Answer:
every point of the object must be moved in the same direction
Step-by-step explanation:
each point the same distance horizontally and the same distance vertically.
Answer:
b
=
4
Step-by-step explanation:
Use the slope-intercept form y
=
m
x
+
b to find the y-intercept b
.
Answer: 120 beats per 45 seconds
Step-by-step explanation:
Using the law of cosine for Triangle KJL, we can write:
![j^{2} = k^{2} + l^{2}-2(k)(l)cos(J) \\ \\ 2(k)(l)cos(J)=k^{2} + l^{2}- j^{2} \\ \\ cos(J)= \frac{k^{2} + l^{2}- j^{2}}{2(k)(l)}](https://tex.z-dn.net/?f=%20j%5E%7B2%7D%20%3D%20k%5E%7B2%7D%20%2B%20l%5E%7B2%7D-2%28k%29%28l%29cos%28J%29%20%20%5C%5C%20%20%5C%5C%20%0A2%28k%29%28l%29cos%28J%29%3Dk%5E%7B2%7D%20%2B%20l%5E%7B2%7D-%20j%5E%7B2%7D%20%5C%5C%20%20%5C%5C%20%0Acos%28J%29%3D%20%5Cfrac%7Bk%5E%7B2%7D%20%2B%20l%5E%7B2%7D-%20j%5E%7B2%7D%7D%7B2%28k%29%28l%29%7D%20%20)
Using the values of k,j and l, we can write:
![cos(J)= \frac{ 4^{2} + (2.89)^{2} - 3^{2} }{2(4)(2.89)} \\ \\ cos(J)= 0.664 \\ \\ J= cos^{-1}(0.664) \\ \\ J=48.39](https://tex.z-dn.net/?f=cos%28J%29%3D%20%5Cfrac%7B%204%5E%7B2%7D%20%2B%20%282.89%29%5E%7B2%7D%20-%203%5E%7B2%7D%20%7D%7B2%284%29%282.89%29%7D%20%20%5C%5C%20%20%5C%5C%20%0Acos%28J%29%3D%200.664%20%5C%5C%20%20%5C%5C%20%0AJ%3D%20cos%5E%7B-1%7D%280.664%29%20%5C%5C%20%20%5C%5C%20%0AJ%3D48.39%20)
Rounding to nearest integer, the measure of angle J will be 48 degrees.
So option B gives the correct answer