Answer: 1 unit to the left, and 3 units down
Step-by-step explanation:
Step-by-step answer:
Let's attack the left side:
log_8 12 = log (base 8) 12 = log(12)/log(8) = 1.1949875 (approx.)
Next solve
log_8 12 = x-2
log(12)/log(8) = x-2
x = 2 + log(12)/log(8)
= 3.195 (to one thousandth)
Answer:
it is an arithmetic sequence
m is slope
b is y-intercept
Step-by-step explanation:
Answer:
The perimeter (to the nearest integer) is 9.
Step-by-step explanation:
The upper half of this figure is a triangle with height 3 and base 6. If we divide this vertically we get two congruent triangles of height 3 and base 3. Using the Pythagorean Theorem we find the length of the diagonal of one of these small triangles: (diagonal)^2 = 3^2 + 3^2, or (diagonal)^2 = 2*3^2.
Therefore the diagonal length is (diagonal) = 3√2, and thus the total length of the uppermost two sides of this figure is 6√2.
The lower half of the figure has the shape of a trapezoid. Its base is 4. Both to the left and to the right of the vertical centerline of this trapezoid is a triangle of base 1 and height 3; we need to find the length of the diagonal of one such triangle. Using the Pythagorean Theorem, we get
(diagonal)^2 = 1^2 + 3^2, or 1 + 9, or 10. Thus, the length of each diagonal is √10, and so two diagonals comes to 2√10.
Then the perimeter consists of the sum 2√10 + 4 + 6√2.
which, when done on a calculator, comes to 9.48. We must round this off to the nearest whole number, obtaining the final result 9.
