![Slope= \frac{y_2-y_1}{x_2-x_1} = \frac{-\frac{9}{2} - (-1)}{-2- (-\frac{5}{3})}=\frac{ - \frac{9}{2} + 1}{-2 + \frac{5}{3}} \\= \frac{ - \frac{7}{2}}{ - \frac{1}{3}} \\= \frac{ - \frac{7}{2}\cdot6}{ - \frac{1}{3}\cdot6} \\=\frac{-21}{ -2} \\ =\boxed{\bf{ \frac{21}{2}}}](https://tex.z-dn.net/?f=Slope%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%3D%20%5Cfrac%7B-%5Cfrac%7B9%7D%7B2%7D%20-%20%28-1%29%7D%7B-2-%20%28-%5Cfrac%7B5%7D%7B3%7D%29%7D%3D%5Cfrac%7B%20-%20%5Cfrac%7B9%7D%7B2%7D%20%2B%20%201%7D%7B-2%20%2B%20%20%20%5Cfrac%7B5%7D%7B3%7D%7D%20%5C%5C%3D%20%20%5Cfrac%7B%20-%20%5Cfrac%7B7%7D%7B2%7D%7D%7B%20-%20%5Cfrac%7B1%7D%7B3%7D%7D%20%5C%5C%3D%20%5Cfrac%7B%20-%20%5Cfrac%7B7%7D%7B2%7D%5Ccdot6%7D%7B%20-%20%5Cfrac%7B1%7D%7B3%7D%5Ccdot6%7D%20%5C%5C%3D%5Cfrac%7B-21%7D%7B%20-2%7D%20%20%5C%5C%20%20%3D%5Cboxed%7B%5Cbf%7B%20%5Cfrac%7B21%7D%7B2%7D%7D%7D)
So... none of your answers are correct. The correct answer is
21/2.
Answer:
81
Step-by-step explanation:
3^2
3 × 3
= 9
3^2
3 × 3
= 9
9 × 9
= 81
Answer: LAST OPTION
Step-by-step explanation:
The complex numbers shown have the form:
![a+bi](https://tex.z-dn.net/?f=a%2Bbi)
By definition, the distance can the distance of the complex number from the origin on the complex plane can be calculated with the formula shown below:
![d=\sqrt{a^2+b^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7Ba%5E2%2Bb%5E2%7D)
Substitute values of each option. Then:
1) ![d=\sqrt{2^2+15^2}=\sqrt{229}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B2%5E2%2B15%5E2%7D%3D%5Csqrt%7B229%7D)
2) ![d=\sqrt{17^2+1^2}=\sqrt{290}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B17%5E2%2B1%5E2%7D%3D%5Csqrt%7B290%7D)
3) ![d=\sqrt{20^2+(-3)^2}=\sqrt{409}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B20%5E2%2B%28-3%29%5E2%7D%3D%5Csqrt%7B409%7D)
4)
(CORRECT OPTION)
Answer:
Step-by-step explanation:
Let x = number of hours to pull weed in a day
Let y = number of hours to now lawn in a day
It takes her an average of 3 hours to pull weeds and an average of 2.5 hours to mow the lawn. She can work no more than 8 hours a day.
This means
3x + 2.5y is lesser than/ equal to 8
She charges $50 to weed and $65 to mow the lawn.
This means she charges
50x +65y
She needs to cover her expenses of $120 to make a profit. This means she needs to earn an amount greater than or equal to $120
50x + 65y greater than or equal to 120
yeah i dont understand what that even means.