Answer:

Step-by-step explanation:
Let's follow up with the solution. Considering a triangle with the vertices
,
and
, have a look at the representation in the cartesian plan.
From this representation we can say that the area (A) of a triangle through the knowledge of <u>analytical geometry</u> is given by the determinant of the vertices divided by two, mathematically,

So, applying this knowledge we're going to have,

![\mathsf{A} \triangle = \dfrac{1}{2}\left[ \left.\begin{array}{ccc} 3 & -7 & 1 \\ 6 & 4 & 1 \\ -2& -3 & 1 \end{array} \right| \begin{array}{cc} 3 & -7 \\ 6 & 4 \\ -2 & -3 \end{array} \right]](https://tex.z-dn.net/?f=%20%5Cmathsf%7BA%7D%20%5Ctriangle%20%3D%20%20%5Cdfrac%7B1%7D%7B2%7D%5Cleft%5B%20%20%5Cleft.%5Cbegin%7Barray%7D%7Bccc%7D%20%20%203%20%26%20-7%20%26%201%20%5C%5C%206%20%26%20%204%20%26%201%20%5C%5C%20-2%26%20%20-3%20%26%201%20%5Cend%7Barray%7D%20%20%5Cright%7C%20%5Cbegin%7Barray%7D%7Bcc%7D%203%20%26%20-7%20%5C%5C%206%20%26%204%20%5C%5C%20-2%20%26%20-3%20%5Cend%7Barray%7D%20%5Cright%5D%20)


Hope you enjoy it, see ya!)
Mozambique, Maputo – Matola City – T-3
DavidJunior17
Answer:
5q^7
Step-by-step explanation:
When multiplying exponents(if positive), you must add them together. So, (5q^4)³ will be 5q^7 because the exponents were positive and they were multiplying so you add them together and leave the variable and number 5 alone.
Hope this helps! :)
Answer:
50 cm
Step-by-step explanation:
Convert 1.425km into cm
1.425 * 1000 * 100 = 142500 cm
Divide the total cm by total no of steps
142500/ 2850 = 50cm
Keeping in mind that 6 months is not even a year, since there are 12 months in a year, then 6 months is really 6/12 years, and 9 months is 9/12 years, then


check their difference, that much.
Answer:
Slope is - 2 because The slope-intercept form is y=mx+b where m is the slope value. In the equation y=-2x , the m value is - 2 .