):

                                   ( a , b ) . ( x - m , y - k) = 0

- For above expression to be true i.e the dot product of two vectors is only zero when the vectors are orthogonal. So vector (a , b ) is always perpendicular to every vector in direction of line L

- The vector:

                                         v =  ( x - m , y - k)

- It may represent the line connecting the points (x_1 , y_1) and (m, k).

Then the distance d from the point P_1: (x_1, y_1) to the line L is given by the magnitude of the scalar projection of v onto a, because the latter is the length of the side of a right  triangle with two of the vertices being P_1 and

( m , k), and the other vertex lying on L So:

                                      d = | component v along x |

                                      d =  | v . ( a , b ) | / | (a , b ) |

                                      d = | (x_1 - m , y_1 - k ) . ( a , b)| / sqrt(a^2 + b^2)

                                      d = | ax_1 + by_1 - (a*m + b*k) | / sqrt(a^2 + b^2)

Where point A (m,k) lies on line hence;

                                      a*m + b*k + c = 0

                                      c = - (a*m + b*k)

Hence,

                                      d = | ax_1 + by_1 + c | / sqrt(a^2 + b^2)

- Given point P (-2,3) and line L : 3x - 4y + 5 = 0

where,

                                    (x_1 , y_1) = (-2 , 3 )

                                     (a , b) = ( 3 , -4 )

                                            c = 5

-Evaluate:

                                    d = | 3*(-2) + -4*3 + 5 | / sqrt(3^2 + 4^2)

                                    d = | - 13 | / 5

                                    d = 13 / 5 units                                    

                               

6 0
3 years ago
Find the value of a and b when x = 12
oksano4ka [1.4K]

Answer:

a=120

b=240

Step-by-step explanation:

if x=12

a=5×2×2×2(x-5)

5×2=10×2×2=40

40(x-5) 40x-200

200=40×\40x=5

b=2×10×12=240

a=120

b=240

7 0
3 years ago
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