Answer:
21 units ²
Step-by-step explanation:
area of a triangle: base * height /2
6 * 7/2
42/2
21
Point p lies in the 1st quadrant.
Answer:
Alina had at the beginning
cookies
Step-by-step explanation:
we know that
c-----> represent 30% of all the cookies Alina had
Let
x-----> the 100% of all the cookies Alina had
by proportion
![\frac{c}{30\%} =\frac{x}{100\%}\\ \\x=100*c/30\\ \\x=\frac{10}{3}c](https://tex.z-dn.net/?f=%5Cfrac%7Bc%7D%7B30%5C%25%7D%20%3D%5Cfrac%7Bx%7D%7B100%5C%25%7D%5C%5C%20%5C%5Cx%3D100%2Ac%2F30%5C%5C%20%5C%5Cx%3D%5Cfrac%7B10%7D%7B3%7Dc)
Consider the system of linear equation:
![\left\{\begin{array}{l}a_1x+b_1y=c_1\\a_2x+b_2y=c_2\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Da_1x%2Bb_1y%3Dc_1%5C%5Ca_2x%2Bb_2y%3Dc_2%5Cend%7Barray%7D%5Cright.)
This system will have:
- exactly one solution if
![\dfrac{a_1}{a_2}\neq \dfrac{b_1}{b_2};](https://tex.z-dn.net/?f=%5Cdfrac%7Ba_1%7D%7Ba_2%7D%5Cneq%20%5Cdfrac%7Bb_1%7D%7Bb_2%7D%3B)
- no solutions if
![\dfrac{a_1}{a_2}= \dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2};](https://tex.z-dn.net/?f=%5Cdfrac%7Ba_1%7D%7Ba_2%7D%3D%20%5Cdfrac%7Bb_1%7D%7Bb_2%7D%5Cneq%20%5Cdfrac%7Bc_1%7D%7Bc_2%7D%3B)
- infinetely many solutions if
![\dfrac{a_1}{a_2}= \dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}.](https://tex.z-dn.net/?f=%5Cdfrac%7Ba_1%7D%7Ba_2%7D%3D%20%5Cdfrac%7Bb_1%7D%7Bb_2%7D%3D%5Cdfrac%7Bc_1%7D%7Bc_2%7D.)
If a system of linear equations consists of two lines that are exactly the same (
), then
and the system will have infinitely many solutions.
Answer: correct choice is D.
Answer:
z1 = -1.95
z5 = 0.05
z6.5 = 0.8
Step-by-step explanation: Good luck! :D