The distance between two positions with longitudes A and B is given by ||A| - |B|| if the two positions are at the same side of the meridian (0 degrees longitude) and |A| + |B| if both positions are at different sides of the meridian.
Given that <span>Moscow is at 37.62 degrees longitude and Brasilia is at -47.87
degrees longitude, thus the two cities are at different sides of the meridian.
Therefore, the distance </span><span>(in degrees) between the longitude lines of Moscow and Brasilia</span> is |37.62| + |-47.87| = 37.62 + 47.87 = 85.49
(a) Using the completing the square method, we need to write into the form of where , so
Expand to find the value of c
Notice that we get back the first two terms, the and the .We need to get rid of the last term of '9' as the term was not in the original form. The final form will look like
Hence,
(b)
(c) , square root both sides plus and minus of 2 Hence
Answer: A) Point B, because if cups of frosting are 50, then drops of food coloring will be 200.
This is because the proportion of frosting to food coloring is 1:4, and if the answer to A is simplified (50:200), the ratio would be the same.
Answer:
210
Step-by-step explanation:
(d): y = mx+n
m = -2/3 ⇒ y = (-2/3)x +n
A(-4, 6) ∈ d ⇒ 6 = (-2/3)·(-4) +n ⇒ 6 = 8/3 +n ⇒
⇒ n = 6 - 8/3 ⇒ n = 10/3
Now, we have:
y = (-2/3)x +10/3