Answer:
x = -4, y = -6
Step-by-step explanation:
-x+2y = -8
3x-y = -6
x = 2y+8
3(2y+8) - y = -6
6y + 24 -y = -6
5y = -30
y = -6
x = 2(-6)+8 = -12+8 = -4
x = -4, y = -6
9514 1404 393
Answer:
12,566 ft ≈ 2.38 miles
Step-by-step explanation:
The circumference of a circle is given by the formula ...
C = πd
For a diameter of 4000 ft, the circumference of a circular crater is about ...
C = (4000 ft)(3.141593) ≈ 12,566 ft
At 5280 ft per mile, that distance is about ...
(12,566 ft)/(5280 ft/mi) ≈ 2.38 mi
The distance around the crater is about 12,566 ft or 2.38 miles.
For this case we first define the variable:
x = number of terms.
The equation that models the problem is:
f (x) = 3.4 - 0.6x
We have then that the first four terms are:
x = 1
f (1) = 3.4 - 0.6 (1) = 3.4 - 0.6 = 2.8
x = 2
f (2) = 3.4 - 0.6 (2) = 3.4 - 1.2 = 2.2
x = 3
f (3) = 3.4 - 0.6 (3) = 3.4 - 1.8 = 1.6
x = 4
f (4) = 3.4 - 0.6 (4) = 3.4 - 2.4 = 1
Answer:
The rule for the sequence is:
f (x) = 3.4 - 0.6x
option 1
The unlabeled part of the right angle is complementary to 68 degrees, so 22 degrees. y is supplementary to 78 degrees, so 102 degrees. z as the third angle in the small triangle is 180 less than the sum of the other two,
z = 180 - 22 - 102
Answer: 56 degrees
