Answer:
y = 3x + 5
Step-by-step explanation:
Two lines which are parallel have the same gradient. This means that the parallel line must have a gradient of 3x
y = 3x + c
To figure out c you substitute in the given coordinate for the x and y values
8 = 3(1) + c
c = 5
y = 3x + 5
Answer:
RH = 8.2 units
Step-by-step explanation:
total circumference = 2rπ = 2(10)(3.14) = 62.8 units
RH = (47°/360°)(62.8) = 8.2 units
Suppose

At the same time, we can write

Note that
(just reverse the sum). Let's pair the first terms of
and
, and the second, and the third, and so on:

Now, each grouped term in the sum on the right side adds to 151. There are 52 grouped terms on that same side (because there are 50 numbers in the range of integers 51-100, plus 50 and 101), which menas

But
, as we pointed out, so

Answer:
rectagle
Step-by-step explanation:
Answer:
T = total #
T = 5 (to the aunt) + 1/2 (T - 5) (to his friends) + 1 (to his sister) + 4 (left)
T = 5 + 1/2 (T - 5) + 1 + 4
T = 10 + 1/2 (T - 5)
2T = 20 + (T - 5)
2T = 20 + T - 5
2T = 15 + T
T = 15
Step-by-step explanation: