<h3>
Answer:</h3>
(x, y) = (7, -5)
<h3>
Step-by-step explanation:</h3>
It generally works well to follow directions.
The matrix of coefficients is ...
![\left[\begin{array}{cc}2&4\\-5&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%264%5C%5C-5%263%5Cend%7Barray%7D%5Cright%5D)
Its inverse is the transpose of the cofactor matrix, divided by the determinant. That is ...
![\dfrac{1}{26}\left[\begin{array}{ccc}3&-4\\5&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B26%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-4%5C%5C5%262%5Cend%7Barray%7D%5Cright%5D)
So the solution is the product of this and the vector of constants [-6, -50]. That product is ...
... x = (3·(-6) +(-4)(-50))/26 = 7
... y = (5·(-6) +2·(-50))/26 = -5
The solution using inverse matrices is ...
... (x, y) = (7, -5)
The correct question is
<span>A student ate 3/20 of all candies and another 1.2 lb. Another student ate 3/5 of the candies and the remaining 0.3 lb. Altogether, what weight of candies did they eat?</span>
let
x-------> total <span>weight of candies
we know that
x=(3/20)*x+1.2+(3/5)*x+0.3
</span>x=(3/20)*x+(3/5)*x+1.5----> multiply by 20----> 20x=3x+12x+30
20x=15x+30
20x-15x=30
5x=30
x=6 lb
the answer is
6 lb
Answer:
C
Step-by-step explanation:
The horizontal line, y=2, is solid and shaded above, so it represents
The slanted line, y=x is dashed and shaded below, so it represents y<x.
Answer:
<h2><em><u>nearest tenth of a mile. The data is listed below. Compute the range, standard deviation and variance of the data. 1.1 5.2 3.6 5.0 4.8 1.8 2.2 5.2 1.5 0.8 40) compare three data sets. Without calculating, determine which data set has the greatest sample standard deviation and which has the least sample standard deviation</u></em></h2>
Step-by-step explanation:
brainlist i did show work plzzzz
Answer:
137.4 meters
Step-by-step explanation:
In this case, they give us the height of the lighthouse that corresponds to 50 meters and the depression angle is 20 °, in this case we can apply the tangent trigonometric function, which relates the opposite side to the adjacent side.
tan a ° = opposite / adjacent
the horizontal that is formed would be the adjacent side, therefore if we solve we are left with:
horizontal distance = opposite / tan to °
replacing, we are left with:
hd = 50 / tan 20 °
hd = 50 / 0.3639
hd = 137.4
the horizontal distance is equal to 137.4 meters
