Answer:
(-2,5),(0,5),(-2,0)
Step-by-step explanation:
×- axis and y- axis
3.5 times as much flour as chocolate chips....
f = 3.5c
f = 1 3/4 (or 1.75)
1.75 = 3.5c
1.75 / 3.5 = c
0.5 = c......chocolate chips needed would be 1/2 a cup
Answer: it’s 2
Step-by-step explanation:
You see ya just Ehhe ha multigibd 8372 and 87:)&2 then you .,992
Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.
![\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Ctextit%7Bhyperbolas%2C%20horizontal%20traverse%20axis%20%7D%20%5C%5C%5C%5C%20%5Ccfrac%7B%28x-%20h%29%5E2%7D%7B%20a%5E2%7D-%5Ccfrac%7B%28y-%20k%29%5E2%7D%7B%20b%5E2%7D%3D1%20%5Cqquad%20%5Cbegin%7Bcases%7D%20center%5C%20%28%20h%2C%20k%29%5C%5C%20vertices%5C%20%28%20h%5Cpm%20a%2C%20k%29%5C%5C%20c%3D%5Ctextit%7Bdistance%20from%7D%5C%5C%20%5Cqquad%20%5Ctextit%7Bcenter%20to%20foci%7D%5C%5C%20%5Cqquad%20%5Csqrt%7B%20a%20%5E2%20%2B%20b%20%5E2%7D%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)
![\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D%20h%3D0%5C%5C%20k%3D0%5C%5C%20a%3D2%5C%5C%20c%3D4%20%5Cend%7Bcases%7D%5Cimplies%20%5Ccfrac%7B%28x-0%29%5E2%7D%7B2%5E2%7D-%5Ccfrac%7B%28y-0%29%5E2%7D%7Bb%5E2%7D%20%5C%5C%5C%5C%5C%5C%20c%5E2%3Da%5E2%2Bb%5E2%5Cimplies%204%5E2%3D2%5E2%2Bb%5E2%5Cimplies%2016%3D4%2Bb%5E2%5Cimplies%20%5Cunderline%7B12%3Db%5E2%7D%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B%28x-0%29%5E2%7D%7B2%5E2%7D-%5Ccfrac%7B%28y-0%29%5E2%7D%7B12%7D%5Cimplies%20%5Cboxed%7B%5Ccfrac%7Bx%5E2%7D%7B4%7D-%5Ccfrac%7By%5E2%7D%7B12%7D%7D)
Answer:
3.5 square cm
Step-by-step explanation:
![Area \: of \: both \: squares \\ = {2}^{2} + {3}^{2} \\ = 4 + 9 \\ = 13 \: {cm}^{2} \\ \\ Area \: of \: both \: right \: \triangle s \\ = \frac{1}{2} \times (2 + 3) \times 2 + \frac{1}{2} \times3 \times 3 \\ = 5 \times 1+ 1.5 \times 3 \\ = 5 + 4.5 \\ = 9.5 \: {cm}^{2} \\ \\ Area \: of \:shaded \: region \\ = Area \: of \: both \: squares\\ - Area \: of \: both \: right \: \triangle s \\ = 13 - 9.5 \\ \purple { \boxed{ \bold{Area \: of \:shaded \: region = 3.5 \: {cm}^{2} }}}](https://tex.z-dn.net/?f=Area%20%5C%3A%20of%20%5C%3A%20both%20%5C%3A%20squares%20%20%5C%5C%20%3D%20%20%7B2%7D%5E%7B2%7D%20%20%2B%20%20%7B3%7D%5E%7B2%7D%20%20%5C%5C%20%20%3D%204%20%2B%209%20%5C%5C%20%20%3D%2013%20%5C%3A%20%20%7Bcm%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20Area%20%5C%3A%20of%20%5C%3A%20both%20%5C%3A%20right%20%5C%3A%20%20%5Ctriangle%20s%20%5C%5C%20%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20%282%20%2B%203%29%20%5Ctimes%202%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes3%20%5Ctimes%203%20%5C%5C%20%20%3D%205%20%5Ctimes%201%2B%201.5%20%5Ctimes%203%20%5C%5C%20%20%3D%205%20%2B%204.5%20%5C%5C%20%20%3D%209.5%20%5C%3A%20%20%7Bcm%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20Area%20%5C%3A%20of%20%5C%3Ashaded%20%5C%3A%20region%20%5C%5C%20%20%3D%20Area%20%5C%3A%20of%20%5C%3A%20both%20%5C%3A%20squares%5C%5C%20-%20Area%20%5C%3A%20of%20%5C%3A%20both%20%5C%3A%20right%20%5C%3A%20%20%5Ctriangle%20s%20%5C%5C%20%20%3D%2013%20-%209.5%20%5C%5C%20%20%20%5Cpurple%20%7B%20%5Cboxed%7B%20%5Cbold%7BArea%20%5C%3A%20of%20%5C%3Ashaded%20%5C%3A%20region%20%3D%203.5%20%5C%3A%20%20%7Bcm%7D%5E%7B2%7D%20%7D%7D%7D)