With u = <-7, 6> and v = <-4, 17>, we have
u + 3v = <-7, 6> + 3 <-4, 17> = <-7, 6> + <-12, 51> = <-19, 57>
We want to find a vector w such that
u + 3v + w = <1, 0>
Subtract u + 3v from both sides to get
w = <1, 0> - (u + 3v) = <1, 0> - <-19, 57>
w = <20, -57>
Answer:
Kayla bought 7 tacos and 10 hotdogs
Step-by-step explanation:
Let the number of hotdogs be x.
Let the number of tacos be y.
i) It is given that x = y + 3
ii) It is also given that 3.5x + 4y = 63, therefore 7x + 8y = 126
iii) substituting the value of x from i) in ii) we get 7(y + 3) + 8y = 126
therefore 15y + 21 = 126
therefore 15y = 105
therefore y = 7
Therfore Kayla bought 7 tacos
iv) Using the value of y from iii) in i) we x = 7 + 3 = 10
Therefore Kayla bought 10 hotdogs
Answer:
Step-by-step explanation:
Given
Points: (1, 9) and (9, 3)
Ratio = 2/3
Required
Determine the coordinate of the center
Represent the ratio as ratio
The new coordinate can be calculated using
Where
Substitute these values in the equation above
Hence;
<em>The coordinates of the new center is </em><em></em>
Answer:
13
Step-by-step explanation:
substitute all the numbers in
6+3/6+3/6+6=13
