Answer:
(4;-1)
Step-by-step explanation:
A(-4;2)
B(-2;-1)
C(1;1)
D(-4;-1)
<h3>
Answer: B. 26</h3>
============================================
Use law of cosines to find angle A
a^2 = b^2 + c^2 - 2*b*c*cos(A)
9^2 = 6^2 + 14^2 - 2*6*14*cos(A)
81 = 36 + 196 - 168*cos(A)
81 = 232 - 168*cos(A)
81 - 232 = -168*cos(A)
-151 = -168*cos(A)
-168*cos(A) = -151
cos(A) = (-151)/(-168)
cos(A) = 0.8988095
A = arccos(0.8988095)
A = 25.9979801
A = 26 degrees approximately
Answer:
good luck
Step-by-step explanation:
Answer:
The given situation is in direct variation.
The dependent variable is the distance covered and the independent variable is the number of hours.
Step-by-step explanation:
We are given the following information in the question:
Steve drove 300 miles in 5 hours.
After stopping for gas, he drove an additional 120 miles in 2 hours.
We calculate the ratios and if these ratios are equal then, we can say that the situation represent a direct variation.
For direct variation, the equation is of the form y = kx that is , we can write,
![\displaystyle\frac{y}{x} = k](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7By%7D%7Bx%7D%20%3D%20k)
To check the ratio:
![\displaystyle\frac{300}{5} = \frac{300+120}{5+2} =\frac{420}{7} = 60](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B300%7D%7B5%7D%20%3D%20%5Cfrac%7B300%2B120%7D%7B5%2B2%7D%20%3D%5Cfrac%7B420%7D%7B7%7D%20%3D%2060)
Thus, the given situation is in direct variation.
The dependent variable is the distance covered and the independent variable is the number of hours.
Answer:
15x + 9 (We combing like terms. Ex. 16x and -x)